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＜電子ブック＞
Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models / by Franck Boyer, Pierre Fabrie
(Applied Mathematical Sciences. ISSN:2196968X ; 183)

版	1st ed. 2013.
出版者	New York, NY : Springer New York : Imprint: Springer
出版年	2013
本文言語	英語
大きさ	XIV, 526 p : online resource
著者標目	*Boyer, Franck author Fabrie, Pierre author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Fluid mechanics LCSH:Continuum mechanics FREE:Differential Equations FREE:Engineering Fluid Dynamics FREE:Continuum Mechanics
一般注記	Preface -- Contents -- The equations of fluid mechanics -- Analysis tools -- Sobolev spaces -- Steady Stokes equations -- Navier-Stokes equations for homogeneous fluids -- Nonhomogeneous fluids -- Boundary conditions modeling -- Classic differential operators -- Thermodynamics supplement -- References -- Index The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mathematical tools so that the reader is able to use them for studying many other kinds of partial differential equations, in particular nonlinear evolution problems. The background needed are basic results in calculus, integration, and functional analysis. Some sections certainly contain more advanced topics than others. Nevertheless, the authors’ aim is that graduate or PhD students, as well as researchers who are not specialized in nonlinear analysis or in mathematical fluid mechanics, can find a detailed introduction to this subject HTTP:URL=https://doi.org/10.1007/978-1-4614-5975-0

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