LEADER 03240nam 22004935 450 001 996418257403316 005 20200630182913.0 010 $a3-319-10151-X 024 7 $a10.1007/978-3-319-10151-4 035 $a(CKB)3710000000909313 035 $a(DE-He213)978-3-319-10151-4 035 $a(PPN)242976190 035 $a(EXLCZ)993710000000909313 100 $a20190617d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHandbook of Mathematical Analysis in Mechanics of Viscous Fluids$b[electronic resource] /$fedited by Yoshikazu Giga, Antonin Novotny 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 327 $aPart 0 Derivation of Equations for incompressible and compressible fluids -- Modeling -- Part I Incompressible fluids -- Stokes approximation -- Steady viscous Newtonian fluids -- Unsteady viscous Newtonian fluids -- Regularity of nonstationary Navier-Stokes flow -- Mathematical theory for turbulence -- Incompressible fluids with various effects -- Free boundary problems -- Part II Compressible Fluids -- Equations and various concepts of solutions in the thermodynamics of compressible fluids -- Solutions for the one dimensional flows in the non steady case -- Global existence of weak solutions in several dimensions and their qualitative properties -- Regularity theory in the multidimensional non steady case -- Existence theory for the compressible steady flows -- Scale analysis and hydrodynamic limits within the equations of compressible fluids -- Examples of coupled systems including compressible fluids.-. 330 $aMathematics has always played a key role for researches in fluid mechanics. The purpose of this handbook is to give an overview of items that are key to handling problems in fluid mechanics. Since the field of fluid mechanics is huge, it is almost impossible to cover many topics. In this handbook, we focus on mathematical analysis on viscous Newtonian fluid. The first part is devoted to mathematical analysis on incompressible fluids while part 2 is devoted to compressible fluids. 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aMathematical physics 606 $aFluids 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aMathematical physics. 615 0$aFluids. 615 14$aAnalysis. 615 24$aMathematical Physics. 615 24$aFluid- and Aerodynamics. 676 $a515 702 $aGiga$b Yoshikazu$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aNovotny$b Antonin$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a996418257403316 996 $aHandbook of Mathematical Analysis in Mechanics of Viscous Fluids$91564762 997 $aUNISA