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Mathematical theory of compressible ...

Feireisl, Eduard.

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Mathematical theory of compressible viscous fluids = analysis and numerics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical theory of compressible viscous fluids/ by Eduard Feireisl, Trygve G. Karper, Milan Pokorny.
Reminder of title:	analysis and numerics /
Author:	Feireisl, Eduard.
other author:	Karper, Trygve G.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xii, 186 p. :ill., digital ;24 cm.
[NT 15003449]:	Preliminaries, 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.
Contained By:	Springer eBooks
Subject:	Viscous flow - Mathematics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-44835-0
ISBN:	9783319448350

Mathematical theory of compressible viscous fluids = analysis and numerics /
Feireisl, Eduard.

Mathematical theory of compressible viscous fluidsanalysis and numerics /[electronic resource] :by Eduard Feireisl, Trygve G. Karper, Milan Pokorny. - Cham :Springer International Publishing :2016. - xii, 186 p. :ill., digital ;24 cm. - Advances in mathematical fluid mechanics,2297-0320. - Advances in mathematical fluid mechanics..

Preliminaries, 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.

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.

ISBN: 9783319448350

Standard No.: 10.1007/978-3-319-44835-0doiSubjects--Topical Terms:

660719
Viscous flow
--Mathematics.

LC Class. No.: TA357.5.V56

Dewey Class. No.: 532.0533

Mathematical theory of compressible viscous fluids = analysis and numerics /
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245 1 0 $a Mathematical theory of compressible viscous fluids $h [electronic resource] : $b analysis and numerics / $c by Eduard Feireisl, Trygve G. Karper, Milan Pokorny.
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300 $a xii, 186 p. : $b ill., digital ; $c 24 cm.
490 1 $a Advances in mathematical fluid mechanics, $x 2297-0320
505 0 $a Preliminaries, 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.
520 $a 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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