Blow-Up in Quasilinear Parabolic Equations / Edition 1

by A. A. Samarskii, Victor a. Galaktionov, Sergey p. Kurdyumov, A. P. Mikhailov, Michael Grinfeld

Overview

No detailed description available for "Blow-Up in Quasilinear Parabolic Equations".

Product Details

ISBN-13:	9783110127546
Publisher:	De Gruyter
Publication date:	03/28/1995
Series:	De Gruyter Expositions in Mathematics , #19
Edition description:	Reprint 2011
Pages:	554
Product dimensions:	6.69(w) x 9.45(h) x (d)
Age Range:	18 Years

Editorial Reviews

Presents some mathematical aspects of the theory of blow-up phenomena in nonlinear continua, analyzing their distinguishing properties using quasilinear heat equations and certain systems of quasilinear equations. Based on research from the past 15 years or so at the Russian Academy of Sciences, discusses a number of extraordinary properties of unbounded solutions of many nonlinear boundary problems, the results of numerical experimentation into the spatio-temporal structure of blow-up phenomena, and more common properties and their manifestations in various dissipative media. The results define the main range of questions and the directions of development of blow-up theory; indicate the primary requirements for the theoretical study of unbounded solutions; and demonstrate how to determine the simplest nonlinear models of heat conduction and combustion that exhibit the universal properties of blow-up phenomena. Originally published in Russian by Nauka, Moscow, in 1987. The index is one slender page. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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