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Paper Citation Record · LEDGER

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model

As of 13 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2607.15408.

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pith.paper-citation-record.v1
2607.15408 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T23:33:46.925987Z

measured 49 of 49 standing notices

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

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

49 of 49 outbound references displayed

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External citation measurements

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Outbound references

Observation 22a98aea-d843-4faf-9528-ec9f1ac7d49d · outbound

This paper cites Godunov-type approximation for a general resonant balance law with large data.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Godunov-type approximation for a general resonant balance law with large data

Reference 1

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Observation 0b6641fc-5656-4445-856d-5b52d5046463 · outbound

This paper cites second order.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model second order

Reference 2

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Observation f1dbdc34-9b25-432d-b979-79173a22c9b4 · outbound

This paper cites The semigroup generated by a Temple class system with large data.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model The semigroup generated by a Temple class system with large data

Reference 3

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Observation 2430d25f-866a-433f-ba17-0dd613c627b3 · outbound

This paper cites Modeling multilane traffic with moving obstacles by nonlocal balance laws.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Modeling multilane traffic with moving obstacles by nonlocal balance laws

Reference 4

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Observation c58bcee7-7d46-4cb3-b137-7dadd056502f · outbound

This paper cites Well-posedness of a conservation law with non-local flux arising in traffic flow modeling.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Well-posedness of a conservation law with non-local flux arising in traffic flow modeling

Reference 5

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Observation fbb0e45a-f501-480d-8320-eaf82ea2179b · outbound

This paper cites Hyperbolic systems of conservation laws.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Hyperbolic systems of conservation laws

Reference 6

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Observation 4e5cf955-78fc-4081-9d6e-05657b1a2c74 · outbound

This paper cites Unique solutions to hyperbolic conservation laws with a strictly convex entropy.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Unique solutions to hyperbolic conservation laws with a strictly convex entropy

Reference 7

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Observation e1a1c294-842f-4d2a-8d50-7f4c7b125937 · outbound

This paper cites On traffic flow with nonlocal flux: A relaxation representation.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model On traffic flow with nonlocal flux: A relaxation representation

Reference 8

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Observation 859809ee-cbb1-427e-9f68-186dbb873047 · outbound

This paper cites Entropy admissibility of the limit solution for a nonlocal model of traffic flow.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Entropy admissibility of the limit solution for a nonlocal model of traffic flow

Reference 9

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Observation 4f85b9c4-b002-44c8-9c5e-bad428d62127 · outbound

This paper cites Uniqueness & weak-BV stability in the large for isothermal gas dynamics.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Uniqueness & weak-BV stability in the large for isothermal gas dynamics

Reference 10

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Observation d5813757-1022-48bb-a227-8a9f4bf4e45f · outbound

This paper cites Micro-macro limit of a nonlocal generalized Aw-Rascle type model.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Micro-macro limit of a nonlocal generalized Aw-Rascle type model

Reference 11

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Observation 60ebef11-3019-4a7a-9324-cf6237877312 · outbound

This paper cites A non-local traffic flow model for 1-to-1 junctions.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model A non-local traffic flow model for 1-to-1 junctions

Reference 12

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Observation 39ab3f16-15b5-4304-9373-c55e5fcf7721 · outbound

This paper cites Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel

Reference 13

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Observation 5b3876a2-1cf3-4d01-8545-e421ae128155 · outbound

This paper cites On the singular limit problem in nonlocal balance laws: Applications to nonlocal lane-changing traffic flow models.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model On the singular limit problem in nonlocal balance laws: Applications to nonlocal lane-changing traffic flow models

Reference 14

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Observation 748d63a5-f0ed-4dcf-99f1-9bd2b3c4fa13 · outbound

This paper cites Nonlocal conservation laws with p-norm, the sin- gular limit problem and applications to traffic flow.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Nonlocal conservation laws with p-norm, the sin- gular limit problem and applications to traffic flow

Reference 15

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Observation a7da1a6d-bd16-462a-97fc-c2e0ed13eb9f · outbound

This paper cites an unresolved cited work.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Unresolved cited work

Reference 16

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Observation a717fe8d-3b7b-491a-bbde-931356d79716 · outbound

This paper cites A general result on the ap- proximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model A general result on the ap- proximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels

Reference 17

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Observation 1ca36631-feca-4b9d-8469-e2d9fef9ea79 · outbound

This paper cites On a nonlocal regularization of a non-strictly hyperbolic system of conservation laws.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model On a nonlocal regularization of a non-strictly hyperbolic system of conservation laws

Reference 18

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Observation aee57c78-94e3-40df-b0e1-dbe0d9b6b836 · outbound

This paper cites Singular limit for a class of nonlocal conservation laws via compensated compactness.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Singular limit for a class of nonlocal conservation laws via compensated compactness

Reference 19

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Observation d5282e8e-608a-46c3-8455-2ecbe7355c1a · outbound

This paper cites Local limit of nonlocal traffic models: Convergence results and total variation blow-up.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Local limit of nonlocal traffic models: Convergence results and total variation blow-up

Reference 20

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Observation c2df7eea-b9f1-4945-a5a0-8ff2f7cc5a03 · outbound

This paper cites Nonlocal traffic models with general kernels: Singular limit, entropy admissibility, and convergence rate.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Nonlocal traffic models with general kernels: Singular limit, entropy admissibility, and convergence rate

Reference 21

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Observation 75b874d8-bf7f-4d8c-865d-9d65c5d8a8a8 · outbound

This paper cites Analysis of a conservation law modeling a highly re-entrant manufacturing system.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Analysis of a conservation law modeling a highly re-entrant manufacturing system

Reference 22

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Observation 95c563b1-7b41-4a9b-91e7-34f81c3da01a · outbound

This paper cites Hyperbolic conservation laws in continuum physics.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Hyperbolic conservation laws in continuum physics

Reference 23

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Observation a5b05c34-4219-48df-9819-90eb4dde2ab7 · outbound

This paper cites Generalized characteristics uniqueness and regularity of solutions in a hyperbolic system of conservation laws.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Generalized characteristics uniqueness and regularity of solutions in a hyperbolic system of conservation laws

Reference 24

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Observation f95a5ca7-4913-444a-b44f-d7b049cc20fc · outbound

This paper cites The Theory of Max-Min and its Application to Weapons Allocation Problems.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model The Theory of Max-Min and its Application to Weapons Allocation Problems

Reference 25

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Observation 8ff20e2f-31aa-4f68-8295-59dad9b3793e · outbound

This paper cites Comparative model accuracy of a data-fitted generalized Aw- Rascle-Zhang model.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Comparative model accuracy of a data-fitted generalized Aw- Rascle-Zhang model

Reference 26

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Observation 09699384-f1b9-41af-9c10-78535bbd428b · outbound

This paper cites Conservation laws with nonlocal velocity: The singular limit problem.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Conservation laws with nonlocal velocity: The singular limit problem

Reference 27

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Observation 6fe9850e-6e8c-4312-a62b-2c0219d7ad6b · outbound

This paper cites A Godunov type scheme for a class of L WR traffic flow models with non-local flux.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model A Godunov type scheme for a class of L WR traffic flow models with non-local flux

Reference 28

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Observation 5482b1c6-1e00-435a-b981-573c27cbe2a4 · outbound

This paper cites Well-posedness and finite volume approximations of the L WR traffic flow model with non-local velocity.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Well-posedness and finite volume approximations of the L WR traffic flow model with non-local velocity

Reference 29

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Observation 27124210-172f-4e7f-b011-eb3131e36017 · outbound

This paper cites On the Aw-Rascle-Zhang traffic models with nonlocal look-ahead interac- tions.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model On the Aw-Rascle-Zhang traffic models with nonlocal look-ahead interac- tions

Reference 30

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Observation b6d9b15e-ca78-488c-8c5a-fdd270c82769 · outbound

This paper cites Existence and uniqueness of solutions for some hyperbolic systems of conservation laws.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Existence and uniqueness of solutions for some hyperbolic systems of conservation laws

Reference 31

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Observation 97e1bcc1-47ce-4c70-83c1-75b93d548104 · outbound

This paper cites Composing functions of bounded variation.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Composing functions of bounded variation

Reference 32

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Observation 20a1df80-ad72-4c8c-b833-04976857f756 · outbound

This paper cites Existence, uniqueness and regularity results on nonlocal balance laws.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Existence, uniqueness and regularity results on nonlocal balance laws

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Observation 71030bd1-dc18-4f40-9d1d-da1ccbe1e68c · outbound

This paper cites On approximation of local conservation laws by nonlocal conservation laws.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model On approximation of local conservation laws by nonlocal conservation laws

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Observation 78e8e217-b85c-4eea-89a8-43a936c36143 · outbound

This paper cites Discontinuous nonlocal conservation laws and related discontinuous ODEs Existence, uniqueness, stability and regularity.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Discontinuous nonlocal conservation laws and related discontinuous ODEs Existence, uniqueness, stability and regularity

Reference 35

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Observation 86dad444-f873-4fa3-8137-b9386890cac6 · outbound

This paper cites On the singular limit problem for nonlocal conservation laws: A general approximation result for kernels with fixed support.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model On the singular limit problem for nonlocal conservation laws: A general approximation result for kernels with fixed support

Reference 36

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Observation 5b4833e8-5e03-4dbf-b1eb-83182f309321 · outbound

This paper cites Nonlocal Approximation Principle for Entropy Solutions of Scalar Conservation Laws.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Nonlocal Approximation Principle for Entropy Solutions of Scalar Conservation Laws

Reference 37

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Observation d4aa12f2-b9f4-45e4-8e78-c05484530933 · outbound

This paper cites A first course in Sobolev spaces.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model A first course in Sobolev spaces

Reference 38

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Observation 2b410778-ff3e-4fff-9122-7a6d6001c1a5 · outbound

This paper cites On kinematic waves.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model On kinematic waves

Reference 39

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Observation 2c59d8d3-859d-4975-9604-b14e3ae48c01 · outbound

This paper cites Nonlocal Generalized Aw-Rascle-Zhang model: well-posedness and singular limit.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Nonlocal Generalized Aw-Rascle-Zhang model: well-posedness and singular limit

Reference 40

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local_arxiv, observed 2026-08-01T23:39:38.444028Z

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Observation 5643d71a-6106-4236-891c-2d83f91435da · outbound

This paper cites Well-posedness results for the generalized Aw-Rascle-Zhang model.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Well-posedness results for the generalized Aw-Rascle-Zhang model

Reference 41

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Observation 54bcfc90-3de3-4441-94e9-321c1346425a · outbound

This paper cites Structural properties of the stability of jamitons, in: Mathematical descriptions of traffic flow: micro, macro and kinetic models.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Structural properties of the stability of jamitons, in: Mathematical descriptions of traffic flow: micro, macro and kinetic models

Reference 42

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Observation 0b140edc-16b4-459a-b1b7-8840dd0766a9 · outbound

This paper cites Shock waves on the highway.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Shock waves on the highway

Reference 43

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Observation d8d0ef6b-a031-43ad-ac3d-f07fbd540eb9 · outbound

This paper cites Systems of conservation laws with discontinuous fluxes and applications to traffic.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Systems of conservation laws with discontinuous fluxes and applications to traffic

Reference 44

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Observation c9d45bad-3017-4c50-8891-5ebd0d48452a · outbound

This paper cites Compact sets in the space Lp(0;T ;B).

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Compact sets in the space Lp(0;T ;B)

Reference 45

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Observation 1f406336-6537-4b6d-bd9e-ebe1ad565c97 · outbound

This paper cites Stochastic modeling and simulation of traffic flow: Asymmetric single exclusion process with Arrhenius look-ahead dynamics.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Stochastic modeling and simulation of traffic flow: Asymmetric single exclusion process with Arrhenius look-ahead dynamics

Reference 46

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Observation 1b1b412d-6ee3-41b6-830e-0a3c223e9c59 · outbound

This paper cites Systems of conservation laws with invariant submanifolds.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Systems of conservation laws with invariant submanifolds

Reference 47

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Observation 2c889f6f-60d2-45a9-b64b-3d3857ba6566 · outbound

This paper cites A non-equilibrium traffic model devoid of gas-like behavior.

Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model A non-equilibrium traffic model devoid of gas-like behavior

Reference 48

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Observation dabbc021-2f23-47c7-b04c-34531f89367f · outbound

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Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model Unresolved cited work

Reference 2024

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