The existence of energy solutions to 2-dimensional non-Lipschitz stochastic Navier-Stokes equations in unbounded domains

DOI10.1016/j.jde.2011.07.029zbMath1227.60086OpenAlexW1992918790MaRDI QIDQ641008

Takeshi Taniguchi

Publication date: 21 October 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.07.029

zbMATH Keywords

weak energy solutionsnon-Lipschitz Navier-Stokes equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (7)

Global strong solution to the three-dimensional stochastic incompressible magnetohydrodynamic equations ⋮ The non-Lipschitz stochastic Cahn–Hilliard–Navier–Stokes equations in two space dimensions ⋮ Stochastic Navier-Stokes equations with Caputo derivative driven by fractional noises ⋮ Martingale solutions for the three-dimensional stochastic nonhomogeneous incompressible Navier-Stokes equations driven by Lévy processes ⋮ The existence and decay estimates of the solutions to 3D stochastic Navier-Stokes equations with additive noise in an exterior domain ⋮ Global existence of a weak solution to 3d stochastic Navier-Stokes equations in an exterior domain ⋮ Local and global strong solutions to the stochastic incompressible Navier-Stokes equations in critical Besov space

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