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Mathematical Analysis of Shock Wave Reflection (Paperback, 1st ed. 2020)
Loot Price: R3,771
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Mathematical Analysis of Shock Wave Reflection (Paperback, 1st ed. 2020)
Series: Series in Contemporary Mathematics, 4
Expected to ship within 10 - 15 working days
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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 compressible flow and shock waves,
then presents the concept of shock polar and its properties,
particularly the properties of the shock polar for potential flow
equation, which are first systematically presented and proved in
this book. Mathematical analysis of regular reflection and Mach
reflection in steady and unsteady flow are the most essential parts
of this book. To give challenges in future research, some
long-standing open problems are listed in the end. This book is
attractive to researchers in the fields of partial differential
equations, system of conservation laws, fluid dynamics, and shock
theory.
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