Paper Citation Record · LEDGER

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems

As of 11 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2501.06820.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.06820 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:59:24.018423Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:59:24.018423Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-10T20:59:24.065490Z

Reference resolution

36 of 36 outbound references displayed

verified exact1
verified fuzzy27
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e5df9f66-efb0-4384-834e-176ff478f9f2 · outbound

This paper cites V ariational reso lution of outﬂow boundary conditions for incompressible Navier-Stokes.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems V ariational reso lution of outﬂow boundary conditions for incompressible Navier-Stokes

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.794801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9a530934-82c2-4669-b0f1-c15615f1da72 · outbound

This paper cites On the existence of strong solutio ns to a coupled ﬂuid-structure evolution problem.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems On the existence of strong solutio ns to a coupled ﬂuid-structure evolution problem

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.776600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0be65635-c577-4c1e-822f-00ec94d0a393 · outbound

This paper cites Resonance and Periodic Solutions for Harmonic Oscillators with General Forcing.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Resonance and Periodic Solutions for Harmonic Oscillators with General Forcing

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T20:59:23.828110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d721d9b-ad9e-4056-9d70-675d060225b0 · outbound

This paper cites an unresolved cited work.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:59:24.754684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cc28c123-cc6e-48e8-bec2-909f36b057dd · outbound

This paper cites an unresolved cited work.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:59:24.734109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ed3e6725-162d-4231-9ac8-da1912b31337 · outbound

This paper cites Compressibl e ﬂuids interacting with a linear-elastic shell.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Compressibl e ﬂuids interacting with a linear-elastic shell

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.711971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4c08ed75-63b2-4f03-81fd-99dc92d946c5 · outbound

This paper cites Navier-Stok es-Fourier ﬂuids interacting with elastic shells.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Navier-Stok es-Fourier ﬂuids interacting with elastic shells

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.695326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 418b0406-c50e-447e-96a1-4d81047c3306 · outbound

This paper cites Moving boundary problems.Bulletin of the American Mathematical Society , 58(1):79–106, 2021.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Moving boundary problems.Bulletin of the American Mathematical Society , 58(1):79–106, 2021

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.678842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1c8b6ac3-d5e0-4d5a-9f13-dc30857bcfdb · outbound

This paper cites Existence of time-periodic st rong solutions to a ﬂuid-structure system.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Existence of time-periodic st rong solutions to a ﬂuid-structure system

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.662180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f6af8810-2f5d-4442-a4be-660a0e4898ae · outbound

This paper cites Existence of weak solutions for the unsteady interaction of a viscous ﬂuid with an elastic plate.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Existence of weak solutions for the unsteady interaction of a viscous ﬂuid with an elastic plate

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.647123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7a0880b6-f25b-4d78-972a-88c7cef93e79 · outbound

This paper cites The interaction of t he 3d navier–stokes equations with a moving nonlinear koiter elastic shell.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems The interaction of t he 3d navier–stokes equations with a moving nonlinear koiter elastic shell

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.629381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a66d15de-e34c-4603-82f5-a5dcad6c34dc · outbound

This paper cites an unresolved cited work.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:59:24.610139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a61cef05-7fe9-4592-842a-3d6859be020c · outbound

This paper cites Conca, F.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Conca, F

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.592777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2c5f31f5-05f7-4132-b1f3-439c0117face · outbound

This paper cites an unresolved cited work.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:59:24.575222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 458e5983-d36c-4f50-add5-0ac4c98cf4b9 · outbound

This paper cites Hyperbolic–parabolic coupling and the occurrence of resonance in partially dissipative systems.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Hyperbolic–parabolic coupling and the occurrence of resonance in partially dissipative systems

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.560555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e80966a3-4f68-4fb3-a298-c700f4788127 · outbound

This paper cites Fixed point theory.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Fixed point theory

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.543730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3dbf8c64-c3a0-4e18-96b5-99121d2c3393 · outbound

This paper cites Existence of weak solutions for the unsteady interaction of a viscous ﬂuid with an elastic plate.

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.526173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8fbde12b-39e3-4323-a5a3-1b8e85433b8d · outbound

This paper cites Existence of local strong solutions to ﬂuid–beam an d ﬂuid–rod interaction systems.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Existence of local strong solutions to ﬂuid–beam an d ﬂuid–rod interaction systems

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.508638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ba6d3732-c514-4602-9eb7-77b9f5293c07 · outbound

This paper cites Time periodic navier–stokes equations in a th in tube structure.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Time periodic navier–stokes equations in a th in tube structure

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.491081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 87acf195-906d-4f1e-8ee4-435ba5973025 · outbound

This paper cites On time-periodic solutions to an interaction problem between compressible viscous ﬂuids and viscoelast ic beams.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems On time-periodic solutions to an interaction problem between compressible viscous ﬂuids and viscoelast ic beams

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.474361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4c2562b4-76e0-4d7c-b0d0-11e06a0b90dc · outbound

This paper cites Weak solutions for an incompressible , generalized newtonian ﬂuid interacting with a linearly elastic koiter type shell.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Weak solutions for an incompressible , generalized newtonian ﬂuid interacting with a linearly elastic koiter type shell

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.457245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e45ca00d-8ad5-42e8-aaa5-87b1a1586116 · outbound

This paper cites Weak solutions for an incompressible , generalized Newtonian ﬂuid interacting with a linearly elastic Koiter type shell.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Weak solutions for an incompressible , generalized Newtonian ﬂuid interacting with a linearly elastic Koiter type shell

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.442421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c1cf238e-bf8d-4122-84f6-95025dcd1199 · outbound

This paper cites Weak solutions for an incompressible Newtonian ﬂuid interacting with a Koiter type shell.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Weak solutions for an incompressible Newtonian ﬂuid interacting with a Koiter type shell

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.425608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b0ff1f8e-3a97-4f26-b650-3002a81daf5e · outbound

This paper cites Existence of a weak solution to a nonlinear ﬂuid-structure interaction problem with heat ex change.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Existence of a weak solution to a nonlinear ﬂuid-structure interaction problem with heat ex change

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.404743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d4c5e265-cfd2-4a39-9ce3-965767616d10 · outbound

This paper cites Max imal-in-time existence and uniqueness of strong solution of a 3d ﬂuid-structure interaction model.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Max imal-in-time existence and uniqueness of strong solution of a 3d ﬂuid-structure interaction model

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.381775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0f0f32f8-cfea-4684-bbd4-c028050fb7ef · outbound

This paper cites Existence of strong solutions for a system of interaction between a compressible viscous ﬂuid and a wave equation.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Existence of strong solutions for a system of interaction between a compressible viscous ﬂuid and a wave equation

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.361380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a74962bc-e914-4b6a-b409-f35c11029f14 · outbound

This paper cites Time-periodic weak solutions for an incompressible Newtonian ﬂu id interacting with an elastic plate.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Time-periodic weak solutions for an incompressible Newtonian ﬂu id interacting with an elastic plate

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.341740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fb5cfd65-166b-4d1b-8248-091648e538b5 · outbound

This paper cites Time-periodic weak solutions for the interaction of an incompressible fluid with a linear Koiter type shell under dynamic pressure boundary conditions.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Time-periodic weak solutions for the interaction of an incompressible fluid with a linear Koiter type shell under dynamic pressure boundary conditions

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:59:24.217093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ff3e520a-ca2d-4132-a4f1-1a179b8417a1 · outbound

This paper cites Time-periodic solutions for hyperbolic-parabolic systems.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Time-periodic solutions for hyperbolic-parabolic systems

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-10T20:59:23.974619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92bbb50e-3596-44d6-b664-a759b96f13ab · outbound

This paper cites A note on the Trace Theorem for domains which are locally subgraph of a Holder continuous function.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems A note on the Trace Theorem for domains which are locally subgraph of a Holder continuous function

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T20:59:23.979676Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 804faa5f-02b3-4ef9-8277-a37353fc5cac · outbound

This paper cites Existence of a weak solut ion to a nonlinear ﬂuid-structure interaction problem modeling the ﬂow of an incompressible, viscous ﬂuid in a cyli nder with deformable walls.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Existence of a weak solut ion to a nonlinear ﬂuid-structure interaction problem modeling the ﬂow of an incompressible, viscous ﬂuid in a cyli nder with deformable walls

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.323254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 87ddbbf7-cb63-484a-8323-1fefe9ec3b37 · outbound

This paper cites Existence of a solution to a ﬂuid-multi-layered-st ructure interaction problem.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Existence of a solution to a ﬂuid-multi-layered-st ructure interaction problem

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.300783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 60a0d974-afe1-4c87-b72f-06d837cb10c0 · outbound

This paper cites Fluid-structure interaction between an incompres sible, viscous 3d ﬂuid and an elastic shell with nonlinear Koiter membrane energy.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Fluid-structure interaction between an incompres sible, viscous 3d ﬂuid and an elastic shell with nonlinear Koiter membrane energy

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.278848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1bcedbf6-60bc-4e66-a3fa-8e38dc76e5b9 · outbound

This paper cites Existence and r egularity of weak solutions for a ﬂuid interacting with a non-linear shell in three dimensions.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Existence and r egularity of weak solutions for a ﬂuid interacting with a non-linear shell in three dimensions

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.265022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ab20f2df-1b04-44ab-afdb-a89029f8c022 · outbound

This paper cites Multiscale Analysis of Viscous Flows in Thin Tube Structures.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Multiscale Analysis of Viscous Flows in Thin Tube Structures

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:24.250315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3c079111-7fca-4c08-a90a-8821fe53940a · outbound

This paper cites Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems.

Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems

Reference 36

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T20:59:24.074267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 3c079111-7fca-4c08-a90a-8821fe53940a · inbound