LEADER 02927nam 2200517 450 001 996418264603316 005 20210205020451.0 010 $a981-15-7752-8 024 7 $a10.1007/978-981-15-7752-9 035 $a(CKB)4100000011413869 035 $a(DE-He213)978-981-15-7752-9 035 $a(MiAaPQ)EBC6340236 035 $a(PPN)250219093 035 $a(EXLCZ)994100000011413869 100 $a20210205d2020 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical analysis of shock wave reflection /$fShuxing Chen 205 $a1st ed. 2020. 210 1$aSingapore :$cSpringer,$d[2020] 210 4$dİ2020 215 $a1 online resource (XI, 251 p. 42 illus., 1 illus. in color.) 225 1 $aSeries in Contemporary Mathematics,$x2364-009X ;$v4 311 $a981-15-7751-X 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Shock Polar Analysis -- Perturbation of Regular Shock Reflection -- Stability of Mach Configuration -- Shock Reflection in Unsteady Flow -- Further Considerations and Open Problems -- Appendix. 330 $aThis book is aimed to make careful analysis to various mathematical problems derived from shock reflection by using the theory of partial differential equations. The occurrence, propagation and reflection of shock waves are important phenomena in fluid dynamics. Comparing the plenty of studies of physical experiments and numerical simulations on this subject, this book makes main efforts to develop the related theory of mathematical analysis, which is rather incomplete so far. The book first introduces some basic knowledge on the system of compressible ?ow and shock waves, then presents the concept of shock polar and its properties, particularly the properties of the shock polar for potential ?ow equation, which are ?rst systematically presented and proved in this book. Mathematical analysis of regular re?ection and Mach reflection in steady and unsteady ?ow are the most essential parts of this book. To give challenges in future research, some long-standing open problems are listed in the end. This book is attractive to researchers in the fields of partial differential equations, system of conservation laws, fluid dynamics, and shock theory. . 410 0$aSeries in Contemporary Mathematics,$x2364-009X ;$v4 606 $aDynamics 606 $aDifferential equations, Partial 606 $aErgodic theory 615 0$aDynamics. 615 0$aDifferential equations, Partial. 615 0$aErgodic theory. 676 $a410.1 700 $aChen$b Shuxing$0736943 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418264603316 996 $aMathematical analysis of shock wave reflection$92391160 997 $aUNISA