Boussinesq system with non-homogeneous boundary conditions
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Publication:899397
DOI10.1016/j.aml.2015.09.015zbMath1333.35175OpenAlexW1882855385MaRDI QIDQ899397
Chérif Amrouche, Paul Acevedo, Carlos Conca
Publication date: 28 December 2015
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2015.09.015
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35)
Related Items (6)
Uniform stabilization of Boussinesq systems in critical \(\mathbf{L}^q \)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls ⋮ Lptheory for Boussinesq system with Dirichlet boundary conditions ⋮ Unique continuation properties of over-determined static Boussinesq problems with application to uniform stabilization of dynamic Boussinesq systems ⋮ Maximal \(L^p\)-regularity for an abstract evolution equation with applications to closed-loop boundary feedback control problems ⋮ Finite-dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory ⋮ Steady Boussinesq system with mixed boundary conditions including friction conditions.
Cites Work
- The existence and uniqueness of very weak solutions of the stationary Boussinesq system
- Stationary Stokes, Oseen and Navier-Stokes equations with singular data
- On the existence and uniqueness of the stationary solution to the equations of natural convection
- Heat Convection Equation with Nonhomogeneous Boundary Condition
- Couplage des équations de Navier-Stokes et de la chaleur : le modèle et son approximation par éléments finis
- Unnamed Item
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