This is a unique collection of papers, all written by leading specialists, that presents the most recent results and advances in stability theory as it relates to fluid flows. The stability property is of great interest for researchers in many fields, including mathematical analysis, theory of partial differential equations, optimal control, numerical analysis, and fluid mechanics. This text will be essential reading for many researchers working in these fields.
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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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Key Phrases - Statistically Improbable Phrases (SIPs):
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transport equation, generalized entropy solution, nonequillibrium variables, small exponential growth rate, nondecaying solutions, dissipative estimate, weight gyp, renormalized solution, exponential mixing, renormalization property, quantization system, quadratic matrix equation, consolidated variables, generalized solution, zero initial data, cylindrical domains, ess lim, maximal coupling, random dynamical system, first hitting time, moment approximations, conservative variables, regularity estimate, unweighted case, weighted spaces Key Phrases - Capitalized Phrases (CAPs): (learn more)
Navier-Stokes Equations, Chapman-Enskog Projections, Stability of Equilibrium Figures, Vsevolod Solonnikov, Barotropic Navier-Stokes-Poisson Flows, Evgenii Radkevich, Evgenii Panov, Sergey Zelik, New York, Armen Shirikyan, Alexander Zlotnik, David Lannes, Models Connected, International Mathematical Series, Fluid Flows, Partial Differ, Fluid Mech, Pure Appl, World Sci, Kyoto Univ, Applying the Gronwall, Industrial Appl Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
transport equation, generalized entropy solution, nonequillibrium variables, small exponential growth rate, nondecaying solutions, dissipative estimate, weight gyp, renormalized solution, exponential mixing, renormalization property, quantization system, quadratic matrix equation, consolidated variables, generalized solution, zero initial data, cylindrical domains, ess lim, maximal coupling, random dynamical system, first hitting time, moment approximations, conservative variables, regularity estimate, unweighted case, weighted spaces Key Phrases - Capitalized Phrases (CAPs): (learn more)
Navier-Stokes Equations, Chapman-Enskog Projections, Stability of Equilibrium Figures, Vsevolod Solonnikov, Barotropic Navier-Stokes-Poisson Flows, Evgenii Radkevich, Evgenii Panov, Sergey Zelik, New York, Armen Shirikyan, Alexander Zlotnik, David Lannes, Models Connected, International Mathematical Series, Fluid Flows, Partial Differ, Fluid Mech, Pure Appl, World Sci, Kyoto Univ, Applying the Gronwall, Industrial Appl Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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