Global well-posedness for the 2D Boussinesq equations with partial temperature-dependent dissipative terms

DOI10.1016/j.jmaa.2018.05.069zbMath1394.35379OpenAlexW2805482541WikidataQ129738645 ScholiaQ129738645MaRDI QIDQ1645130

Ning Zhu, Xiaojing Xu

Publication date: 28 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.05.069

zbMATH Keywords

Boussinesq equationsglobal well-posednesstemperature-dependent viscosityanisotropic

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Waves for incompressible viscous fluids (76D33) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

On the striated regularity for the 2D anisotropic Boussinesq system ⋮ Stability analysis and abundant closed-form wave solutions of the Date-Jimbo-Kashiwara-Miwa and combined sinh-cosh-Gordon equations arising in fluid mechanics ⋮ Global existence for the 2D anisotropic Bénard equations with partial variable viscosity ⋮ Global well-posedness for a model of 2D temperature-dependent Boussinesq equations without diffusivity ⋮ Dynamics of lump collision phenomena to the (3+1)-dimensional nonlinear evolution equation ⋮ Dynamics of lump solutions to the variable coefficients (2+1)-dimensional Burger's and Chaffee-Infante equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global wellposedness of an inviscid \(2D\) Boussinesq system with nonlinear thermal diffusivity
• On the regularity criteria of the 2D Boussinesq equations with partial dissipation
• Global regularity results for the 2D Boussinesq equations with vertical dissipation
• Global well-posedness for the 2-D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity
• Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation
• On two-dimensional magnetic Bénard problem with mixed partial viscosity
• Global regularity results for the 2D Boussinesq equations with partial dissipation
• Global-wellposedness of 2D Boussinesq equations with mixed partial temperature-dependent viscosity and thermal diffusivity
• The 2D Boussinesq equations with vertical viscosity and vertical diffusivity
• Global regularity of solutions of 2D Boussinesq equations with fractional diffusion
• Global well-posedness of the viscous Boussinesq equations
• Spectral method for solving two-dimensional Newton-Boussinesq equations
• Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Vorticity and Incompressible Flow
• GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
• Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
• Initial boundary value problem for 2D Boussinesq equations with temperature-dependent diffusion
• Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation