國立虎尾科技大學 |

Mathematical theory of compressible viscous fluids = analysis and numerics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Mathematical theory of compressible viscous fluids/ by Eduard Feireisl, Trygve G. Karper, Milan Pokorny.
其他題名:	analysis and numerics /
作者:	Feireisl, Eduard.
其他作者:	Karper, Trygve G.
出版者:	Cham :Springer International Publishing : : 2016.,
面頁冊數:	xii, 186 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Viscous flow - Mathematics. -
電子資源:	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:

1115813
Viscous flow
--Mathematics.

LC Class. No.: TA357.5.V56

Dewey Class. No.: 532.0533

Mathematical theory of compressible viscous fluids = analysis and numerics /
LDR:02730nam a2200325 a 4500 001 868293
003 DE-He213
005 20161126110807.0
006 m d
007 cr nn 008maaau
008 170720s2016 gw s 0 eng d
020 $a 9783319448350 $q (electronic bk.)
020 $a 9783319448343 $q (paper)
024 7 $a 10.1007/978-3-319-44835-0 $2 doi
035 $a 978-3-319-44835-0
040 $a GP $c GP
041 0 $a eng
050 4 $a TA357.5.V56
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 532.0533 $2 23
090 $a TA357.5.V56 $b F299 2016
100 1 $a Feireisl, Eduard. $3 897661
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.
260 $a Cham : $c 2016. $b Springer International Publishing : $b Imprint: Birkhauser,
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.
650 0 $a Viscous flow $x Mathematics. $3 1115813
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Numerical Analysis. $3 671433
650 2 4 $a Mathematical Methods in Physics. $3 670749
650 2 4 $a Fourier Analysis. $3 672627
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 786649
700 1 $a Karper, Trygve G. $3 1115811
700 1 $a Pokorny, Milan. $3 1115812
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Advances in mathematical fluid mechanics. $3 1022521
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-44835-0
950 $a Mathematics and Statistics (Springer-11649)