Energy Methods for Free Boundary Problems
Publisher: Springer; Brand: Birkhäuser
Published: Oct 23, 2012
Format: paperback
Number of pages: 348
ISBN-13: 9781461266075
Description: This book is an integrated account of modern developments in energy methods for the study of free boundary problems in partial differential equations. The theory presented has particular relevance to a number of 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. The work is divided into two parts. The first part is an exposition of the methods of several general classes of nonlinear equations and systems. Part two presents applications to the theory. `Energy Methods for Free Boundary Problems' will appeal to applied mathematicians and graduate students whose research is in partial differential equations, nonlinear analysis, and continuum mechanics. Applications to a number of different problems arising in continuum mechanics (fluid dynamics) are presented making this book of equal interest to physicists and engineers as well.
Notes: Source title: Energy Methods for Free Boundary Problems (Progress in Nonlinear Differential Equations and Their Applications)