Instability in Models Connected with Fluid Flows I

Hardcover | December 18, 2007

EditorClaude Bardos, Andrei V. Fursikov

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The notions of stability and instability play a very important role in mathematical physics and, in particular, in mathematical models of fluids flows. Currently, one of the most important problems in this area is to describe different kinds of instability, to understand their nature, and also to work out methods for recognizing whether a mathematical model is stable or instable. In the current 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 topics covered are devoted to mathematical aspects of the theory but some novel schemes used in applied mathematics are also presented.Various topics from control theory, free boundary problems, Navier-Stokes equations, first order linear and nonlinear equations, 3D incompressible Euler equations, large time behavior of solutions, etc. are concentrated around the main goal of these volumes the stability (instability) of mathematical models, the very important property playing the key role in the investigation of fluid flows from the mathematical, physical, and computational points of view. World - known specialists present their new results, advantages in this area, different methods and approaches to the study of the stability of models simulating different processes in fluid mechanics.

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From the Publisher

The notions of stability and instability play a very important role in mathematical physics and, in particular, in mathematical models of fluids flows. Currently, one of the most important problems in this area is to describe different kinds of instability, to understand their nature, and also to work out methods for recognizing whethe...

From the Jacket

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, stochast...

Format:HardcoverDimensions:400 pages, 9.25 × 6.1 × 0.27 inPublished:December 18, 2007Publisher:Springer New YorkLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387752161

ISBN - 13:9780387752167

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Table of Contents

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