
包邮Mathematical analysis of shock wave reflection

- ISBN:9787547851296
- 装帧:70g胶版纸
- 册数:暂无
- 重量:暂无
- 开本:24cm
- 页数:11,251页
- 出版时间:2020-11-01
- 条形码:9787547851296 ; 978-7-5478-5129-6
本书特色
激波研究除了对数学,对流体力学乃至国防科学都具有重要意义 本书作者权威,是中科院院士,国内知名的偏微分方程专家,在国际上也有一定的影响力。 理论性强,应用面广,本书为“现代数学丛书”第三辑的一本,不仅充分体现当代数学的前沿成就,以及作者高度的原创性,对相关领域如物理学、工程技术、国防都有关联,具有较广的应用面。
内容简介
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.
作者简介
陈恕行,复旦大学教授,著名偏微分方程专家,中国科学院院士。其研究成果发表在有很高知名度的JAMS等国际数学杂志上。曾获国家自然科学奖二等奖2项。曾在2010年召开的国际数学家大会(ICM2010)上作45分钟邀请报告。已发表论文130余篇。
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