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＜E-Book＞
Instability in Models Connected with Fluid Flows I / edited by Claude Bardos, Andrei V. Fursikov
(International Mathematical Series. ISSN:15748944 ; 6)

Edition	1st ed. 2008.
Publisher	(New York, NY : Springer New York : Imprint: Springer)
Year	2008
Language	English
Size	XXXVI, 364 p : online resource
Authors	Bardos, Claude editor Fursikov, Andrei V editor SpringerLink (Online service)
Subjects	LCSH:Fluid mechanics LCSH:Mathematical analysis LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Mathematics -- Data processing  All Subject Search 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
Notes	Solid Controllability in Fluid Dynamics -- Analyticity of Periodic Solutions of the 2D Boussinesq System -- Nonlinear Dynamics of a System of Particle-Like Wavepackets -- Attractors for Nonautonomous Navier–Stokes System and Other Partial Differential Equations -- Recent Results in Large Amplitude Monophase Nonlinear Geometric Optics -- Existence Theorems for the 3D–Navier–Stokes System Having as Initial Conditions Sums of Plane Waves -- Bursting Dynamics of the 3D Euler Equations in Cylindrical Domains -- Increased Stability in the Cauchy Problem for Some Elliptic Equations Instability in Models Connected with Fluid Flows I 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: controllability and accessibility properties of the Navier- Stokes and Euler systems, nonlinear dynamics of particle-like wavepackets, attractors of nonautonomous Navier-Stokes systems, large amplitude monophase nonlinear geometric optics, existence results for 3D Navier-Stokes equations and smoothness results for 2D Boussinesq equations, instability of incompressible Euler equations, increased stability in the Cauchy problem for elliptic equations. Contributors include: Andrey Agrachev (Italy-Russia) and Andrey Sarychev (Italy); Maxim Arnold (Russia); Anatoli Babin (USA) and Alexander Figotin (USA); Vladimir Chepyzhov (Russia) and Mark Vishik (Russia); Christophe Cheverry (France); Efim Dinaburg (Russia) and Yakov Sinai (USA-Russia); Francois Golse (France), Alex Mahalov (USA), and Basil Nicolaenko (USA); Victor Isakov (USA) HTTP:URL=https://doi.org/10.1007/978-0-387-75217-4

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