TY - BOOK AU - Bardos,Claude AU - Fursikov,Andrei ED - SpringerLink (Online service) TI - Instability in Models Connected with Fluid Flows II T2 - International Mathematical Series, SN - 9780387752198 AV - TA357-359 U1 - 620.1064 23 PY - 2008/// CY - New York, NY PB - Springer New York KW - Engineering KW - Mathematical analysis KW - Analysis (Mathematics) KW - Partial differential equations KW - Computer mathematics KW - Calculus of variations KW - Mechanics KW - Mechanics, Applied KW - Fluid mechanics KW - Engineering Fluid Dynamics KW - Analysis KW - Calculus of Variations and Optimal Control; Optimization KW - Computational Mathematics and Numerical Analysis KW - Partial Differential Equations KW - Theoretical and Applied Mechanics N1 - 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 N2 - 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. Fields covered include: the free surface Euler (or water-wave) equations, the Cauchy problem for transport equations, irreducible Chapman--Enskog projections and Navier-Stokes approximations, randomly forced PDEs, stability of equilibrium figures of uniformly rotating viscous incompressible liquid, Navier-Stokes equations in cylindrical domains, Navier-Stokes-Poisson flows in a vacuum. Contributors include: David Lannes (France); Evgenii Panov (Russia); Evgenii Radkevich (Russia); Armen Shirikyan (France); Vsevolod Solonnikov (Italy-Russia); Sergey Zelik (UK); Alexander Zlotnik (Russia) UR - http://dx.doi.org/10.1007/978-0-387-75219-8 ER -