Existence and uniqueness of solutions of the Boussinesq system with nonlinear thermal diffusion
From MaRDI portal
Publication:1270577
DOI10.12775/TMNA.1998.004zbMath0916.35087MaRDI QIDQ1270577
Jesús Ildefonso Díaz, Gonzalo Galiano
Publication date: 27 July 1999
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
weak solutionNavier-Stokes equationsregularizationvariational formulationdualityiterative schemedegenerate diffusionsingular diffusionquasilinear parabolic systemtemperature-dependent fluid characteristics
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (25)
On the two-dimensional Boussinesq equations with temperature-dependent thermal and viscosity diffusions in general Sobolev spaces ⋮ Regularity criteria for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity in a bounded domain ⋮ Analytical smoothing effect of solution for the Boussinesq equations ⋮ Evolutionary Boussinesq model with nonmonotone friction and heat flux boundary conditions ⋮ On the global well-posedness of 2-D Boussinesq system with variable viscosity ⋮ On existence, regularity and uniqueness of thermally coupled incompressible flows in a system of three dimensional pipes ⋮ Weak-strong uniqueness for heat conducting non-Newtonian incompressible fluids ⋮ Conditional and unconditional stability for double diffusive convection when the viscosity has a maximum ⋮ ON THE EQUATIONS GOVERNING THE FLOW OF MECHANICALLY INCOMPRESSIBLE, BUT THERMALLY EXPANSIBLE, VISCOUS FLUIDS ⋮ Solvability of \(p\)-Laplacian parabolic logistic equations with constraints coupled with Navier-Stokes equations in 2D domains ⋮ Existence of solutions for a class of nonlinear Boussinesq systems ⋮ Existence and uniqueness of weak-renormalized solutions of a nonlinear Boussinesq system ⋮ On certain mathematical models in continuum thermomechanics ⋮ Stability of two-dimensional heat-conducting incompressible motions in a cylinder ⋮ On stability of solutions to equations describing incompressible heat-conducting motions under Navier's boundary conditions ⋮ The Oberbeck-Boussinesq problem modified by a thermo-absorption term ⋮ Regularity criteria and uniform estimates for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity ⋮ Local well-posedness for Boussinesq approximation with shear dependent viscosities in 3D ⋮ Multicomponent flow in a porous medium. Adsorption and Soret effect phenomena: local study and upscaling process ⋮ On the uniqueness for the Boussinesq system with non linear diffusion ⋮ Study of a nonlinear Boussinesq-Stefan system with second member having a growth ⋮ Uniqueness and regularity for the 3D Boussinesq system with damping ⋮ On the coupling between a Navier-Stokes equation and a total energy equation in spatial dimension \(N=3\) ⋮ On the global well-posedness of 3-D Boussinesq system with variable viscosity ⋮ Conservative finite-difference scheme for the 2D problem of femtosecond laser pulse interaction with kink structure of high absorption in semiconductor
This page was built for publication: Existence and uniqueness of solutions of the Boussinesq system with nonlinear thermal diffusion