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Mathematical theory of compressible viscous fluids[electronic resource] :analysis and numerics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	532.0533
書名/作者:	Mathematical theory of compressible viscous fluids : analysis and numerics // by Eduard Feireisl, Trygve G. Karper, Milan Pokorny.
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:	Mathematical Methods in Physics.
標題:	Fourier Analysis.
標題:	Functional Analysis.
標題:	Mathematical Applications in the Physical Sciences.
標題:	Viscous flow - Mathematics.
標題:	Mathematics.
標題:	Partial Differential Equations.
標題:	Numerical Analysis.
ISBN:	9783319448350
ISBN:	9783319448343
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-44835-0

Mathematical theory of compressible viscous fluids[electronic resource] :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:

464098
Mathematical Methods in Physics.

LC Class. No.: TA357.5.V56

Dewey Class. No.: 532.0533

Mathematical theory of compressible viscous fluids[electronic resource] :analysis and numerics /
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