Model of a Nonuniformly Heated Viscous Flowthrough a Bounded Domain
Evgenii S. Baranovskii, Anastasia A. Domnich
Abstract
A mathematical model describing the flow of a nonuniformly heated viscous fluid through a bounded domain under slip boundary conditions is studied. Sufficient conditions are derived for the solvability of the problem in the class of weak solutions. Energy equalities for the solutions are obtained. It is shown that the set of weak solutions is sequentially weakly closed.
Topics & Concepts
MathematicsBounded functionDomain (mathematical analysis)Ordinary differential equationPartial differential equationBoundary value problemFlow (mathematics)Mathematical analysisSlip (aerodynamics)GeometryDifferential equationThermodynamicsPhysicsNavier-Stokes equation solutionsAdvanced Mathematical Modeling in EngineeringAdvanced Numerical Methods in Computational Mathematics