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.
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Includes subjects that relate largely to mathematical aspects of the theory. This title presents some novel schemes used in applied mathematics. It covers various topics from control theory, including Navier-Stokes equations.
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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.
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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)

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Title is also available as part of a set: Instability in Models Connected with Fluid Flows (978-0-387-75547-2)
A unique collection of papers of leading specialists presenting the very recent results and advantages in the main directions of stability theory in connection with fluid flows Includes supplementary material: sn.pub/extras
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GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
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Produktdetaljer

ISBN
9780387752167
Publisert
2007-12-18
Utgiver
Vendor
Springer-Verlag New York Inc.
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet