Stability is a very important property of mathematical models simulating physical processes which provides an adequate description of the process. Startingfrom 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 ofaveraged models, etc. The stability property is of great interest for researchers in many fields such as mathematical analysis, theory of partial differential equations, optimal control, numerical analysis, fluid mechanics, etc. etc.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: Justifying Asymptotics for 3D Water–Waves, David Lannes.- Generalized Solutions of the Cauchy Problem for a Transport Equation with Discontinuous Coefficients, Evgenii Panov.- Irreducible Chapman–Enskog Projections and Navier–Stokes Approximations, Evgenii Radkevich.- Exponential Mixing for RandomlyForced Partial Differential Equations: Method of Coupling, Armen Shirikyan.- On Problem of Stability of Equilibrium Figures of Uniformly Rotating Viscous Incompressible Liquid, Vsevolod Solonnikov.- Weak Spatially Nondecaying Solutions of 3D Navier–Stokes Equations in Cylindrical Domains, Sergey Zelik.- On Global in Time Properties of the Symmetric Compressible Barotropic Navier–Stokes-Poisson Flows in a Vacuum, Alexander Zlotnik.
- ISBN: 978-0-387-75218-1
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 400
- Fecha Publicación: 01/02/2008
- Nº Volúmenes: 1
- Idioma: Inglés