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＜電子ブック＞
Mathematical Theory of Compressible Viscous Fluids : Analysis and Numerics / by Eduard Feireisl, Trygve G. Karper, Milan Pokorný
(Lecture Notes in Mathematical Fluid Mechanics. ISSN:25101382)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2016
大きさ	XII, 186 p. 15 illus : online resource
著者標目	*Feireisl, Eduard author Karper, Trygve G author Pokorný, Milan author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Numerical analysis LCSH:Mathematical physics LCSH:Fourier analysis LCSH:Functional analysis FREE:Differential Equations FREE:Numerical Analysis FREE:Mathematical Methods in Physics FREE:Fourier Analysis FREE:Functional Analysis FREE:Mathematical Physics
一般注記	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.   HTTP:URL=https://doi.org/10.1007/978-3-319-44835-0

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