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200 10$aMathematical Theory of Compressible Viscous Fluids $eAnalysis and Numerics /$fby Eduard Feireisl, Trygve G. Karper, Milan Pokorný
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016.
215   $a1 online resource (XII, 186 p. 15 illus.) 
225 1 $aLecture Notes in Mathematical Fluid Mechanics,$x2510-1374
311   $a3-319-44834-X 
311   $a3-319-44835-8 
320   $aIncludes bibliographical references and index.
327   $aPreliminaries, notation, spaces of functions -- Part I Mathematics of compressible fluid flows -- Part II Existence of weak solutions via a numerical method -- Part III Existence theory for general pressure.
330   $aThis book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical tools needed to handle well-posedness of the underlying Navier-Stokes system, study the problems of sequential stability, and, lastly, construct solutions by means of an implicit numerical scheme. Offering a unique contribution ? by exploring in detail the ?synergy? of analytical and numerical methods ? the book offers a valuable resource for graduate students in mathematics and researchers working in mathematical fluid mechanics.  Mathematical fluid mechanics concerns problems that are closely connected to real-world applications and is also an important part of the theory of partial differential equations and numerical analysis in general. This book highlights the fact that numerical and mathematical analysis are not two separate fields of mathematics. It will help graduate students and researchers to not only better understand problems in mathematical compressible fluid mechanics but also to learn something from the field of mathematical and numerical analysis and to see the connections between the two worlds. Potential readers should possess a good command of the basic tools of functional analysis and partial differential equations including the function spaces of Sobolev type.  .
410  0$aLecture Notes in Mathematical Fluid Mechanics,$x2510-1374
606   $aPartial differential equations
606   $aNumerical analysis
606   $aPhysics
606   $aFourier analysis
606   $aFunctional analysis
606   $aMathematical physics
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120
615  0$aPartial differential equations.
615  0$aNumerical analysis.
615  0$aPhysics.
615  0$aFourier analysis.
615  0$aFunctional analysis.
615  0$aMathematical physics.
615 14$aPartial Differential Equations.
615 24$aNumerical Analysis.
615 24$aMathematical Methods in Physics.
615 24$aFourier Analysis.
615 24$aFunctional Analysis.
615 24$aMathematical Applications in the Physical Sciences.
676   $a515.353
700   $aFeireisl$b Eduard$4aut$4http://id.loc.gov/vocabulary/relators/aut$0472389
702   $aKarper$b Trygve G$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aPokorný$b Milan$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910155324503321
996   $aMathematical Theory of Compressible Viscous Fluids$92106909
997   $aUNINA