Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T12:42:40.391414Z
Paper Citation Record · LEDGER
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions
As of 18 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 3 inbound Pith citation observations for arXiv:2504.12231.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:24:30.247613Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T15:36:06.177698Z
Reference resolution
64 of 64 outbound references displayed
- verified exact1
- verified fuzzy32
- unresolved31
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 19e1691f-6fe1-4067-b656-261bca4401a3 · outbound
This paper cites Biler , Singularities of solutions to chemotaxis systems, vol.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Biler , Singularities of solutions to chemotaxis systems, vol
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:41.261405Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9ec38529-4d79-4034-b564-425ff6dd01e8 · outbound
This paper cites Biler, I.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Biler, I
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:41.249710Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 018d50b7-7e99-4fb3-a4ff-535d73d9912a · outbound
This paper cites Blanchet, J.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Blanchet, J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:41.237134Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d6e41631-a78b-4bee-8584-c33f423dc104 · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:42:41.224387Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f76d79e6-f6e5-4ed3-87a6-54aa92340793 · outbound
This paper cites Bricmont and A.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Bricmont and A
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:41.212787Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 69672475-7892-4408-bb5a-beed6cc4dd13 · outbound
This paper cites Buckmaster, G.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Buckmaster, G
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:41.200537Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bce2ea71-4780-40bd-b28f-0f25f32beb9f · outbound
This paper cites Existence of finite time blow-up in Keller-Segel system.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Existence of finite time blow-up in Keller-Segel system
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T12:42:40.182154Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16869e25-cab5-4bec-a329-5ff468468dcd · outbound
This paper cites Non-radial implosion for compressible Euler and Navier-Stokes in $\mathbb{T}^3$ and $\mathbb{R}^3$.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Non-radial implosion for compressible Euler and Navier-Stokes in $\mathbb{T}^3$ and $\mathbb{R}^3$
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T12:42:40.185874Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d03f8f88-0b27-4176-8ce6-9384e98991f1 · outbound
This paper cites Non-radial implosion for the defocusing nonlinear Schr\"odinger equation in $\mathbb{T}^d$ and $\mathbb{R}^d$.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Non-radial implosion for the defocusing nonlinear Schr\"odinger equation in $\mathbb{T}^d$ and $\mathbb{R}^d$
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T12:42:40.189593Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ed7fda4c-4e64-4bc4-a264-d08dbce37a21 · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:42:41.189172Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 92933c5f-3800-4af0-b938-70fad740b2e1 · outbound
This paper cites Vorticity blowup in compressible Euler equations in $\mathbb{R}^d, d \geq 3$.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Vorticity blowup in compressible Euler equations in $\mathbb{R}^d, d \geq 3$
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T12:42:40.196457Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e67abeb4-b230-4b05-8398-3cff4e8e9357 · outbound
This paper cites Vorticity blowup in 2D compressible Euler equations.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Vorticity blowup in 2D compressible Euler equations
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T12:42:40.200517Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db6ad66b-0041-4fee-a693-5a698db7f85c · outbound
This paper cites Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T12:42:40.204208Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db59c679-cada-4908-9c56-9789d9185408 · outbound
This paper cites Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data II: Rigorous Numerics.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data II: Rigorous Numerics
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T12:42:40.208010Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5e0ea51b-6c8e-4435-a329-3ecb51763155 · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:42:41.177785Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6f3a0d0f-5b9f-439e-a85e-d7f048301c58 · outbound
This paper cites On the stability of blowup solutions to the complex Ginzburg-Landau equation in R^d.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions On the stability of blowup solutions to the complex Ginzburg-Landau equation in R^d
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T12:42:40.215510Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation da6234c2-ce36-4dc2-a9d8-3cbd40caa88c · outbound
This paper cites Collot, T.-E.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Collot, T.-E
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:41.166450Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 63bdb3a0-6613-4177-9786-c32d4e0ab0f9 · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:42:41.154792Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a94f762e-ce95-4089-8c60-1cec165498c6 · outbound
This paper cites Singularity formed by the collision of two collapsing solitons in interaction for the 2D Keller-Segel system.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Singularity formed by the collision of two collapsing solitons in interaction for the 2D Keller-Segel system
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T12:42:40.226781Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e376008d-2871-45cf-8f2b-95db15b4da35 · outbound
This paper cites Collot, P.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Collot, P
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:41.143429Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7d9d7e09-01f3-4790-82f6-afe804a8dee4 · outbound
This paper cites Corrias, B.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Corrias, B
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:41.131248Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9d4fbaf3-a045-4d8a-ad58-91ea2bbfdd7e · outbound
This paper cites Dolbeault and B.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Dolbeault and B
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:41.119575Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2bde7605-e422-44a1-bd29-276940137fd0 · outbound
This paper cites Donninger and B.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Donninger and B
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:41.107270Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bcfb33c8-17be-490e-8ec0-bdfc7e993696 · outbound
This paper cites Elgindi, Finite-time singularity formation forC1,α solutions to the incompressible Euler equations on R3, Ann.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Elgindi, Finite-time singularity formation forC1,α solutions to the incompressible Euler equations on R3, Ann
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:41.094448Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 964cf27d-e353-4ab8-a7db-4ed394568e0b · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:42:41.082190Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 33ff0b5d-204c-4677-8ebd-6da549f10f79 · outbound
This paper cites Engel and R.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Engel and R
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:41.070005Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1137a08a-0453-4887-b5d3-1ab68edd5a93 · outbound
This paper cites Fuest, Approaching optimality in blow-up results for Keller-Segel systems with logistic- type dampening, NoDEA Nonlinear Differential Equations Appl., 28 (2021), pp.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Fuest, Approaching optimality in blow-up results for Keller-Segel systems with logistic- type dampening, NoDEA Nonlinear Differential Equations Appl., 28 (2021), pp
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:41.057677Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1ec9a2a1-6d91-4fbe-a937-c062043439c6 · outbound
This paper cites Glogić and B.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Glogić and B
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:41.045921Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 97e9e247-08b0-4e9b-bb67-7bbe92ce6b9f · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:42:41.033547Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f985edbd-e43e-49a9-a055-2bd8caed0ffa · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:42:41.021083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c4b31e81-81b5-4877-8054-1407582bbf59 · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:42:41.007621Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8f4feb81-1cd7-4f52-8eaf-16bf340feed5 · outbound
This paper cites Hillen and K.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Hillen and K
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.994849Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f6257452-f700-444d-8322-5c60cfaf4b03 · outbound
This paper cites Horstmann, From 1970 until present: the Keller-Segel model in chemotaxis and its con- sequences.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Horstmann, From 1970 until present: the Keller-Segel model in chemotaxis and its con- sequences
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.983085Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 74b6b017-c2c5-436e-bd83-6cea2386fd1a · outbound
This paper cites II, Jahresber.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions II, Jahresber
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.970225Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3cc7b2de-8c7a-4a91-b654-9301ed5f7900 · outbound
This paper cites Axisymmetric type II blowup solutions to the three-dimensional Keller-Segel system.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Axisymmetric type II blowup solutions to the three-dimensional Keller-Segel system
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T12:42:40.283401Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1132a179-0485-4f54-b796-4bef0aee7a42 · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T12:42:40.286989Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b685b5f3-5252-4bc7-9995-ff74edaffafb · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:42:40.958480Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b949afd9-1f5e-4b8a-997d-5c0e105973e0 · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:42:40.946317Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d88d78e4-b437-48a0-b754-2a639a4b2718 · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:42:40.933647Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 243a9a2b-575e-4085-b206-1560a2704002 · outbound
This paper cites Jia and V.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Jia and V
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.922207Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 927e5d68-09bb-430c-b145-aaf0c689b702 · outbound
This paper cites Kang and A.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Kang and A
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.910875Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation fa8c6699-9eb6-4fa6-948f-ef68365897ee · outbound
This paper cites Self-similar blow up for energy supercritical semilinear wave equation.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Self-similar blow up for energy supercritical semilinear wave equation
Reference 42
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T12:42:40.308718Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f66bf8f8-6b01-46d4-a084-e055792aae46 · outbound
This paper cites Li, Mode stability for self-similar blowup ofL2 slightly supercritical NLS, in preparation.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Li, Mode stability for self-similar blowup ofL2 slightly supercritical NLS, in preparation
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.898892Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d376b140-a11d-40c7-87a8-2b010f19692a · outbound
This paper cites Finite-time blowup for Keller-Segel-Navier-Stokes system in three dimensions.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Finite-time blowup for Keller-Segel-Navier-Stokes system in three dimensions
Reference 44
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T12:42:40.317404Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 124fe655-6fba-4ed0-91ce-6873379f42d2 · outbound
This paper cites Nonradial stability of self-similar blowup to Keller-Segel equation in three dimensions.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Nonradial stability of self-similar blowup to Keller-Segel equation in three dimensions
Reference 45
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T12:42:40.320926Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 515e6aa4-6502-475b-b7a2-cf1ccb0affb9 · outbound
This paper cites Merle, P.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Merle, P
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.887510Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e22bfea0-4a6e-43c8-9919-90153f81b4bb · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 47
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:42:40.876188Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9a69222c-5d24-46d5-9874-54b6029ca959 · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 48
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:42:40.864850Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c1e75890-49e6-414d-af99-9e669165ecd7 · outbound
This paper cites Merle, P.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Merle, P
Reference 49
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.853380Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 68e255a4-f6e0-498d-8c20-8fdbcf6d9f28 · outbound
This paper cites Merle and H.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Merle and H
Reference 50
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.842212Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9b4cfd5e-4728-42e5-bfc2-de8118f68b48 · outbound
This paper cites Nagai, Blow-up of radially symmetric solutions to a chemotaxis system, Adv.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Nagai, Blow-up of radially symmetric solutions to a chemotaxis system, Adv
Reference 51
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.831070Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ed9b1878-01af-4e43-82a9-eee906935232 · outbound
This paper cites Korean Math.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Korean Math
Reference 52
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.819182Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0e5a3bca-191d-4516-a6af-1e7f7c0e9af7 · outbound
This paper cites Naito and T.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Naito and T
Reference 53
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.807564Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9eca22f8-b282-4a97-8a69-46badbf8e0cd · outbound
This paper cites Construction of type I-Log blowup for the Keller-Segel system in dimensions $3$ and $4$.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Construction of type I-Log blowup for the Keller-Segel system in dimensions $3$ and $4$
Reference 54
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T12:42:40.354259Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7861c4aa-faf0-4ab8-9bb5-fb9aa28fed35 · outbound
This paper cites Infinitely many self-similar blow-up profiles for the Keller-Segel system in dimensions 3 to 9.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Infinitely many self-similar blow-up profiles for the Keller-Segel system in dimensions 3 to 9
Reference 55
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T12:42:40.432535Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3aa3abff-33f7-4e06-a033-4461c0bdc094 · outbound
This paper cites Oga w a and H.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Oga w a and H
Reference 56
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.796263Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 64e2d379-926d-48af-8098-3d972f3bc709 · outbound
This paper cites Oh and F.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Oh and F
Reference 57
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.785065Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 63d44209-8cf0-43ba-abdc-97e253696ef5 · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 58
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:42:40.773953Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 21a32db2-e4c2-4e3b-a5fe-4245f107ff64 · outbound
This paper cites Raphaël and R.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Raphaël and R
Reference 59
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.762419Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c0fc40bf-6309-42b0-bd09-6c8db87a1749 · outbound
This paper cites Shigesada, K.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Shigesada, K
Reference 60
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.749410Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a039f554-9556-43ca-b9b9-5009672476da · outbound
This paper cites Souplet and M.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Souplet and M
Reference 61
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.737570Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation dca13c3a-2979-4115-80ec-977690c14652 · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 62
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:42:40.725587Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 67d6404d-2b5b-43ff-a52f-a459f4dca2c9 · outbound
This paper cites Winkler , Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction, J.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Winkler , Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction, J
Reference 63
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:42:40.713882Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4afd1396-84e9-4e71-8ea3-a86ecd4fda83 · outbound
This paper cites an unresolved cited work.
Finite time blowup for Keller-Segel equation with logistic damping in three dimensions Unresolved cited work
Reference 64
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:42:40.701940Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
Observation bb4e4aaa-91b2-4276-8f5c-1489497c2beb · inbound
Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches cites this paper.
Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches Finite time blowup for Keller-Segel equation with logistic damping in three dimensions
Reference 225
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T09:18:32.775814Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ea882393-e2ae-46c3-8255-5d05f2f9614a · inbound
Gradient blowup of smooth vacuum solutions to 1D compressible Euler equations cites this paper.
Gradient blowup of smooth vacuum solutions to 1D compressible Euler equations Finite time blowup for Keller-Segel equation with logistic damping in three dimensions
Reference 36
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T15:36:06.183956Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 132185c4-3686-4abd-a45b-e2f14c91e7a2 · inbound
The traveling wave solutions of the 1D hyperbolic Keller-Segel equations cites this paper.
The traveling wave solutions of the 1D hyperbolic Keller-Segel equations Finite time blowup for Keller-Segel equation with logistic damping in three dimensions
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T00:24:30.247613Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.