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Instability in Models Connected with Fluid Flows II
ISBN-13:
9780387752198
Veröffentl:
2007
Seiten:
378
Autor:
Claude Bardos
Serie:
7, International Mathematical Series
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
Instability in Models Connected with Fluid Flows II 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.
"Stability is a very important property of mathematical models simulating physical processes which provides an adequate description of the process. Starting from the classical notion of the well-posedness in the Hadamard sense, this notion was adapted to different areas of research and at present is understood, depending on the physical problem under consideration, as the Lyapunov stability of stationary solutions, stability of specified initial data, stability of averaged models, etc.
Justifying Asymptotics for 3D Water-Waves.- Generalized Solutions of the Cauchy Problem for a Transport Equation with Discontinuous Coefficients.- Irreducible Chapman-Enskog Projections and Navier-Stokes Approximations.- Exponential Mixing for Randomly Forced Partial Differential Equations: Method of Coupling.- On Problem of Stability of Equilibrium Figures of Uniformly Rotating Viscous Incompressible Liquid.- Weak Spatially Nondecaying Solutions of 3D Navier-Stokes Equations in Cylindrical Domains.- On Global in Time Properties of the Symmetric Compressible Barotropic Navier-Stokes-Poisson Flows in a Vacuum.
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