Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics (Progress in Nonlinear Differential Equations and Their Applications, 48)

Antontsev, S.N., Diaz, J.I., Shmarev, S.

ISBN 10: 1461266076 / ISBN 13: 9781461266075

Published by Birkhäuser, 2012

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Bibliographic Details

• Title: Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics (Progress in Nonlinear Differential Equations and Their Applications, 48)
• Publisher: Birkhäuser
• Publication Date: 2012
• Language: English
• ISBN 10: 1461266076
• ISBN 13: 9781461266075
• Binding: Paperback
• Condition: Like New
• Book Type: book

About this title

Synopsis

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.

Review

"The book contains some new unpublished results. It will appeal to researchers in partial differential equations, nonlinear analysis, and continuum mechanics."

―Zentralblatt Math

". . . very important and useful monograph . . . The book is addressed to pure or applied mathematicians at universities and in industry and also to graduate level students. All results are presented in a systematic and self-contained manner, precise proofs being usually sufficiently detailed. The topic makes the book appealing for any specialist interested in applications of energy methods for free boundary problems in nonlinear PDEs and fluid mechanics."

―Mathematical Reviews

"The book...is a well-done selection of the most powerful energy methods - some of them very recent - used in the study of free boundary problems in nonlinear partial differential equations. Clearly and concisely written and containing a plenty of examples and applications, this monograph is of interset for all those mathematicians, or applied mathematicians, working in Partial Diffferential Equations, Nonlinear Analysis and Fluid Mechanics, physicists and engineers." ---Analele Stiintifice ale Auniversitatii ,,al.I. cuza din Iasi