Global well-posedness for the \(2\frac{1}{2}\)D Bénard system with partial viscosity terms

DOI10.1016/j.amc.2016.02.043zbMath1410.35149OpenAlexW2308812545MaRDI QIDQ1733422

Qin Zhang

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.02.043

zbMATH Keywords

Cauchy problemglobal well-posedness\(2\frac{1}{2}\)D Bénard systempartial viscosity terms

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) 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) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (6)

Global well-posedness to the Cauchy problem of 2D nonhomogeneous Bénard system with large initial data and vacuum ⋮ Local strong solutions to the nonhomogeneous Bénard system with nonnegative density ⋮ Global regularity results for the 212 D magnetic Bénard system with mixed partial viscosity ⋮ Global strong solution to the nonhomogeneous Bénard system with large initial data and vacuum ⋮ Global strong solution of nonhomogeneous Bénard system with large initial data and vacuum in a bounded domain ⋮ Global strong solution and exponential decay to the 3D Cauchy problem of nonhomogeneous Bénard system with vacuum

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