Global solvability to the high-dimensional inhomogeneous Boussinesq equations with zero thermal diffusion

DOI10.1007/s00033-020-01398-2zbMath1464.35266OpenAlexW3087132885MaRDI QIDQ2023298

Yanyan Li

Publication date: 3 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01398-2

zbMATH Keywords

vacuumglobal strong solutionBoussinesq equationsinhomogeneous

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Related Items

The zero limit of thermal diffusivity for the 2D density-dependent Boussinesq equations

Cites Work

• Unnamed Item
• Global well-posedness for 3D generalized Navier-Stokes-Boussinesq equations
• Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation
• A note on global well-posedness of solutions to Boussinesq equations with fractional dissipation
• Infinite Prandtl number convection
• Global well-posedness to the Cauchy problem of two-dimensional density-dependent Boussinesq equations with large initial data and vacuum
• On the global regularity of \(N\)-dimensional generalized Boussinesq system.
• Well-posedness for density-dependent Boussinesq equations without dissipation terms in Besov spaces
• Local existence and uniqueness of strong solutions to the Navier-Stokes equations with nonnegative density
• Global existence of strong solutions with vacuum to the multi-dimensional inhomogeneous incompressible MHD equations