Paper Citation Record · LEDGER

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions

As of 23 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:1908.01209.

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

pith.paper-citation-record.v1
1908.01209 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:33:59.660536Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

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

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

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verified fuzzy14
unresolved18
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f4795a95-b988-468d-bccf-d9735c3a7fbe · outbound

This paper cites Bahouri, J.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Bahouri, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:34:00.088499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9e8cce54-d41a-43bb-ab5f-556cbf4daa66 · outbound

This paper cites an unresolved cited work.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:34:00.068756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a5c38cce-fd21-4226-9c61-0218364e50ae · outbound

This paper cites an unresolved cited work.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:34:00.054666Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation af7ff647-3b0b-49cb-ad51-5440235f3589 · outbound

This paper cites Cannone, A generalization of a theorem by Kato on Navie r-Stokes equations, Rev.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Cannone, A generalization of a theorem by Kato on Navie r-Stokes equations, Rev

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:34:00.037355Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 56bb8018-5e31-47de-b688-25e50b21f476 · outbound

This paper cites Charve, R.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Charve, R

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:34:00.019098Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5c29f7db-d245-467b-8b07-f0019ab7be44 · outbound

This paper cites Chikami, R.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Chikami, R

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:34:00.003257Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 069f5e2c-69a2-443c-b067-a7199a426765 · outbound

This paper cites an unresolved cited work.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:33:59.989815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e109627f-6e30-4b1b-a05e-92ac6ee80ef1 · outbound

This paper cites an unresolved cited work.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:33:59.978732Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3d4b0783-d17f-4b3b-ae94-427b65c872e7 · outbound

This paper cites Chikami, T.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Chikami, T

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:33:59.967505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a8d98cad-b210-4ee5-800f-a46d58a5b3d9 · outbound

This paper cites Danchin, Global existence in critical spaces for com pressible Navier-Stokes equations, Invent.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Danchin, Global existence in critical spaces for com pressible Navier-Stokes equations, Invent

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:33:59.956227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1862ac95-2edd-41a7-bc24-8a08717c71c3 · outbound

This paper cites Danchin, Fourier Analysis Methods for the Compressible Navier-Stok es Equations , Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, ed s.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Danchin, Fourier Analysis Methods for the Compressible Navier-Stok es Equations , Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, ed s

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:33:59.945365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 66bae45c-0003-4826-b772-e9bac9e406d9 · outbound

This paper cites Danchin, J.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Danchin, J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:33:59.933552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5e19911f-6567-4c9f-b887-b02b17dcc3a9 · outbound

This paper cites Fujita, T.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Fujita, T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:33:59.922156Z

Source-reported events for the cited work

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Observation 85ac84ea-ad25-4e7f-a846-03d96bb80845 · outbound

This paper cites an unresolved cited work.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:33:59.910508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8d9a43a5-82ec-4a6c-bf5c-80a41f74f0a1 · outbound

This paper cites Haspot, Existence of global strong solutions in crit ical spaces for barotropic viscous ﬂuids, Arch.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Haspot, Existence of global strong solutions in crit ical spaces for barotropic viscous ﬂuids, Arch

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:33:59.898481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 495a10d9-daa7-49c5-8910-3e8825a6ae61 · outbound

This paper cites Hoﬀ, Global solutions of the Navier-Stokes equation s for multidimensional compressible ﬂow with discontinuous initial data, J.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Hoﬀ, Global solutions of the Navier-Stokes equation s for multidimensional compressible ﬂow with discontinuous initial data, J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:33:59.886142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9c533222-5c2d-4d35-95c6-5038d3bce77d · outbound

This paper cites an unresolved cited work.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:33:59.872772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8a343e4b-870f-40a5-a382-ece723b65344 · outbound

This paper cites Mitrinovi´ ec, J.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Mitrinovi´ ec, J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:33:59.861049Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2e3b7d30-f85d-488e-82d2-f3d13d77af96 · outbound

This paper cites Kozono, M.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Kozono, M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:33:59.850166Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1abe3b2d-cf0b-4737-ba20-7160409f8bcd · outbound

This paper cites an unresolved cited work.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:33:59.838517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 80f3d3e4-3b13-48f8-a785-6426d6af8a44 · outbound

This paper cites an unresolved cited work.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:33:59.827187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9f47e9db-24c1-4ee6-82c9-d621a5b678b2 · outbound

This paper cites an unresolved cited work.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:33:59.815976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation aff8f3bc-db17-4fba-b97a-de3c4c3d9539 · outbound

This paper cites Okita, Optimal decay rate for strong solutions in cri tical spaces to the compressible Navier- Stokes equations, J.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Okita, Optimal decay rate for strong solutions in cri tical spaces to the compressible Navier- Stokes equations, J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:33:59.803591Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 76e216ae-5ad7-4229-8e5e-a049837cddab · outbound

This paper cites an unresolved cited work.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:33:59.790147Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a99e2a57-6aef-4cbf-8aff-10d8ed7fe3a4 · outbound

This paper cites an unresolved cited work.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:33:59.778080Z

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Observation 19cd0d9a-3b7a-4295-8527-855d770f9ebe · outbound

This paper cites an unresolved cited work.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:33:59.764661Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8e86fe22-3c29-4e44-950f-1e2e75ecaed9 · outbound

This paper cites an unresolved cited work.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:33:59.752601Z

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Observation c87c7d0f-7a6f-40c5-aa59-79175e15b1d0 · outbound

This paper cites an unresolved cited work.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:33:59.739966Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6a1f88a9-7dde-4148-b5a5-95b491ca4481 · outbound

This paper cites an unresolved cited work.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:33:59.727070Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ea314742-154f-44e6-bc85-7f5028f4ec7c · outbound

This paper cites Xu, A low-frequency assumption for optimal time-dec ay estimates to the compressible Navier- tokes equations, Commun.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Xu, A low-frequency assumption for optimal time-dec ay estimates to the compressible Navier- tokes equations, Commun

Reference 30

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Observation 819345fa-9ebf-430d-867f-0eafa898a368 · outbound

This paper cites Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-14T15:33:59.656378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e54b6681-2242-468c-8b6e-c1e215265376 · outbound

This paper cites an unresolved cited work.

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:33:59.715259Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

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