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＜電子ブック＞
Instability in Models Connected with Fluid Flows II / edited by Claude Bardos, Andrei V. Fursikov
(International Mathematical Series. ISSN:15748944 ; 7)

版	1st ed. 2008.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2008
本文言語	英語
大きさ	XXII, 378 p : online resource
著者標目	Bardos, Claude editor Fursikov, Andrei V editor SpringerLink (Online service)
件　名	LCSH:Fluid mechanics LCSH:Mathematical analysis LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Differential equations LCSH:Mechanics, Applied FREE:Engineering Fluid Dynamics FREE:Analysis FREE:Calculus of Variations and Optimization FREE:Computational Mathematics and Numerical Analysis FREE:Differential Equations FREE:Engineering Mechanics
一般注記	Justifying Asymptotics for 3D Water–Waves -- Generalized Solutions of the Cauchy Problem for a Transport Equation with Discontinuous Coefficients -- Irreducible Chapman–Enskog Projections and Navier–Stokes Approximations -- Exponential Mixing for Randomly Forced Partial Differential Equations: Method of Coupling -- On Problem of Stability of Equilibrium Figures of Uniformly Rotating Viscous Incompressible Liquid -- Weak Spatially Nondecaying Solutions of 3D Navier–Stokes Equations in Cylindrical Domains -- On Global in Time Properties of the Symmetric Compressible Barotropic Navier–Stokes–Poisson Flows in a Vacuum Instability in Models Connected with Fluid Flows II presents chapters from world renowned specialists. The stability of mathematical models simulating physical processes is discussed in topics on control theory, first order linear and nonlinear equations, water waves, free boundary problems, large time asymptotics of solutions, stochastic equations, Euler equations, Navier-Stokes equations, and other PDEs of fluid mechanics. Fields covered include: the free surface Euler (or water-wave) equations, the Cauchy problem for transport equations, irreducible Chapman--Enskog projections and Navier-Stokes approximations, randomly forced PDEs, stability of equilibrium figures of uniformly rotating viscous incompressible liquid, Navier-Stokes equations in cylindrical domains, Navier-Stokes-Poisson flows in a vacuum. Contributors include: David Lannes (France); Evgenii Panov (Russia); Evgenii Radkevich (Russia); Armen Shirikyan (France); Vsevolod Solonnikov (Italy-Russia); Sergey Zelik (UK); Alexander Zlotnik (Russia) HTTP:URL=https://doi.org/10.1007/978-0-387-75219-8

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