Pith. sign in

REVIEW 1 cited by

Local existence of the stochastic Navier-Stokes equations in the whole space

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2301.12877 v1 pith:E22SQBSK submitted 2023-01-30 math.AP

Igor Kukavica , Fei Wang , Fanhui Xu This is my paper · ORCID
classification math.AP
keywords localnavier-stokesspacestochasticsystemwholeaddresscylindrical
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We address the local well-posedness for the stochastic Navier-Stokes system with multiplicative cylindrical noise in the whole space. More specifically, we prove that there exists a unique local strong solution to the system in $L^p(\mathbb{R}^3)$ for $p>3$.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data

    math.PR 2025-01 conditional novelty 6.0 of 10

    Small H^{1/2} initial data and small multiplicative noise give global-in-time stochastic Navier-Stokes solutions with probability arbitrarily close to 1 on the three-dimensional torus.

Pith tools