Paper Citation Record · LEDGER

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects

As of 12 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2607.21742.

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pith.paper-citation-record.v1
2607.21742 v1

Coverage vector

measured 31 of 31 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T06:58:59.072400Z

measured 31 of 31 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

31 of 31 outbound references displayed

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Outbound references

Observation 74f0a7e2-ce9b-4bc3-a876-1914025dc808 · outbound

This paper cites Springer, 1995.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Springer, 1995

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:56.411157Z

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Observation d827fa84-01ad-430b-b19c-946a6b277f93 · outbound

This paper cites Double layer in ionic liquids: Overscreening versus crowding.Physical review letters, 106(4):046102, 2011.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Double layer in ionic liquids: Overscreening versus crowding.Physical review letters, 106(4):046102, 2011

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:56.553551Z

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Observation acd93431-ee08-4944-96f9-b0e01508d4ab · outbound

This paper cites Steric effects in electrolytes: A modified Poisson-Boltzmann equation.Physical review letters, 79(3):435, 1997.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Steric effects in electrolytes: A modified Poisson-Boltzmann equation.Physical review letters, 79(3):435, 1997

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:56.656016Z

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Observation ce574135-e3f9-456d-b18a-89296bb63f40 · outbound

This paper cites Springer, 2011.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Springer, 2011

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:56.783895Z

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Observation 86aec116-98c9-4258-ad3e-403dd7d3fd72 · outbound

This paper cites Compact families of piecewise constant functions in lp (0, t; b).Nonlinear Analysis: Theory, Methods & Applications, 75(6):3072–3077, 2012.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Compact families of piecewise constant functions in lp (0, t; b).Nonlinear Analysis: Theory, Methods & Applications, 75(6):3072–3077, 2012

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:56.857603Z

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Observation a14013dc-6021-4115-85fe-aab12e81b9e8 · outbound

This paper cites Ionic channels in biological membranes-electrostatic analysis of a natural nanotube.Contemporary Physics, 39(6):447–466, 1998.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Ionic channels in biological membranes-electrostatic analysis of a natural nanotube.Contemporary Physics, 39(6):447–466, 1998

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:56.965605Z

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Observation e14e2f97-4c17-4546-a426-ca9b79139f9f · outbound

This paper cites Energy variational analysis of ions in water and channels: Field theory for primitive models of complex ionic fluids.The Journal of Chemical Physics, 133(10), 2010.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Energy variational analysis of ions in water and channels: Field theory for primitive models of complex ionic fluids.The Journal of Chemical Physics, 133(10), 2010

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:57.045221Z

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Observation 490cf3fd-f592-4943-8bbe-390d97fa9186 · outbound

This paper cites Analysis of a degenerate parabolic cross- diffusion system for ion transport.Journal of Mathematical Analysis and Applications, 461(1):523–543, 2018.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Analysis of a degenerate parabolic cross- diffusion system for ion transport.Journal of Mathematical Analysis and Applications, 461(1):523–543, 2018

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:57.091081Z

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Observation c807ec46-e1e9-450b-af1d-b8232fe7089b · outbound

This paper cites Analysis of a Poisson-Nernst-Planck cross-diffusion system with steric effects.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Analysis of a Poisson-Nernst-Planck cross-diffusion system with steric effects

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:57.276143Z

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Observation 1c6c20e7-2cc6-491b-97f4-7ccb71da8789 · outbound

This paper cites PNP equations with steric effects: a model of ion flow through channels.The Journal of Physical Chemistry B, 116(37):11422–11441, 2012.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects PNP equations with steric effects: a model of ion flow through channels.The Journal of Physical Chemistry B, 116(37):11422–11441, 2012

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:57.444549Z

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Observation 8b6d4d20-e9a4-4ab2-a5e2-10633705049e · outbound

This paper cites Global existence of solutions for the Poisson–Nernst–Planck system with steric effects.Nonlinear Analysis: Real World Applications, 50:34–54, 2019.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Global existence of solutions for the Poisson–Nernst–Planck system with steric effects.Nonlinear Analysis: Real World Applications, 50:34–54, 2019

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:57.527850Z

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Observation 718986de-e8f8-4154-8b0c-c1a56e6c96c3 · outbound

This paper cites Transport of charged particles: entropy production and maximum dissipation principle.Journal of Mathematical Analysis and Applications, 422(1):309–336, 2015.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Transport of charged particles: entropy production and maximum dissipation principle.Journal of Mathematical Analysis and Applications, 422(1):309–336, 2015

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:57.599252Z

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Observation b612349a-3518-41df-a17f-6d09363c42aa · outbound

This paper cites Energy variational approach to study charge inversion (layering) near charged walls.Discrete Contin.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Energy variational approach to study charge inversion (layering) near charged walls.Discrete Contin

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:57.664131Z

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Observation 6ab00204-122a-429c-8fff-bc50f1ecc1ed · outbound

This paper cites Springer Science & Business Media, 2012.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Springer Science & Business Media, 2012

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:57.734155Z

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Observation 787c707e-c561-4443-aabd-725d7e779fba · outbound

This paper cites The boundedness-by-entropy method for cross-diffusion systems.Non- linearity, 28(6):1963–2001, 2015.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects The boundedness-by-entropy method for cross-diffusion systems.Non- linearity, 28(6):1963–2001, 2015

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:57.809149Z

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Observation 1299f947-6a90-48b7-8f50-8b20a5864363 · outbound

This paper cites an unresolved cited work.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:57.876401Z

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Observation edd33d45-6a89-4246-87e9-e744d5da85e9 · outbound

This paper cites Steric effects in the dynamics of electrolytes at large applied voltages.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Steric effects in the dynamics of electrolytes at large applied voltages

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:57.950880Z

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Observation 6f07565b-3936-448f-82be-7258ccdb8d7e · outbound

This paper cites Diffusing uphill with james clerk maxwell and josef stefan.Chem- ical Engineering Science, 195:851–880, 2019.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Diffusing uphill with james clerk maxwell and josef stefan.Chem- ical Engineering Science, 195:851–880, 2019

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:58.013966Z

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Observation 59bf81ea-3845-44c7-8b6a-0f2195ca16ca · outbound

This paper cites Poisson–Nernst–Planck systems for ion flow with a local hard-sphere potential for ion size effects.SIAM Journal on Applied Dynamical Systems, 12(3):1613–1648, 2013.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Poisson–Nernst–Planck systems for ion flow with a local hard-sphere potential for ion size effects.SIAM Journal on Applied Dynamical Systems, 12(3):1613–1648, 2013

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:58.102659Z

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Observation 0652253c-fae9-4647-b97e-9cbb878cfa4f · outbound

This paper cites A new approach to the Lennard-Jones potential and a new model: Pnp-steric equations.Commun.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects A new approach to the Lennard-Jones potential and a new model: Pnp-steric equations.Commun

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:58.238666Z

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Observation a1099b88-2775-4262-a7da-04a67f5eef3c · outbound

This paper cites Springer Science & Business Media, 2012.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Springer Science & Business Media, 2012

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:58.305654Z

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Observation 02bbe443-9ff1-45a7-a24d-627157f2becd · outbound

This paper cites Springer Science & Business Media, 2012.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Springer Science & Business Media, 2012

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:58.378671Z

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Observation 7df7691a-35c6-45b6-be40-3e7e269db6b4 · outbound

This paper cites Reciprocal relations in irreversible processes.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Reciprocal relations in irreversible processes

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:58.457046Z

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Observation 52d74be7-e24a-4020-899a-35d2917b8aab · outbound

This paper cites Reciprocal relations in irreversible processes.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Reciprocal relations in irreversible processes

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:58.543699Z

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Observation a50814cc-a87b-4b45-8525-229fe9dd11ae · outbound

This paper cites Birkh¨ auser, Cham, 2016.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Birkh¨ auser, Cham, 2016

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:58.635296Z

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Observation 6f50313a-c29a-453a-a9bc-4c2f74b6b177 · outbound

This paper cites SIAM, 1990.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects SIAM, 1990

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:58.700144Z

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Observation a0cff77b-801a-42c1-bc86-ac414e7c6fc3 · outbound

This paper cites Derivation of Poisson and Nernst- Planck equations in a bath and channel from a molecular model.Physical Review E, 64(3):036116, 2001.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Derivation of Poisson and Nernst- Planck equations in a bath and channel from a molecular model.Physical Review E, 64(3):036116, 2001

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:58.766221Z

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Observation 1068271f-cfcf-4793-a55e-2d8f0b5c8075 · outbound

This paper cites Compact sets in the spaceL p(0, T;B).Annali di Matematica Pura ed Applicata, 146:65–96, 1987.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Compact sets in the spaceL p(0, T;B).Annali di Matematica Pura ed Applicata, 146:65–96, 1987

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:58.860474Z

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Observation 22c6fd02-5975-4d9d-a70f-c4baecea7280 · outbound

This paper cites Springer, 1996.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Springer, 1996

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:58.939701Z

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Observation e5179c91-7f53-442a-ac6f-70918d64aca7 · outbound

This paper cites John Wiley & Sons, 1993.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects John Wiley & Sons, 1993

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:59.010292Z

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Observation 2e16544c-c09b-4130-a751-ba801a486996 · outbound

This paper cites Springer Science & Business Media, 2013.

Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects Springer Science & Business Media, 2013

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:59.072400Z

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