Instability in models connected with fluid flows
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書誌事項
Instability in models connected with fluid flows
（International mathematical series, v. 6,
Springer, c2008
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1 ISBN 9780387752167
内容説明
In this authoritative and comprehensive volume, Claude Bardos and Andrei Fursikov have drawn together an impressive array of international contributors to present important recent results and perspectives in this area. The main subjects that appear here relate largely to mathematical aspects of the theory but some novel schemes used in applied mathematics are also presented. Various topics from control theory, including Navier-Stokes equations, are covered.
目次
Preface, Claude Bardos and Andrei Fursikov.- Solid Controllability in Fluid Dynamics, Andrey Agrachev and Andrey Sarychev.- Analyticity of Periodic Solutions of the 2D Boussinesq System, Maxim Arnold.- Nonlinear Dynamics of a System of Particle-Like Wavepackets, Anatoli Babin and Aleksander Figotin.- Attractors for Nonautonomous Navier-Stokes System and Other Partial Differential Equations, Vladimir Chepyzhov and Mark Vishik.- Recent Results in Large Amplitude Monophase Nonlinear Geometric Optics, Christophe Cheverry.- Existence Theorems for the 3D-Navier-Stokes System Having as Initial Conditions Sums of Plane Waves, Efim Dinaburg and Yakov Sinai.- Bursting Dynamics of the 3D Euler Equations in Cylindrical Domains, Francois Golse, Alex Mahalov, and Basil Nicolaenko.- Increased Stability in the Cauchy Problem for Some Elliptic Equations, Victor Isakov
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2 ISBN 9780387752181
内容説明
This is a unique collection of papers, all written by leading specialists, that presents the most recent results and advances in stability theory as it relates to fluid flows. The stability property is of great interest for researchers in many fields, including mathematical analysis, theory of partial differential equations, optimal control, numerical analysis, and fluid mechanics. This text will be essential reading for many researchers working in these fields.
目次
Justifying Asymptotics for 3D Water-Waves, David Lannes.- Generalized Solutions of the Cauchy Problem for a Transport Equation with Discontinuous Coefficients, Evgenii Panov.- Irreducible Chapman-Enskog Projections and Navier-Stokes Approximations, Evgenii Radkevich.- Exponential Mixing for Randomly Forced Partial Differential Equations: Method of Coupling, Armen Shirikyan.- On Problem of Stability of Equilibrium Figures of Uniformly Rotating Viscous Incompressible Liquid, Vsevolod Solonnikov.- Weak Spatially Nondecaying Solutions of 3D Navier-Stokes Equations in Cylindrical Domains, Sergey Zelik.- On Global in Time Properties of the Symmetric Compressible Barotropic Navier-Stokes-Poisson Flows in a Vacuum, Alexander Zlotnik
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