Strong solutions of the stochastic Navier-Stokes equations in $R^3$

DOI10.1512/IUMJ.2010.59.3930zbMath1226.35088OpenAlexW2051912300MaRDI QIDQ5892505

Jong Uhn Kim

Publication date: 23 May 2011

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/IUMJ/ABS/2010/3930

zbMATH Keywords

strong solutionsglobal solutionsstochastic Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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Global strong solution to the three-dimensional stochastic incompressible magnetohydrodynamic equations ⋮ Strong solutions to stochastic hydrodynamical systems with multiplicative noise of jump type ⋮ Local existence of strong solutions to the stochastic Navier-Stokes equations with \(L^p\) data ⋮ Martingale solutions for the three-dimensional stochastic nonhomogeneous incompressible Navier-Stokes equations driven by Lévy processes ⋮ Global existence and analyticity of mild solutions for the stochastic Navier-Stokes-Coriolis equations in Besov spaces ⋮ Local and global strong solutions to the stochastic incompressible Navier-Stokes equations in critical Besov space ⋮ The local existence of strong solution for the stochastic 3D Boussinesq equations

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