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 LEADER 03572nam 2200613 450 001 9910808553503321 005 20230808192406.0 010 $a0-8032-9596-0 010 $a0-8032-8899-9 035 $a(CKB)3710000000632983 035 $a(EBL)4497555 035 $a(SSID)ssj0001645930 035 $a(PQKBManifestationID)16416022 035 $a(PQKBTitleCode)TC0001645930 035 $a(PQKBWorkID)14888316 035 $a(PQKB)11193851 035 $a(MiAaPQ)EBC4497555 035 $a(MdBmJHUP)muse50975 035 $a(OCoLC)946085800 035 $a(Au-PeEL)EBL4497555 035 $a(CaPaEBR)ebr11201253 035 $a(CaONFJC)MIL910812 035 $a(OCoLC)946787312 035 $a(EXLCZ)993710000000632983 100 $a20160421h20162016 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aBig house on the prairie $e75 years of the University of Nebraska Press /$fStaff of the University of Nebraska Press 210 1$aLincoln, [Nebraska] ;$aLondon, [England] :$cUniversity of Nebraska Press,$d2016. 210 4$dİ2016 215 $a1 online resource (97 p.) 300 $aDescription based upon print version of record. 311 $a0-8032-8812-3 320 $aIncludes bibliographical references. 327 $aCover ; Title Page ; Copyright Page 330 $a"In 2016 the University of Nebraska Press celebrates its 75th anniversary. Proudly rooted in the Great Plains, the Press has established itself as the largest and most diversified publisher located between Chicago and California. The achievements of a vast network of devoted authors, editors, board members, series editors, and staff, the Press has published more than 4,000 books and more than 30 journals of influential and enduring value. What started as a one-person operation at a land grant institution on the sparsely populated plains of Nebraska has tenaciously grown into a press that has earned an international reputation for publishing notable works in Native studies, history, anthropology, American studies, sports, cultural criticism, fiction, fiction in translation, creative nonfiction, and poetry. Winning numerous awards through the years, most notably several Nobel Prizes, the Press has contributed richly to the state, the region, and far beyond. The Press's partnership with the Jewish Publication Society has placed an emphasis on books in Jewish studies and Bible studies, while the acquisition of Potomac Books has expanded the Press's subject matter to include national and world affairs and more widespread coverage of military history. In honor of its 75th anniversary, the Press has produced the publication Big House on the Prairie, which features a narrative of press highlights, profiles of key historical employees, and lists of its 75 most significant books, 30 journals, and 75 most noteworthy book covers. 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