An integrated account of modern developments in energy methods for the study of free boundary problems in partial differential equations. The theory presented has relevance to many physical applications, including heat conduction, surface and underground water flow, filtration through porous media, flows of non-Newtonian fluids, boundary layers, chemical reactions, and semiconductors. Part I is an exposition of the methods of several general classes of nonlinear equations and systems. Part II presents applications. Will be useful to applied mathematicians, graduate students, physicists, and engineers.This book is a result of collaboration among the authors over the last 15 years.
|Title||:||Energy Methods for Free Boundary Problems|
|Author||:||S.N. Antontsev, J.I. Diaz, S. Shmarev|
|Publisher||:||Springer Science & Business Media - 2002|