Paper Citation Record · LEDGER

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions

As of 13 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2606.04785.

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pith.paper-citation-record.v1
2606.04785 v1

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measured 47 of 47 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-28T05:22:16.953238Z

measured 47 of 47 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

47 of 47 outbound references displayed

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unresolved45
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External citation measurements

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Outbound references

Observation e0934b10-7056-4545-9619-ae8d08677739 · outbound

This paper cites Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 28d41149-13da-415e-9820-4281ef7b3194 · outbound

This paper cites Global well-posedness and asymptotic behavior for the Euler- alignment system with pressure.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Global well-posedness and asymptotic behavior for the Euler- alignment system with pressure

Reference 2

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Observation aa0a93df-e3aa-4f79-a25b-531eeb40b29a · outbound

This paper cites Becerra, J.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Becerra, J

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation e14d1ba6-c1b5-4040-923d-c833da63cf91 · outbound

This paper cites Critical thresholds in one-dimensional damped Euler–Poisson systems.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Critical thresholds in one-dimensional damped Euler–Poisson systems

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 27046978-12a2-46a6-bb75-b92409b3c023 · outbound

This paper cites Critical thresholds in the Euler-Poisson-alignment system.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Critical thresholds in the Euler-Poisson-alignment system

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 4218be23-d7ab-42b5-9391-e1375e9f0be8 · outbound

This paper cites One-dimensional transport equations with discontinuous coefficients.Non- linear Analysis, 32(7):891, 1998.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions One-dimensional transport equations with discontinuous coefficients.Non- linear Analysis, 32(7):891, 1998

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 9189ee53-0806-45fe-a36d-cb48722838ac · outbound

This paper cites Sticky particle dynamics with interactions.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Sticky particle dynamics with interactions

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 7320a23a-182e-481d-b80a-83cccb2eae09 · outbound

This paper cites Sticky particles and scalar conservation laws.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Sticky particles and scalar conservation laws

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 1ebd7193-7bf0-4a87-b140-d5443c28ca15 · outbound

This paper cites Critical thresholds in 1D Euler equations with non-local forces.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Critical thresholds in 1D Euler equations with non-local forces

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 15c3b89f-171b-4f4e-9ef4-b3a221504c9a · outbound

This paper cites Equivalence of entropy solutions and gradient flows for pressureless 1D Euler systems.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Equivalence of entropy solutions and gradient flows for pressureless 1D Euler systems

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-07-02T09:46:50.380379Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bde303db-9208-41da-983e-24309ba1ef1a · outbound

This paper cites Existence of radial global smooth solutions to the pressureless Euler–Poisson equations with quadratic confinement.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Existence of radial global smooth solutions to the pressureless Euler–Poisson equations with quadratic confinement

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 7e135590-8efb-47f2-ba69-393e15486325 · outbound

This paper cites On the global classical solution to compressible Euler system with singular velocity alignment.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions On the global classical solution to compressible Euler system with singular velocity alignment

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 733b0e00-e5e1-4c6a-83f1-8075b5035b3c · outbound

This paper cites The global Cauchy problem for compressible Euler equations with a nonlocal dissipation.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions The global Cauchy problem for compressible Euler equations with a nonlocal dissipation

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 5823cc88-44c8-47a6-8f81-2a79bf33090b · outbound

This paper cites Critical thresholds in pressureless Euler–Poisson equations with background states.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Critical thresholds in pressureless Euler–Poisson equations with background states

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation b8add85d-d229-4d87-9289-fbe724d3b8e9 · outbound

This paper cites Emergent behavior in flocks.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Emergent behavior in flocks

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 041f7953-6cc0-47a6-b589-d5cf1e9049c5 · outbound

This paper cites Regular solutions to the fractional Euler alignment system in the Besov spaces framework.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Regular solutions to the fractional Euler alignment system in the Besov spaces framework

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 23aee474-a2fa-471c-8d04-c1f6458a9c42 · outbound

This paper cites Global regularity for the fractional Euler align- ment system.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Global regularity for the fractional Euler align- ment system

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 2ae399e1-736c-4221-b2b6-17ffd52a0385 · outbound

This paper cites Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation d380946a-da21-4926-8cc0-1aff489a5d46 · outbound

This paper cites Critical thresholds in Euler-Poisson equations.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Critical thresholds in Euler-Poisson equations

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 7dcb7b54-9e09-401d-9398-1933320ee9d4 · outbound

This paper cites The sticky particle dynamics of the 1D pressureless Euler-alignment system as a gradient flow.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions The sticky particle dynamics of the 1D pressureless Euler-alignment system as a gradient flow

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 816a20a3-15ca-4974-a955-a3643db53c0d · outbound

This paper cites Global regularity of two-dimensional flocking hydrodynamics.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Global regularity of two-dimensional flocking hydrodynamics

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 454501ee-15bc-41b3-a455-45fc454f447a · outbound

This paper cites Front tracking for hyperbolic conservation laws , volume 152.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Front tracking for hyperbolic conservation laws , volume 152

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation e47c192f-ba64-42ea-a9d8-85c3fa4340ef · outbound

This paper cites Global regularity for 1D Eulerian dynamics with singular interaction forces.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Global regularity for 1D Eulerian dynamics with singular interaction forces

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 04014e4a-ea18-4770-8275-162f99de3e7a · outbound

This paper cites Leslie, Roman Shvydkoy, and Eitan Tadmor.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Leslie, Roman Shvydkoy, and Eitan Tadmor

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation e71e7110-a3db-4fa7-bd30-1be68e821d7d · outbound

This paper cites Unidirectional flocks in hydrodynamic Euler alignment system II: singular models.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Unidirectional flocks in hydrodynamic Euler alignment system II: singular models

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation e0708745-e7e0-4f05-b325-8f86d7d84a0a · outbound

This paper cites Existence and stability of unidirectional flocks in hydrodynamic Euler align- ment systems.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Existence and stability of unidirectional flocks in hydrodynamic Euler align- ment systems

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 1e27c1ed-a543-4b83-9fc8-cffbb39b4769 · outbound

This paper cites Weak and strong solutions to the forced fractional Euler alignment system.Nonlinearity, 32(1):46, 2018.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Weak and strong solutions to the forced fractional Euler alignment system.Nonlinearity, 32(1):46, 2018

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 699e7c50-756e-409a-a49f-2c47c66895ab · outbound

This paper cites On the Lagrangian trajectories for the one-dimensional Euler alignment model without vacuum velocity.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions On the Lagrangian trajectories for the one-dimensional Euler alignment model without vacuum velocity

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 05f3e8bc-4584-492f-8a0e-a345fa340f91 · outbound

This paper cites Sticky particle Cucker-Smale dynamics and the entropic selection principle for the 1D Euler-alignment system.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Sticky particle Cucker-Smale dynamics and the entropic selection principle for the 1D Euler-alignment system

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation bfe368d8-821a-40d1-9009-8df179691794 · outbound

This paper cites Finite-and infinite-time cluster formation for alignment dynamics on the real line.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Finite-and infinite-time cluster formation for alignment dynamics on the real line

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 2afd8cad-ef76-4597-b3e1-0484ebad07d8 · outbound

This paper cites Global well-posedness and refined regularity criterion for the uni-directional Euler-alignment system.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Global well-posedness and refined regularity criterion for the uni-directional Euler-alignment system

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation c8352a60-67bc-497b-868d-ba72e584fe32 · outbound

This paper cites On the Euler-Poisson equations with variable background states and nonlocal velocity alignment.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions On the Euler-Poisson equations with variable background states and nonlocal velocity alignment

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-07-02T09:46:50.383270Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 72d41bf1-8ab1-4463-a887-666fb7ca67ed · outbound

This paper cites Pressureless Euler/Euler–Poisson systems via adhesion dynamics and scalar conservation laws.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Pressureless Euler/Euler–Poisson systems via adhesion dynamics and scalar conservation laws

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation f3ecf897-3be9-4860-b2db-415d4eff2bed · outbound

This paper cites One-dimensional pressureless gas systems with/without viscosity.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions One-dimensional pressureless gas systems with/without viscosity

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 94c0e162-a168-44e2-bec7-b864532c97b1 · outbound

This paper cites Dynamics and analysis of alignment models of collective behavior.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Dynamics and analysis of alignment models of collective behavior

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation f651fdf6-749f-4fe6-baf1-cd8c6b7e5938 · outbound

This paper cites Environmental averaging.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Environmental averaging

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 1419395b-178e-476e-abbb-f789cdbe7549 · outbound

This paper cites Eulerian dynamics with a commutator forcing.Transactions of Mathematics and its Applications , 1(1):tnx001, 2017.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Eulerian dynamics with a commutator forcing.Transactions of Mathematics and its Applications , 1(1):tnx001, 2017

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 48b6e59d-0af9-4998-9ac9-06afbf4ae3f0 · outbound

This paper cites Eulerian dynamics with a commutator forcing II: Flocking.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Eulerian dynamics with a commutator forcing II: Flocking

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation fc411afa-f679-4ee1-97e7-4a32a0feae90 · outbound

This paper cites Eulerian dynamics with a commutator forcing III.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Eulerian dynamics with a commutator forcing III

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation c70fb7ee-baa1-4384-b4cb-c65794e921bf · outbound

This paper cites On the mathematics of swarming: emergent behavior in alignment dynamics.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions On the mathematics of swarming: emergent behavior in alignment dynamics

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 361b2b32-8e8d-496b-ba1a-84942e269c1b · outbound

This paper cites Swarming: hydrodynamic alignment with pressure.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Swarming: hydrodynamic alignment with pressure

Reference 41

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Unavailable: canonical work link unavailable.

Observation e066a8d2-5faa-453b-96a8-8ab8c1efbe67 · outbound

This paper cites Critical thresholds in 2D restricted Euler-Poisson equations.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Critical thresholds in 2D restricted Euler-Poisson equations

Reference 42

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 1c9c51d9-d1e2-4a28-a39d-cff38b7c423f · outbound

This paper cites Critical thresholds in flocking hydrodynamics with non-local alignment.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Critical thresholds in flocking hydrodynamics with non-local alignment

Reference 43

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 8d028e33-679a-4b04-a9d6-d8e4b3facb1f · outbound

This paper cites On the global regularity of subcritical Euler–Poisson equations with pressure.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions On the global regularity of subcritical Euler–Poisson equations with pressure

Reference 44

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 41eb27b5-3b03-4b06-bd74-6f54a966dfa3 · outbound

This paper cites On the Euler-alignment system with weakly singular communication weights.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions On the Euler-alignment system with weakly singular communication weights

Reference 45

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Observation 54c0619d-851c-4b71-bede-252b7c674ab1 · outbound

This paper cites Eulerian dynamics in multidimensions with radial symmetry.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Eulerian dynamics in multidimensions with radial symmetry

Reference 46

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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Unavailable: canonical work link unavailable.

Observation 535d5f64-b7a4-4b56-aba6-ed875e425dce · outbound

This paper cites Critical thresholds in multi-dimensional Euler-Poisson equations with radial symmetry.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions Critical thresholds in multi-dimensional Euler-Poisson equations with radial symmetry

Reference 47

Resolution: unresolved; no resolver link, observed 2026-06-28T05:22:16.953238Z

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