Instability in Models Connected with Fluid Flows II

1. Auflage. Softcover version of original hardcover Auflage 2008
ISBN: 978-1-4419-2587-9
Verlag: Springer

Buch, Englisch, Band 7, 378 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 604 g

Reihe: International Mathematical Series

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.

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. The variety of recent results, surveys, methods and approaches to different models presented by leading world-known mathematicians, makes both volumes devoted to the stability and instability of mathematical models in fluid mechanics very attractive for provisional buyers/readers working in the above mentioned and related areas.

Zielgruppe

Research

Autoren/Hrsg.

Fursikov, Andrei V.

Bardos, Claude

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre

Inhaltsverzeichnis

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.