Local existence and uniqueness of strong solutions to 3-D stochastic Navier-Stokes equations

DOI10.1007/PL00001415zbMath0882.60055OpenAlexW2001871439MaRDI QIDQ1364597

Szymon Peszat, Capiński, Marek

Publication date: 2 March 1998

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001415

zbMATH Keywords

strong solutionstochastic Navier-Stokes equationmartingale solutionscylindrical Wiener process

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (13)

Global strong solution to the three-dimensional stochastic incompressible magnetohydrodynamic equations ⋮ On the zeroth law of turbulence for the stochastically forced Navier-Stokes equations ⋮ Local and global strong solution to the stochastic 3-D incompressible anisotropic Navier-Stokes equations ⋮ Stochastic hydrodynamic-type evolution equations driven by Lévy noise in 3D unbounded domains -- abstract framework and applications ⋮ Gibbsian dynamics and ergodicity of magnetohydrodynamics and related systems forced by random noise ⋮ Martingale solutions for the three-dimensional stochastic nonhomogeneous incompressible Navier-Stokes equations driven by Lévy processes ⋮ Gibbsian dynamics and ergodicity of stochastic micropolar fluid system ⋮ Boussinesq system with partial viscous diffusion or partial thermal diffusion forced by a random noise ⋮ Continuity of cost functional and optimal feedback controls for the stochastic Navier Stokes equation in 2D ⋮ Well-posedness of Hall-magnetohydrodynamics system forced by Lévy noise ⋮ Two examples on the property of the noise in the systems of equations of fluid mechanics ⋮ Local and global strong solutions to the stochastic incompressible Navier-Stokes equations in critical Besov space ⋮ Large deviations for the stochastic quasigeostrophic equation with multiplicative noise

This page was built for publication: Local existence and uniqueness of strong solutions to 3-D stochastic Navier-Stokes equations