Local and global strong solutions to the stochastic incompressible Navier-Stokes equations in critical Besov space

DOI10.1016/j.jmaa.2019.123472zbMath1428.35283arXiv1710.11336OpenAlexW2971808009MaRDI QIDQ2325994

Lihuai Du, Ting Zhang

Publication date: 4 October 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.11336

zbMATH Keywords

critical Besov spacelocal and global strong solutionstochastic incompressible Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) PDEs with randomness, stochastic partial differential equations (35R60) Strong solutions to PDEs (35D35)

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Stochastic Navier-Stokes equations for turbulent flows in critical spaces ⋮ Global existence and analyticity of mild solutions for the stochastic Navier-Stokes-Coriolis equations in Besov spaces ⋮ Well-posedness for stochastic fractional Navier-Stokes equation in the critical Fourier-Besov space

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