Blow-Up In Nonlinear Sobolev Type Equations

ISBN: 9783110255270 出版年：2011 页码：660 Al'shin, Alexander B Korpusov, Maxim O Sveshnikov, Alexey G De Gruyter

This monograph is devoted to the general problems of global-on-time solvability and blow-up for finite time of initial-value- and initial-boundary-value-problems solutions for nonlinear equations of Sobolev type. It describes the present state of research for existence and nonexistence questions for Cauchy problems and initial-boundary value problems for linear and nonlinear Sobolev type equations. Furthermore a numerical analysis of their solution properties is given, as well as the contemporary state of the mathematical modeling in urgent branches of physics.