Blow-Up in Nonlinear Equations of Mathematical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Blow-Up in Nonlinear Equations of Mathematical Physics write by Maxim Olegovich Korpusov. This book was released on 2018-08-06. Blow-Up in Nonlinear Equations of Mathematical Physics available in PDF, EPUB and Kindle. The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations of mathematical physics. The included material is based on lectures read by the authors at the Lomonosov Moscow State University, and the book is addressed to a wide range of researchers and graduate students working in nonlinear partial differential equations, nonlinear functional analysis, and mathematical physics. Contents Nonlinear capacity method of S. I. Pokhozhaev Method of self-similar solutions of V. A. Galaktionov Method of test functions in combination with method of nonlinear capacity Energy method of H. A. Levine Energy method of G. Todorova Energy method of S. I. Pokhozhaev Energy method of V. K. Kalantarov and O. A. Ladyzhenskaya Energy method of M. O. Korpusov and A. G. Sveshnikov Nonlinear Schrödinger equation Variational method of L. E. Payne and D. H. Sattinger Breaking of solutions of wave equations Auxiliary and additional results
Blow-Up in Nonlinear Equations
Blow-Up in Nonlinear Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Blow-Up in Nonlinear Equations write by Maxim Olegovich Korpusov. This book was released on 2014-10-15. Blow-Up in Nonlinear Equations available in PDF, EPUB and Kindle. 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.
Blow-up in Nonlinear Sobolev Type Equations
Blow-up in Nonlinear Sobolev Type Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Blow-up in Nonlinear Sobolev Type Equations write by A. B. Alʹshin. This book was released on 2011. Blow-up in Nonlinear Sobolev Type Equations available in PDF, EPUB and Kindle. 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.
Blow-up of solutions of model nonlinear equations of mathematical physics
Blow-up of solutions of model nonlinear equations of mathematical physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Blow-up of solutions of model nonlinear equations of mathematical physics write by M. O. Korpusov. This book was released on 2013. Blow-up of solutions of model nonlinear equations of mathematical physics available in PDF, EPUB and Kindle.
Nonlinear Dynamics and Renormalization Group
Nonlinear Dynamics and Renormalization Group - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Dynamics and Renormalization Group write by Israel Michael Sigal. This book was released on 2001. Nonlinear Dynamics and Renormalization Group available in PDF, EPUB and Kindle. This book contains the proceedings from the workshop, Nonlinear Dynamics and Renormalization Group, held at the Centre de recherches mathématiques (CRM) in Montréal (Canada), as part of the year-long program devoted to mathematical physics. In the book, active researchers in the fields of nonlinear partial differential equations and renormalization group contribute recent results on topics such as Ginzburg-Landau equations and blow-up of solutions of the nonlinear Schroedinger equations, quantum resonances, and renormalization group analysis in constructive quantum field theory. This volume offers the latest research in the rapidly developing fields of nonlinear equations and renormalization group.
