LEADER 04389nam 22007453u 450 001 9910456704603321 005 20210108151529.0 010 $a1-282-44317-8 010 $a9786612443176 010 $a981-4273-28-7 035 $a(CKB)2550000000003579 035 $a(EBL)477123 035 $a(OCoLC)613361949 035 $a(SSID)ssj0000340979 035 $a(PQKBManifestationID)11253312 035 $a(PQKBTitleCode)TC0000340979 035 $a(PQKBWorkID)10408090 035 $a(PQKB)11244375 035 $a(MiAaPQ)EBC477123 035 $a(EXLCZ)992550000000003579 100 $a20131125d2009|||| u|| | 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aNonlinear Conservation Laws, Fluid Systems and Related Topics$b[electronic resource] 210 $aSingapore $cWorld Scientific Publishing Company$d2009 215 $a1 online resource (401 p.) 225 1 $aSeries in Contemporary Applied Mathematics, 13 300 $aDescription based upon print version of record. 311 $a981-4273-27-9 327 $aPreface; Contents; Thomas Y. Hou, Xinwei Yu: Introduction to the Theory of Incompressible Inviscid Flows; 1 Introduction; 2 Derivation and exact solutions; 3 Local well-posedness of the 3D Euler equation; 4 The BKM blow-up criterion; 5 Recent global existence results; 6 Lower dimensional models for the 3D Euler equations; 7 Vortex patch; References; Denis Serre: Systems of Conservation Laws. Theory, Numerical Approximation and Discrete Shock Profiles.; 1 Hyperbolic systems of conservation laws; 2 Finite difference schemes; 3 Discrete shock profiles; References 327 $aSeiji Ukai, Tong Yang: Kinetic Theory and Conservation Laws: An Introduction.Abstract; 1 Introduction; 2 Expansions and their unification; 3 Detour to hyperbolic conservation laws; 4 Spectral analysis on the linearized Boltzmann operator; 5 Global existence and convergence rates; References; Xiaoming Wang: Elementary Statistical Theories with Applications to Fluid Systems.; 1 Introduction; 2 Stationary statistics; 3 Remarks on time dependent statistics; Appendix: some useful theorems; References; Yuxi Zheng: The Compressible Euler System in Two Space Dimensions.; Introduction 327 $a1 Physical phenomena and mathematical problems2 Characteristic decomposition of the pseudo-steady case; 3 The hodograph transformation and the interaction of rarefaction waves; Appendix B: convertibility; 4 Local solutions for quasilinear systems; 5 Invariant regions for systems; 6 The pressure gradient system; 7 Open problems; Epilogue: Stories; References 330 $aThis book is a collection of lecture notes on Nonlinear Conservation Laws, Fluid Systems and Related Topics delivered at the 2007 Shanghai Mathematics Summer School held at Fudan University, China, by world's leading experts in the field. The volume comprises five chapters that cover a range of topics from mathematical theory and numerical approximation of both incompressible and compressible fluid flows, kinetic theory and conservation laws, to statistical theories for fluid systems. Researchers and graduate students who want to work in this field will benefit from this essential reference as 410 0$aSeries in Contemporary Applied Mathematics, 13 606 $aConservation laws (Mathematics) 606 $aFluid dynamics -- Mathematics 606 $aNonlinear theories 606 $aFluid dynamics$xMathematics 606 $aConservation laws (Mathematics) 606 $aNonlinear theories 606 $aEngineering & Applied Sciences$2HILCC 606 $aApplied Physics$2HILCC 608 $aElectronic books. 615 4$aConservation laws (Mathematics). 615 4$aFluid dynamics -- Mathematics. 615 4$aNonlinear theories. 615 0$aFluid dynamics$xMathematics 615 0$aConservation laws (Mathematics) 615 0$aNonlinear theories 615 7$aEngineering & Applied Sciences 615 7$aApplied Physics 676 $a532.00151 702 $aChen$b Gui-Qiang$f1963- 702 $aLiu$b Chun 702 $aLi$b Daqian 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910456704603321 996 $aNonlinear Conservation Laws, Fluid Systems and Related Topics$92476982 997 $aUNINA