Ebook: Instability in Models Connected with Fluid Flows II
- Tags: Analysis, Calculus of Variations and Optimal Control, Optimization, Computational Mathematics and Numerical Analysis, Partial Differential Equations, Theoretical and Applied Mechanics, Mechanics Fluids Thermodynamics
- Series: International Mathematical Series 7
- Year: 2008
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
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)
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)
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)
Content:
Front Matter....Pages I-XXII
Justifying Asymptotics for 3D Water–Waves....Pages 1-22
Generalized Solutions of the Cauchy Problem for a Transport Equation with Discontinuous Coefficients....Pages 23-84
Irreducible Chapman–Enskog Projections and Navier–Stokes Approximations....Pages 85-153
Exponential Mixing for Randomly Forced Partial Differential Equations: Method of Coupling....Pages 155-188
On Problem of Stability of Equilibrium Figures of Uniformly Rotating Viscous Incompressible Liquid....Pages 189-254
Weak Spatially Nondecaying Solutions of 3D Navier–Stokes Equations in Cylindrical Domains....Pages 255-327
On Global in Time Properties of the Symmetric Compressible Barotropic Navier–Stokes–Poisson Flows in a Vacuum....Pages 329-376
Back Matter....Pages 377-378
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)
Content:
Front Matter....Pages I-XXII
Justifying Asymptotics for 3D Water–Waves....Pages 1-22
Generalized Solutions of the Cauchy Problem for a Transport Equation with Discontinuous Coefficients....Pages 23-84
Irreducible Chapman–Enskog Projections and Navier–Stokes Approximations....Pages 85-153
Exponential Mixing for Randomly Forced Partial Differential Equations: Method of Coupling....Pages 155-188
On Problem of Stability of Equilibrium Figures of Uniformly Rotating Viscous Incompressible Liquid....Pages 189-254
Weak Spatially Nondecaying Solutions of 3D Navier–Stokes Equations in Cylindrical Domains....Pages 255-327
On Global in Time Properties of the Symmetric Compressible Barotropic Navier–Stokes–Poisson Flows in a Vacuum....Pages 329-376
Back Matter....Pages 377-378
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