The initial boundary value problem for the equations of motion of compressible viscous and heatconductive fluid
Abstract
We prove the global existence and uniqueness of solutions to the equations of motion for compressible, viscous and heatconductive Newtonian fluid in a bounded domain, with small initial data and external force, and boundary conditions of zero velocity and constant temperature. We also show that the solution decays exponentially to a unique equilibrium state. The proof uses an energy method similar to the one used in our previous results on the pure initial value problem plus some new techniques for estimates near the boundary.
 Publication:

Technical Summary Report Wisconsin Univ
 Pub Date:
 July 1981
 Bibcode:
 1981wisc.reptR....M
 Keywords:

 Boundary Value Problems;
 Compressible Flow;
 Equations Of Motion;
 Heat Transfer;
 Boundary Conditions;
 NavierStokes Equation;
 Partial Differential Equations;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer