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Mathematical theory of compressible viscous fluids: analysis and numerics

This 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...

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Detalles Bibliográficos
Autores principales: Feireisl, Eduard, Karper, Trygve G, Pokorný, Milan
Lenguaje:eng
Publicado: Springer 2016
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-44835-0
http://cds.cern.ch/record/2237374
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author Feireisl, Eduard
Karper, Trygve G
Pokorný, Milan
author_facet Feireisl, Eduard
Karper, Trygve G
Pokorný, Milan
author_sort Feireisl, Eduard
collection CERN
description This 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. .
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spelling cern-22373742021-04-21T19:25:58Zdoi:10.1007/978-3-319-44835-0http://cds.cern.ch/record/2237374engFeireisl, EduardKarper, Trygve GPokorný, MilanMathematical theory of compressible viscous fluids: analysis and numericsMathematical Physics and MathematicsThis 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. .Springeroai:cds.cern.ch:22373742016
spellingShingle Mathematical Physics and Mathematics
Feireisl, Eduard
Karper, Trygve G
Pokorný, Milan
Mathematical theory of compressible viscous fluids: analysis and numerics
title Mathematical theory of compressible viscous fluids: analysis and numerics
title_full Mathematical theory of compressible viscous fluids: analysis and numerics
title_fullStr Mathematical theory of compressible viscous fluids: analysis and numerics
title_full_unstemmed Mathematical theory of compressible viscous fluids: analysis and numerics
title_short Mathematical theory of compressible viscous fluids: analysis and numerics
title_sort mathematical theory of compressible viscous fluids: analysis and numerics
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-44835-0
http://cds.cern.ch/record/2237374
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