The steady state Stefan problem with convection
Abstract
For steadystate Stefan problems with convection in the fluid phase governed by either the Stokes equations or the Navier Stokes equations, and with adherence of the fluid on all boundaries, the existence of a weak solution is obtained via the introduction of a temperature dependent penalty term in the fluid flow equation together with application of various compactness arguments.
 Publication:

Archive for Rational Mechanics and Analysis
 Pub Date:
 March 1980
 DOI:
 10.1007/BF00283258
 Bibcode:
 1980ArRMA..73...79C
 Keywords:

 Convective Flow;
 Flow Theory;
 Fluid Flow;
 NavierStokes Equation;
 Steady State;
 Two Phase Flow;
 Banach Space;
 Boundary Value Problems;
 Fluid Mechanics and Heat Transfer