Global martingale solution for the stochastic Boussinesq system with zero dissipation

DOI10.1080/07362994.2016.1148615zbMath1342.35271OpenAlexW2335869825MaRDI QIDQ2814778

Kazuo Yamazaki

Publication date: 23 June 2016

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

Full work available at URL: https://doi.org/10.1080/07362994.2016.1148615

zbMATH Keywords

Navier-Stokes equationsBoussinesq systemmartingale solutionProkhorov's theoremSkorokhod's theorem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) A priori estimates in context of PDEs (35B45) de Rham theory in global analysis (58A12) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (14)

Non-uniqueness in law for the Boussinesq system forced by random noise ⋮ Weak martingale solution of stochastic critical Oldroyd-B type models perturbed by pure jump noise ⋮ Ergodicity of a Galerkin approximation of three-dimensional magnetohydrodynamics system forced by a degenerate noise ⋮ Strong solutions of stochastic models for viscoelastic flows of Oldroyd type ⋮ Invariant measure of stochastic Boussinesq equation with zero viscosity in Banach space ⋮ Gibbsian dynamics and ergodicity of magnetohydrodynamics and related systems forced by random noise ⋮ Weak solutions and invariant measures of stochastic Oldroyd-B type model driven by jump noise ⋮ Boussinesq system with partial viscous diffusion or partial thermal diffusion forced by a random noise ⋮ Local and global existence of pathwise solution for the stochastic Boussinesq equations with multiplicative noises ⋮ On the well-posedness of stochastic Boussinesq equations with transport noise ⋮ Well-posedness of Hall-magnetohydrodynamics system forced by Lévy noise ⋮ Asymptotic properties of the 2D stochastic fractional Boussinesq equations driven by degenerate noise ⋮ Well-posedness of the stochastic Boussinesq equation driven by Levy processes ⋮ The local existence of strong solution for the stochastic 3D Boussinesq equations

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