激波反射的數(shù)學分析（英文版）

　　This book focuses on careful analysis to various mathematical problems derived from shock reflection by using partial differential equations. The occurence， 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， as well as the concept of shock polar and its properties， which are first sys tematically presented and proved. Mathematical analysis of regular reflection and Mach reflection in both steady and unsteady flow arc the most essential parts of this book. To give challenges in future research， some long-standing open problems are listed in the end of this book.The book is attractive to researchers in the fields of partial differential equations， system of conservation laws， fluid dynamics and shock theory.

　　復旦大學教授，著名偏微分方程專家，中國科學院院士。其研究成果發(fā)表在有很高知名度的JAMS等國際數(shù)學雜志上。曾獲國家自然科學獎二等獎2項。曾在2010年召開的國際數(shù)學家大會（ICM2010）上作45分鐘邀請報告。已發(fā)表論文130余篇。