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 roblems 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 resultsand perspectives in this area. The main topics covered are devoted to mathematical aspects of the theory but some novel schemes used in applied mathematicsare also presented. 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 INDICE: Preface, Claude Bardos and Andrei Fursikov.- Solid Controllabilityin 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.- ExistenceTheorems for the 3D–Navier–Stokes System Having as Initial Conditions Sums ofPlane 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.
- ISBN: 978-0-387-75216-7
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 400
- Fecha Publicación: 01/02/2008
- Nº Volúmenes: 1
- Idioma: Inglés