Blow-up in Nonlinear Sobolev Type Equations
Language: English
Published by De Gruyter, DE, 2011
Series: Book 6 of 39 - De Gruyter Series in Nonlinear Analysis and Applications
- Hardcover
- New
Seller: Rarewaves USA, HEBRON, KY, U.S.A.Rarewaves USA
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Condition: New
£ 320.77
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Add to basketItem description from seller
The monograph is devoted to the study of initial-boundary-value problems for multi-dimensional Sobolev-type equations over bounded domains. The authors consider both specific initial-boundary-value problems and abstract Cauchy problems for first-order (in the time variable) differential equations with nonlinear operator coefficients with respect to spatial variables. The main aim of the monograph is to obtain sufficient conditions for global (in time) solvability, to obtain sufficient conditions for blow-up of solutions at finite time, and to derive upper and lower estimates for the blow-up time. The abstract results apply to a large variety of problems. Thus, the well-known Benjamin-Bona-Mahony-Burgers equation and Rosenau-Burgers equations with sources and many other physical problems are considered as examples. Moreover, the method proposed for studying blow-up phenomena for nonlinear Sobolev-type equations is applied to equations which play an important role in physics. For instance, several examples describe different electrical breakdown mechanisms in crystal semiconductors, as well as the breakdown in the presence of sources of free charges in a self-consistent electric field. The monograph contains a vast list of references (440 items) and gives an overall view of the contemporary state-of-the-art of the mathematical modeling of various important problems arising in physics. Since the list of references contains many papers which have been published previously only in Russian research journals, it may also serve as a guide to the Russian literature.…
Seller Inventory # LU-9783110255270
- Title
- Blow-up in Nonlinear Sobolev Type Equations
- Author
- Alexander B. Al'shin, Maxim O. Korpusov, Alexey G. Sveshnikov
- Publisher
- De Gruyter, DE
- Publication year
- 2011
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 3110255278
- ISBN 13
- 9783110255270
- Item weight
- 1,234 grams
- Series
- Book 6 of 39: De Gruyter Series in Nonlinear Analysis and Applications
"Synopsis" may belong to another edition of this title.
About the Author
Alexander B. Al'shin, Maxim O. Korpusov, Alexey G. Sveshnikov, Lomonosov Moscow State University, Russia.
"About the title" may belong to another edition of this title.
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