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

Author: S N Antont︠s︡ev; J I Díaz; S I Shmarev
Publisher: Boston : Birkhäuser, ©2002.
Series: Progress in nonlinear differential equations and their applications, v. 48.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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Offers an account of modern developments in energy methods for the study of free boundary problems in partial differential equations. This book is suitable for applied mathematicians and graduate  Read more...

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Additional Physical Format: Online version:
Antont︠s︡ev, S.N. (Stanislav Nikolaevich).
Energy methods for free boundary problems.
Boston : Birkhäuser, ©2002
(OCoLC)712588215
Document Type: Book
All Authors / Contributors: S N Antont︠s︡ev; J I Díaz; S I Shmarev
ISBN: 0817641238 9780817641238 3764341238 9783764341237
OCLC Number: 48223517
Description: xi, 329 pages : illustrations ; 24 cm.
Contents: 1. Localized Solutions of Nonlinear Stationary Problems. 1. Introduction. 2. Second-order elliptic equations. 3. The weighted diffusion/absorption balance. 4. Anisotropic equations: Diffusion/absorption balance. 5. Systems of second-order elliptic equations. 6. Higher-order elliptic equations. 7. Bibliographical notes and open problems --
2. Stabilization in a Finite Time to a Stationary State. 1. Introduction. 2. Second-order parabolic equations. 3. The weighted diffusion-absorption balance. 4. The Cauchy problem. 5. Equations with nonpower and isotropic nonlinearities. 6. Systems of equations of combined type. 7. Higher-order parabolic equations and other applications. 8. Bibliographical notes and open problems.
Series Title: Progress in nonlinear differential equations and their applications, v. 48.
Responsibility: S.N. Antontsev, J.I. Díaz, S. Shmarev.
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"The book contains some new unpublished results.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 Read more...

 
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