On weak solutions of nonstationary Boussinesq equations
From MaRDI portal
Publication:1261637
zbMath0785.35078MaRDI QIDQ1261637
Publication date: 4 October 1993
Published in: Differential and Integral Equations (Search for Journal in Brave)
regularityexistenceinitial-boundary value problemuniquenessa priori estimatesweak solutionsexterior domainviscous incompressible fluidNavier-Stokes systemdiscontinuous coefficient functionsnonstationary Boussinesq equations
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05)
Related Items
DECAY PROPERTIES OF SOLUTIONS TO THE LINEARIZED COMPRESSIBLE NAVIER–STOKES EQUATION AROUND TIME-PERIODIC PARALLEL FLOW ⋮ REMARKS ON THE BLOW-UP CRITERION FOR THE 3-D BOUSSINESQ EQUATIONS ⋮ On an iterative method for approximate solutions of a generalized Boussinesq model ⋮ Weak-strong uniqueness for heat conducting non-Newtonian incompressible fluids ⋮ Asymptotic behavior and stability of solutions to the exterior convection problem ⋮ Upper bounds of the rates of decay for solutions of the Boussinesq equations ⋮ Boundary-layer effects for the 2-D Boussinesq equations with vanishing diffusivity limit in the half plane ⋮ Boussinesq equations in three dimensional thin domains and the corresponding two dimensional limit ⋮ 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 ⋮ Some remarks on planar Boussinesq equations ⋮ The Oberbeck-Boussinesq problem modified by a thermo-absorption term ⋮ Influence of surface roughness to solutions of the Boussinesq equations with Robin boundary condition ⋮ Optimal initial value conditions for the existence of strong solutions of the Boussinesq equations ⋮ Local well-posedness for Boussinesq approximation with shear dependent viscosities in 3D ⋮ Uniqueness and regularity for the 3D Boussinesq system with damping ⋮ On the blowup criteria and global regularity for the non-diffusive Boussinesq equations with temperature-dependent viscosity coefficient ⋮ On heat convection equations in a half space with non-decaying data and Stokes semi-group on Besov spaces based on \(L^{\infty }\) ⋮ On the existence of weak solutions to the equations of non-stationary motion of heat-conducting incompressible viscous fluids ⋮ Unnamed Item