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Mathematical analysis of shock wave reflection 版權信息
- ISBN:9787547851296
- 條形碼:9787547851296 ; 978-7-5478-5129-6
- 裝幀:70g膠版紙
- 冊數:暫無
- 重量:暫無
- 所屬分類:>>
Mathematical analysis of shock wave reflection 本書特色
激波研究除了對數學,對流體力學乃至國防科學都具有重要意義 本書作者權威,是中科院院士,國內知名的偏微分方程專家,在國際上也有一定的影響力。 理論性強,應用面廣,本書為“現代數學叢書”第三輯的一本,不僅充分體現當代數學的前沿成就,以及作者高度的原創性,對相關領域如物理學、工程技術、國防都有關聯,具有較廣的應用面。
Mathematical analysis of shock wave reflection 內容簡介
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.
Mathematical analysis of shock wave reflection 作者簡介
陳恕行,復旦大學教授,著名偏微分方程專家,中國科學院院士。其研究成果發表在有很高知名度的JAMS等國際數學雜志上。曾獲國家自然科學獎二等獎2項。曾在2010年召開的國際數學家大會(ICM2010)上作45分鐘邀請報告。已發表論文130余篇。
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