New approach to the incompressible Maxwell-Boussinesq approximation: existence, uniqueness and shape sensitivity

DOI10.1016/j.jde.2010.09.029zbMath1205.35222OpenAlexW2128815480MaRDI QIDQ615965

Luisa Consiglieri, Šarka Matušú-Nečasová, Jan Sokolowski

Publication date: 7 January 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.09.029

zbMATH Keywords

existenceuniquenessshape sensitivitymagnetohydrodynamic flows

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Variational methods applied to problems in fluid mechanics (76M30) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (7)

Mixed boundary value problems for stationary magnetohydrodynamic equations of a viscous heat-conducting fluid ⋮ Solvability of a mixed boundary value problem for stationary equations of magnetohydrodynamics of a viscous heat-conducting liquid ⋮ On existence, regularity and uniqueness of thermally coupled incompressible flows in a system of three dimensional pipes ⋮ A grad‐div stabilized method using the Jacobi iteration for the thermally coupled incompressible magnetohydrodynamic system ⋮ Existence of a solution to the steady Magnetohydrodynamics‐Boussinesq system with mixed boundary conditions ⋮ On coupled Navier-Stokes and energy equations in exterior-like domains ⋮ A note on the regularity of thermally coupled viscous flows with critical growth in nonsmooth domains

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