Blow up in Nonlinear Sobolev Type Equations is popular PDF and ePub book, written by A. B. Alʹshin in 2011, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Blow up in Nonlinear Sobolev Type Equations can be Read Online from any device for your convenience.
Blow up in Nonlinear Sobolev Type Equations Book PDF Summary
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.
Detail Book of Blow up in Nonlinear Sobolev Type Equations PDF
- Author : A. B. Alʹshin
- Release : 21 September 2024
- Publisher : Walter de Gruyter
- ISBN : 9783110255270
- Genre : Mathematics
- Total Page : 661 pages
- Language : English
- PDF File Size : 12,5 Mb
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