New approach to the incompressible Maxwell–Boussinesq approximation: Existence, uniqueness and shape sensitivity

Author:

Consiglieri L.,Nečasová Š.,Sokolowski J.

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference26 articles.

1. Steady model of magnetohydrodynamics viscous fluid with heat transfer;Alekseev;Uspekhi Mech.,2006

2. Shape derivative of sharp functionals governed by Navier–Stokes flow;Boisgérault,2000

3. Boundary variations in the Navier–Stokes equations and Lagrangian functionals;Boisgérault,2001

4. Incompressible Maxwell–Boussinesq approximation: Existence, uniqueness and shape sensitivity;Consiglieri;Control Cybernet.,2009

5. Regularity to stationary weak solutions for generalized Newtonian fluids with energy transfer;Consiglieri;Zap. Nauchn. Sem. POMI,2000

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1. A grad‐div stabilized method using the Jacobi iteration for the thermally coupled incompressible magnetohydrodynamic system;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2022-12-30

2. Existence of a solution to the steady Magnetohydrodynamics‐Boussinesq system with mixed boundary conditions;Mathematical Methods in the Applied Sciences;2022-04-14

3. Stability and convergence of iterative finite element methods for the thermally coupled incompressible MHD flow;International Journal of Numerical Methods for Heat & Fluid Flow;2020-05-14

4. On existence, regularity and uniqueness of thermally coupled incompressible flows in a system of three dimensional pipes;Nonlinear Analysis: Theory, Methods & Applications;2017-01

5. About one splitting scheme for the nonlinear problem of thermal convection;International Journal of Heat and Mass Transfer;2017-01

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