國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Mathematical analysis of shock wave ...

Chen, Shuxing.

Mathematical analysis of shock wave reflection

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematical analysis of shock wave reflectionby Shuxing Chen.
作者:	Chen, Shuxing.
出版者:	Singapore :Springer Singapore :2020.
面頁冊數:	xi, 251 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Shock wavesMathematics.
電子資源:	https://doi.org/10.1007/978-981-15-7752-9
ISBN:	9789811577529$q(electronic bk.)

Mathematical analysis of shock wave reflection
Chen, Shuxing.

Mathematical analysis of shock wave reflection[electronic resource] /by Shuxing Chen. - Singapore :Springer Singapore :2020. - xi, 251 p. :ill., digital ;24 cm. - Series in contemporary mathematics,v.42364-009X ;. - Series in contemporary mathematics ;v.1..

Introduction -- Shock Polar Analysis -- Perturbation of Regular Shock Reflection -- Stability of Mach Configuration -- Shock Reflection in Unsteady Flow -- Further Considerations and Open Problems -- Appendix.

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.

ISBN: 9789811577529$q(electronic bk.)

Standard No.: 10.1007/978-981-15-7752-9doiSubjects--Topical Terms:

245441
Shock waves
--Mathematics.

LC Class. No.: QA377 / .C446 2020

Dewey Class. No.: 515.353

Mathematical analysis of shock wave reflection
LDR:02425nmm a2200337 a 4500 001 586227
003 DE-He213
005 20210128112220.0
006 m d
007 cr nn 008maaau
008 210323s2020 si s 0 eng d
020 $a 9789811577529$q(electronic bk.)
020 $a 9789811577512$q(paper)
024 7 $a 10.1007/978-981-15-7752-9 $2 doi
035 $a 978-981-15-7752-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377 $b .C446 2020
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.353 $2 23
090 $a QA377 $b .C518 2020
100 1 $a Chen, Shuxing. $3 575743
245 1 0 $a Mathematical analysis of shock wave reflection $h [electronic resource] / $c by Shuxing Chen.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2020.
300 $a xi, 251 p. : $b ill., digital ; $c 24 cm.
490 1 $a Series in contemporary mathematics, $x 2364-009X ; $v v.4
505 0 $a Introduction -- Shock Polar Analysis -- Perturbation of Regular Shock Reflection -- Stability of Mach Configuration -- Shock Reflection in Unsteady Flow -- Further Considerations and Open Problems -- Appendix.
520 $a 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.
650 0 $a Shock waves $x Mathematics. $3 245441
650 0 $a Differential equations, Partial. $3 189753
650 0 $a Dynamics. $3 189568
650 0 $a Ergodic theory. $3 219112
650 1 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Series in contemporary mathematics ; $v v.1. $3 719779
856 4 0 $u https://doi.org/10.1007/978-981-15-7752-9
950 $a Mathematics and Statistics (SpringerNature-11649)