Energy methods for free boundary problems : applications to nonlinear PDEs and fluid mechanics /

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, fi...

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Bibliographic Details
Main Author: Antont͡sev, S. N. (Stanislav Nikolaevich)
Corporate Author: SpringerLink (Online service)
Other Authors: Díaz, J. I., Shmarev, S. I.
Format: eBook
Language:English
Published: Boston : Birkhäuser, [2002]
Series:Progress in nonlinear differential equations and their applications ; v. 48.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Electronic resource.
Physical Description:1 online resource (xi, 329 pages) : illustrations.
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references (pages 301-324) and index.
ISBN:9781461200918 (electronic bk.)
1461200911 (electronic bk.)