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02089aam a2200337 i 4500 001 8279815E6DF511ECB33FF4E951ECA4DB 003 SILO 005 20220105010041 008 210326s2021 riua b 001 0 eng 010 $a 2021009618 020 $a 1470466252 020 $a 9781470466251 020 $a 1470465671 020 $a 9781470465674 035 $a (OCoLC)1245250623 040 $a DLC $b eng $e rda $c DLC $d OCLCO $d OCLCF $d YDX $d IWA $d SILO 042 $a pcc 050 00 $a QA930 L58 2021 100 1 $a Liu, Tai-Ping, $d 1945- $e author. 245 10 $a Shock waves / $c Tai-Ping Liu. 264 1 $a Providence, Rhode Island : $b American Mathematical Society, $c [2021] 300 $a xvii, 437 pages : $b illustrations ; $c 27 cm. 490 1 $a Graduate studies in mathematics, $x 1065-7339 ; $v 215 504 $a Includes bibliographical references and index. 520 $a "This book presents the fundamentals of the shock wave theory. Shock waves are present in many natural situations as a consequence of nonlinear constitutive relations. Mathematical analysis of shock waves is based mostly on the conservation laws. Consider the case of gas dynamics. There is the conservation of mass. The conservation of momentum follows from the Newtonian physics. During the nineteenth century, the conservation of energy and the second law of thermodynamics were formulated. This is the scientific background when Stokes [119] and Riemann [112] did their pioneering works on shock waves in the mid-nineteenth century. More conservation laws were subsequently formulated with the study of electro-magnetism, nonlinear elasticity, high temperature gas dynamics, and other physical phenomena. There have been important, continuing progresses on the development of shock wave theory since the time of Stokes and Riemann."-- $c Preface. 650 0 $a Shock waves $x Mathematical models. 830 0 $a Graduate studies in mathematics ; $v v. 215. 941 $a 1 952 $l USUX851 $d 20220105015630.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=8279815E6DF511ECB33FF4E951ECA4DB 994 $a C0 $b IWAInitiate Another SILO Locator Search