Instability in Models Connected with Fluid Flows II [electronic resource] / edited by Claude Bardos, Andrei Fursikov.

Contributor(s): Bardos, Claude [editor.] | Fursikov, Andrei [editor.] | SpringerLink (Online service)
Material type: TextTextSeries: International Mathematical Series: 7Publisher: New York, NY : Springer New York, 2008Description: XXII, 378 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9780387752198Subject(s): Engineering | Mathematical analysis | Analysis (Mathematics) | Partial differential equations | Computer mathematics | Calculus of variations | Mechanics | Mechanics, Applied | Fluid mechanics | Engineering | Engineering Fluid Dynamics | Analysis | Calculus of Variations and Optimal Control; Optimization | Computational Mathematics and Numerical Analysis | Partial Differential Equations | Theoretical and Applied MechanicsAdditional physical formats: Printed edition:: No titleDDC classification: 620.1064 LOC classification: TA357-359Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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).
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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.

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).

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