Paper Citation Record · LEDGER

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data

As of 9 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.05158.

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

pith.paper-citation-record.v1
2607.05158 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T07:53:50.227995Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

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Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

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

Source: cited_works

Reference resolution

29 of 29 outbound references displayed

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External citation measurements

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Outbound references

Observation 196195a2-31a0-45d3-96cc-d24a5547a386 · outbound

This paper cites Benachour, G.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Benachour, G

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

Source-reported events for the cited work

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Observation e34cc93e-df1a-42a3-9684-6b8b55e33f34 · outbound

This paper cites Benachour, G.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Benachour, G

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation 3916f4b3-582e-461e-acf4-36c209e5c870 · outbound

This paper cites Carpio,Large time behaviour in convection-diffusion equations, Ann.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Carpio,Large time behaviour in convection-diffusion equations, Ann

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation 101c35f2-2ad0-4d1f-8a20-54d50121c149 · outbound

This paper cites Carpio,Large-time behavior in incompressible Navier–Stokes equations, SIAM J.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Carpio,Large-time behavior in incompressible Navier–Stokes equations, SIAM J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation 3ab18635-80ab-49ea-a1f9-a85677803398 · outbound

This paper cites an unresolved cited work.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation 82ca5fac-908e-4ade-bba5-40c05fe69ec0 · outbound

This paper cites Duoandikoetxea and E.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Duoandikoetxea and E

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation 30d7a8bd-a37f-41e3-afa6-4793f2184244 · outbound

This paper cites Duro and A.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Duro and A

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation e452457f-7746-4664-9d20-8a8d7e53d70b · outbound

This paper cites Duro and E.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Duro and E

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation a398d378-817d-49d1-99c5-ac564e31480f · outbound

This paper cites Escobedo, J.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Escobedo, J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation cc53d609-0003-4563-b3ec-05f5a570693f · outbound

This paper cites Escobedo, J.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Escobedo, J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation fcc258ab-8325-4059-be7a-d6a79d26f39c · outbound

This paper cites Escobedo and E.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Escobedo and E

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation 4bbef7de-2bc2-410f-9bdc-4e55a1c20dd1 · outbound

This paper cites Fujigaki and T.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Fujigaki and T

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation 7423f072-6d1e-4b97-a2b1-b11a8786a122 · outbound

This paper cites Fukuda,Asymptotic profiles of solutions for the generalized Fornberg–Whitham equation with dissipation, J.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Fukuda,Asymptotic profiles of solutions for the generalized Fornberg–Whitham equation with dissipation, J

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation 5f58482c-76e9-46cf-944e-f98ca600829f · outbound

This paper cites Fukuda and Y.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Fukuda and Y

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation bda52ece-c145-4bd8-acb5-f057cc3274c5 · outbound

This paper cites Higher-order asymptotic profiles of solutions to the Cauchy problem for the convection-diffusion equation with variable diffusion.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Higher-order asymptotic profiles of solutions to the Cauchy problem for the convection-diffusion equation with variable diffusion

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation 1968b820-948a-4cf8-993e-e3a7a2387035 · outbound

This paper cites Nonlinear Partial Differential Equations.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Nonlinear Partial Differential Equations

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation 9c1d0512-950e-4f62-bcc2-3120675d7149 · outbound

This paper cites Ishige and T.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Ishige and T

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation 858ef05c-946e-498b-a999-96eadc149bf3 · outbound

This paper cites Karch,Large-time behaviour of solutions to non-linear wave equations: higher-order asymptotics, Math.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Karch,Large-time behaviour of solutions to non-linear wave equations: higher-order asymptotics, Math

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

Source-reported events for the cited work

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Observation 090544b4-051c-44a7-aed6-3dd72d40f0c3 · outbound

This paper cites Karch and M.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Karch and M

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation eb3a7fae-33bb-4b15-b36a-f1099929b0da · outbound

This paper cites Kusaba,Higher order asymptotic expansions for the convection-diffusion equation in the Fujita-subcritical case, Nonlinear Anal.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Kusaba,Higher order asymptotic expansions for the convection-diffusion equation in the Fujita-subcritical case, Nonlinear Anal

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80df3526-2b56-4d68-a76c-bd4c3102075c · outbound

This paper cites Miyakawa,Hardy spaces of solenoidal vector fields, with applications to the Navier– Stokes equations, Kyushu J.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Miyakawa,Hardy spaces of solenoidal vector fields, with applications to the Navier– Stokes equations, Kyushu J

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

Source-reported events for the cited work

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Observation 973e4976-4957-4803-9c3c-0395b9ecbd3c · outbound

This paper cites Miyakawa and M.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Miyakawa and M

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

Source-reported events for the cited work

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Observation 0253a4ec-53f3-4f00-affc-35dfdcd09cf2 · outbound

This paper cites an unresolved cited work.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation d0607612-09e1-4be2-bb02-6c9a562966e2 · outbound

This paper cites Yamamoto,Time evolution of the Navier–Stokes flow in far-field, J.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Yamamoto,Time evolution of the Navier–Stokes flow in far-field, J

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Unavailable: canonical work link unavailable.

Observation c778c0d0-02d5-4de0-90a1-9a6f9dce3a11 · outbound

This paper cites Yamamoto,Parabolic-scalings on large-time behavior of the incompressible Navier– Stokes flow, Nonlinear Anal.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Yamamoto,Parabolic-scalings on large-time behavior of the incompressible Navier– Stokes flow, Nonlinear Anal

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Unavailable: canonical work link unavailable.

Observation 3f1ff29e-5041-4712-bd0f-5baf24c0ac03 · outbound

This paper cites Yamamoto,Nonlinear distortion of symmetry in solutions to the convection-diffusion equation of Burgers type, arXiv:2509.21909.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Yamamoto,Nonlinear distortion of symmetry in solutions to the convection-diffusion equation of Burgers type, arXiv:2509.21909

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Unavailable: canonical work link unavailable.

Observation e6dd7f32-bc85-4089-8a5d-797114710c62 · outbound

This paper cites Zuazua,Weakly nonlinear large time behavior in scalar convection-diffusion equations, Differential Integral Equations,6(1993), no.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Zuazua,Weakly nonlinear large time behavior in scalar convection-diffusion equations, Differential Integral Equations,6(1993), no

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Observation ea0332c2-5059-4526-a3c1-17066dfc3072 · outbound

This paper cites Zuazua,A dynamical system approach to the self-similar large time behavior in scalar convection-diffusion equations, J.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Zuazua,A dynamical system approach to the self-similar large time behavior in scalar convection-diffusion equations, J

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddc6b375-f9e5-456e-be46-4716bd07424d · outbound

This paper cites Asymptotic behavior of scalar convection-diffusion equations.

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data Asymptotic behavior of scalar convection-diffusion equations

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-11T07:53:50.227995Z

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Pith citing papers

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