Remarks on the non-uniqueness in law of the Navier–Stokes equations up to the J.-L. Lions’ exponent-Reference-Cited by-同舟云学术

Remarks on the non-uniqueness in law of the Navier–Stokes equations up to the J.-L. Lions’ exponent

Published:2022-05 Issue: Volume:147 Page:226-269
ISSN:0304-4149
Container-title:Stochastic Processes and their Applications
language:en
Short-container-title:Stochastic Processes and their Applications

Author:

Yamazaki Kazuo^ORCID

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Reference50 articles.

1. Lévy Processes and Stochastic Calculus;Applebaum,2009

2. Global regularity for a slightly supercritical hyperdissipative Navier–Stokes system;Barbato;Anal. PDE,2014

3. Equations stochastiques du type Navier–Stokes;Bensoussan;J. Funct. Anal.,1973

4. The regularized 3D Boussinesq equations with fractional Laplacian and no diffusion;Bessaih;J. Differential Equations,2017

5. T. Buckmaster, M. Colombo, V. Vicol, Wild solutions of the Navier–Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1, arXiv:1809.00600 [math.AP].

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Global Existence, Uniqueness, and Non-negativity of the Solutions to Stochastic Partial Differential Equations of Infectious Diseases;La Matematica;2024-08-21

2. Local Nonuniqueness for Stochastic Transport Equations with Deterministic Drift;SIAM Journal on Mathematical Analysis;2024-07-19

3. Non-uniqueness in law of three-dimensional magnetohydrodynamics system forced by random noise;Potential Analysis;2024-04-13

4. Global-in-time probabilistically strong solutions to stochastic power-law equations: Existence and non-uniqueness;Stochastic Processes and their Applications;2023-10

5. Nonuniqueness in law of stochastic 3D Navier–Stokes equations;Journal of the European Mathematical Society;2023-06-12