LEADER 03453nam 22006135 450 001 9910835062603321 005 20251113190651.0 010 $a9783031425257 010 $a3031425251 024 7 $a10.1007/978-3-031-42525-7 035 $a(MiAaPQ)EBC31137052 035 $a(Au-PeEL)EBL31137052 035 $a(DE-He213)978-3-031-42525-7 035 $a(CKB)30327224000041 035 $a(OCoLC)1420919211 035 $a(EXLCZ)9930327224000041 100 $a20240210d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Riemann Problem in Continuum Physics /$fby Philippe G. LeFloch, Mai Duc Thanh 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (410 pages) 225 1 $aApplied Mathematical Sciences,$x2196-968X ;$v219 311 08$a9783031425240 311 08$a3031425243 327 $a1 Overview of this monograph -- 2 Models arising in fluid and solid dynamics -- 3 Nonlinear hyperbolic systems of balance laws -- 4 Riemann problem for ideal fluids -- 5 Compressible fluids governed by a general equation of state -- 6 Nonclassical Riemann solver with prescribed kinetics. The hyperbolic regime -- 7 Nonclassical Riemann solver with prescribed kinetics. The hyperbolic-elliptic regime -- 8 Compressible fluids in a nozzle with discontinuous cross-section. Isentropic flows -- 9 Compressible fluids in a nozzle with discontinuous cross-section. General flows -- 10 Shallow water flows with discontinuous topography -- 11 Shallow water flows with temperature gradient -- 12 Baer-Nunziato model of two-phase flows -- References -- Index. 330 $aThis monograph provides a comprehensive study of the Riemann problem for systems of conservation laws arising in continuum physics. It presents the state-of-the-art on the dynamics of compressible fluids and mixtures that undergo phase changes, while remaining accessible to applied mathematicians and engineers interested in shock waves, phase boundary propagation, and nozzle flows. A large selection of nonlinear hyperbolic systems is treated here, including the Saint-Venant, van der Waals, and Baer-Nunziato models. A central theme is the role of the kinetic relation for the selection of under-compressible interfaces in complex fluid flows. This book is recommended to graduate students and researchers who seek new mathematical perspectives on shock waves and phase dynamics. 410 0$aApplied Mathematical Sciences,$x2196-968X ;$v219 606 $aMathematics$xData processing 606 $aMathematical physics 606 $aFluid mechanics 606 $aComputational Mathematics and Numerical Analysis 606 $aMathematical Physics 606 $aEngineering Fluid Dynamics 615 0$aMathematics$xData processing. 615 0$aMathematical physics. 615 0$aFluid mechanics. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aMathematical Physics. 615 24$aEngineering Fluid Dynamics. 676 $a518 700 $aLeFloch$b Philippe G$0622141 701 $aThanh$b Mai Duc$01740940 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910835062603321 996 $aRiemann Problem in Continuum Physics$94208925 997 $aUNINA