Global solvability for double-diffusive convection system based on Brinkman-Forchheimer equation in general domains

Publication date: 26 September 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1470413994

zbMATH Keywords

Brinkman-Forchheimer equation Banach's fixed point theorem double-diffusive convection system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Initial value problems for second-order parabolic systems (35K45)

Related Items (8)

Attractors for autonomous double-diffusive convection systems based on Brinkman-Forchheimer equations ⋮ Blowup criterion via only the middle eigenvalue of the strain tensor in anisotropic Lebesgue spaces to the 3D double-diffusive convection equations ⋮ The suitable weak solution for the Cauchy problem of the double-diffusive convection system ⋮ The well-posedness for the Cauchy problem of the double-diffusive convection system ⋮ Blowup criterion of strong solutions to the three-dimensional double-diffusive convection system ⋮ Existence of time periodic solution to some double-diffusive convection system in the whole space domain ⋮ Global regularity and stability of solutions to the 3D double-diffusive convection system with Navier boundary conditions ⋮ Well-posedness and blowup criterion to the double-diffusive magnetoconvection system in 3D

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