Local and global existence of pathwise solution for the stochastic Boussinesq equations with multiplicative noises

DOI10.1016/j.spa.2019.05.011zbMath1448.60134OpenAlexW2946446578MaRDI QIDQ2301488

Lihuai Du, Ting Zhang

Publication date: 24 February 2020

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

Full work available at URL: https://doi.org/10.1016/j.spa.2019.05.011

zbMATH Keywords

global existencemultiplicative noisestochastic Boussinesq equationspathwise solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (3)

Global martingale and pathwise solutions and infinite regularity of invariant measures for a stochastic modified Swift–Hohenberg equation ⋮ Invariant measure of stochastic Boussinesq equation with zero viscosity in Banach space ⋮ The global existence and averaging theorem for the strong solution of the stochastic Boussinesq equations with the low Froude number

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