Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T17:03:36.442197Z
Paper Citation Record · LEDGER
As of 22 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2508.18745.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T17:03:36.442197Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
44 of 44 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d219d3d0-f03c-4efa-994b-9b13f2758a64 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Arnold, Random Dynamical Systems, Springer-Verlag, Berlin, 1998
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5a0dcf94-5599-4fbe-a234-5d91f34a573f · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Brze ´zniak, T
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0835f4fc-02e2-4cbb-a114-6066190dfaa9 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Brze ´zniak, B
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 89f242f9-5921-4f3a-bf5a-31fd0f0fdb1a · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Brze ´zniak, B
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 916814ba-32d6-47e6-a404-d7e50aaa69d3 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Brze ´zniak, Y .H
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 16e1f3bf-7683-4954-9156-9541f0525871 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 990be251-ce87-4334-9b01-4da7d186d61d · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Bollettino della Unione Matematica Italiana
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation edc845be-3c3d-4528-863f-7a60fb64147f · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Constantin, C
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 52e8c4d0-735f-4ce0-a24a-ddff17d84fb0 · outbound
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a4ee0d83-6f83-496a-9173-91d893e36e19 · outbound
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e5136612-4688-4ecf-b9bf-f0c92d4baefc · outbound
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 69b2673d-4a44-4177-927d-0207056526fc · outbound
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e309ac21-b637-47d6-8363-dcb5bdc43a5b · outbound
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3f40dac2-448c-4984-b08e-95152f882ddd · outbound
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 85313801-40cb-414f-b8ed-cfbb9e0a154b · outbound
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 246d70e2-675f-4624-b2a8-2102bf7004c9 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Dong, Random attractors for stochastic Navier-Stokes equation on a 2D rotating sphere with stable L´evy noise, Discrete Contin
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 99b124f4-520f-4d80-9ff4-23f97434a4a8 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Garc ´ıa-Luengo, P
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e62312ff-a05d-4178-a516-634a188f0b41 · outbound
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f7af7271-804d-4852-916f-10fb9c8f5456 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Ju, The H1-compact global attractor for the solutions to the Navier-Stokes equations in two- dimensional unbounded domains, Nonlinearity, 13 (2000), 1227-1238
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 38131520-454b-4619-82c7-99a28840defa · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Lady ˘zenskaja, Solution ”in the large” of the nonstationary boundary value problem for the Navier-Stokes system with two space variables, Comm
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 404905ea-6f1a-424a-81d6-c0b95a12eb6d · outbound
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1a4f9212-d476-4279-8801-6207b4b954bf · outbound
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation cd7fb28e-042c-48fd-ad78-cd839ce47390 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Li, Uniform random attractors for 2D non-autonomous stochastic Navier-Stokes equations , J
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 67f51e56-35d4-4abe-a7fa-347c10558b8c · outbound
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 006c108d-1233-4149-9f75-89b7d82abdf0 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Liu, Instability for the Navier-Stokes equations on the 2-dimensional torus and a lower bound for the Hausdorff dimension of their global attractors, Comm
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 982e8d0e-845e-4b4b-a9d7-d82a14eea76f · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Liu,A sharp lower bound for the Hausdorff dimension of the global attractors of the 2D Navier- Stokes equations, Comm
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation cc4627e7-4919-4f17-8a1d-3cfa4631a504 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 89dac4c2-5b8d-405c-9a43-aa70e8e47899 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Łukaszewicz, Pullback attractors and statistical solutions for 2-D Navier-Stokes equations , Dis- crete Contin
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f8a2b62e-c955-48fe-85fd-eedbd1a1f1a3 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Mohammed, T.S
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6fa11d82-4916-49cd-8259-ea92250ab41a · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Rosa, The global attractor for the 2D Navier-Stokes flow on some unbounded domains , Nonlinear Anal., 32 (1998), 71-85
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 363168e2-7e78-49e6-b0f7-b016338da35e · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Robinson, Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors, vol
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 33ad9149-de4d-4e6f-bb5d-c9f46a3c842c · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Robinson, Dimensions, Embeddings, and Attractors, Cambridge University Press, 2011
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 62fd8fc3-1187-4e17-a9a9-fe0a23ea7174 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Robinson, Attractors and Finite-Dimensional Behaviour in the 2D Navier-Stokes Equations , ISRN Mathematical Analysis 2013, Article ID 291823, 29 pages
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation dd7ae12e-5e19-40b3-bc5e-54338de90368 · outbound
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 456cf55d-8e48-43a5-b8c2-8b1f1d9853e0 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Sun, Asymptotic regularity for some dissipative equations , J
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 434879b3-760d-4575-99b3-d834573cb749 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Temam, Infinite-dimensional dynamical systems in mechanics and physics
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6c5fa092-9cd4-4668-8f38-6bd3f89f284d · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Temam, Navier-Stokes Equations: Theory and Numerical Analysis, vol
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation dce31003-defb-42f9-b34d-a53e5195dda5 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Wang, Periodic random attractors for stochastic Navier-Stokes equations on unbounded do- mains, Electron
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1adacd68-46db-4ce7-8be8-5304486e9822 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Wang, Uniform tail-ends estimates of the Navier-Stokes equations on unbounded channel-like domains, Proc
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 07945a15-4224-4282-b8a8-7a6a17aac717 · outbound
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e35dfd69-3561-4163-b13f-0bf31a599b94 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation fbea8d1b-29e4-4e55-b55c-24686f41eef2 · outbound
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6fca62ba-c71c-4da4-af14-e5d583279958 · outbound
$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 38427453-c0a8-49bd-ad62-999c97c64682 · outbound
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
No inbound Pith citation observations are available.