The local existence of strong solution for the stochastic 3D Boussinesq equations

DOI10.1186/s13661-019-1158-4OpenAlexW2916907389WikidataQ128316274 ScholiaQ128316274MaRDI QIDQ2108247

Lihuai Du

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1158-4

zbMATH Keywords

strong solutionstochastic Boussinesq equationstopping time estimate

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (3)

On the well-posedness of stochastic Boussinesq equations with transport noise ⋮ On the Boussinesq system: local well-posedness of the strong solution and inviscid limits ⋮ The global existence and averaging theorem for the strong solution of the stochastic Boussinesq equations with the low Froude number

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global well-posedness for 3D generalized Navier-Stokes-Boussinesq equations
• A logarithmically improved regularity criterion of smooth solutions for the 3D Boussinesq equations
• Blow-up criteria for Boussinesq system and MHD system and Landau-Lifshitz equations in a bounded domain
• Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation
• Global well-posedness of the stochastic 2D Boussinesq equations with partial viscosity
• Global regularity results for the 2D Boussinesq equations with vertical dissipation
• The Bénard problem with random perturbations: Dissipativity and invariant measures
• Initial-boundary value problem for two-dimensional viscous Boussinesq equations
• Global well-posedness for a class of 2D Boussinesq systems with fractional dissipation
• Global regularity results for the 2D Boussinesq equations with partial dissipation
• Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces
• Large deviations for the Boussinesq equations under random influences
• A note on regularity criterion for the 3D Boussinesq system with partial viscosity
• Infinite Prandtl number convection
• The 2D Boussinesq equations with fractional horizontal dissipation and thermal diffusion
• Global well-posedness of the viscous Boussinesq equations
• Introduction to stochastic integration.
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Global martingale solution for the stochastic Boussinesq system with zero dissipation
• Local existence and blow-up criterion for the Boussinesq equations
• Global smooth solution to the 2D Boussinesq equations with fractional dissipation
• Stochastic Equations in Infinite Dimensions
• The Two-Dimensional Incompressible Boussinesq Equations with General Critical Dissipation
• Strong solutions of the stochastic Navier-Stokes equations in $R^3$
• Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation

This page was built for publication: The local existence of strong solution for the stochastic 3D Boussinesq equations