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Instability in Models Connected with Fluid Flows I
ISBN-13:
9780387752174
Veröffentl:
2007
Seiten:
364
Autor:
Claude Bardos
Serie:
6, International Mathematical Series
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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.
"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 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.
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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