A Note on Regularity and Uniqueness of Natural Convection with Effects of Viscous Dissipation in 3D Open Channels

Abstract

We prove the existence of unique regular solutions of steady-state buoyancy-driven flows of viscous incompressible heat-conducting fluids in 3D open channels under mixed boundary conditions. The model takes into account the phenomena of the viscous energy dissipation.

18 pages

References in corpus (1)

• Lp estimates of solutions to mixed boundary value problems for the Stokes system in polyhedral domains

Cited by in corpus (3)

• Non-stationary Navier-Stokes Equations with Mixed Boundary Conditions
• On existence of thermally coupled incompressible flows in a system of three dimensional pipes
• On existence and uniqueness of solutions to a Boussinesq system with nonlinear and mixed boundary conditions