Blow-Up in Nonlinear Equations of Mathematical Physics: Theory and Methods, Korpusov Maxim Olegovich, Ovchinnikov Alexey Vital`evich, Sveshnikov Alexey Georgievich
Автор: Maxim Olegovich Korpusov, Alexey Vital`evich Ovchinnikov Название: Blow-up in Nonlinear Equations: In Mathematical Physics ISBN: 3110313111 ISBN-13(EAN): 9783110313116 Издательство: Walter de Gruyter Цена: 223090.00 T Наличие на складе: Невозможна поставка. Описание: This book is about the phenomenon ofthe emergence of blow-up effectsin nonlinear equations.In particular it deals with theirapplicationsin modern mathematical physics.The bookmay also serve as a manual for researchers who want toget an overview ofthe main methods in nonlinear analysis.
Автор: Al`shin Alexander B., Korpusov Maxim O., Sveshnikov Alexey G. Название: Blow-Up in Nonlinear Sobolev Type Equations ISBN: 3110255278 ISBN-13(EAN): 9783110255270 Издательство: Walter de Gruyter Рейтинг: Цена: 495050.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
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.
Казахстан, 010000 г. Астана, проспект Туран 43/5, НП2 (офис 2) ТОО "Логобук" Тел:+7 707 857-29-98 ,+7(7172) 65-23-70 www.logobook.kz
