This book is aimed to make careful analysis to various mathematical problems derived from shock reflection by using the theory of partial differential equations. The occurrence, propagation and reflection of shock waves are important phenomena in fluid dynamics. Comparing the plenty of studies of physical experiments and numerical simulations on this subject, this book makes main efforts to develop the related theory of mathematical analysis, which is rather incomplete so far.
The book first introduces some basic knowledge on the system of...
This book is aimed to make careful analysis to various mathematical problems derived from shock reflection by using the theory of partial differe...
Several important problems arising in Physics, Differential Geometry and other topics lead to consider semilinear variational equations of strongly indefinite type and a great deal of work has been devoted to their study. From the mathematical point of view, the main interest relies on the fact that the tools of Nonlinear Functional Analysis, based on compactness arguments and non-degenerate structure, in general cannot be used, at least in a straightforward way, and some new techniques have to be developed.
This book discusses some new abstract methods together with their...
Several important problems arising in Physics, Differential Geometry and other topics lead to consider semilinear variational equations of strongly...
This book aims to establish a systematic theory on the synchronization for wave equations with locally distributed controls. It is structured in two parts. Part I is devoted to internal controls, while Part II treats the case of mixed internal and boundary controls. The authors present necessary mathematical formulations and techniques for analyzing and solving problems in this area. They also give numerous examples and applications to illustrate the concepts and demonstrate their practical relevance.
The book provides an overview of the field and offers an in-depth analysis...
This book aims to establish a systematic theory on the synchronization for wave equations with locally distributed controls. It is structured in tw...