ShowMe Analysis Meeting 2004 June 3-5, 2004 University of Missouri Columbia, Missouri

Charles Moore (Kansas State University)
On the two phase Stefan Problem

Abstract: We consider the two-phase Stefan problem , where for , and for . Using ideas (of many authors) from the study of nonlinear diffusion equations and the one phase Stefan problem, we show local representation formulas, regularity results and local energy estimates. We discuss the growth at infinity of distributional solutions in and the structure of the free boundary. This is joint work with Marianne Korten.