On the Cauchy Problem for Stochastic Stokes Equations

DOI10.1137/S0036141001390312zbMath1015.60054OpenAlexW2000315008MaRDI QIDQ4785727

Remigijus Mikulevičius

Publication date: 5 January 2003

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141001390312

zbMATH Keywords

existenceuniquenessCauchy problemstochastic partial differential equationsunbounded domainsStokes equation

Mathematics Subject Classification ID

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

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Layer methods for stochastic Navier-Stokes equations using simplest characteristics ⋮ Error estimates of finite element methods for fractional stochastic Navier-Stokes equations ⋮ On unbiased stochastic Navier-Stokes equations ⋮ On the Navier-Stokes equation perturbed by rough transport noise ⋮ Temporal regularity of symmetric stochastic \(p\)-Stokes systems ⋮ Stochastic Navier-Stokes equations for turbulent flows in critical spaces ⋮ On a rough perturbation of the Navier-Stokes system and its vorticity formulation ⋮ Global \(L_2\)-solutions of stochastic Navier-Stokes equations ⋮ Random dynamical system generated by the 3D Navier-Stokes equation with rough transport noise

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