Instability in Models Connected with Fluid Flows I

Editat de Claude Bardos, Andrei V Fursikov

en Limba Engleză Hardback – 18 dec 2007

Includes subjects that relate largely to mathematical aspects of the theory. This title presents some novel schemes used in applied mathematics. It covers various topics from control theory, including Navier-Stokes equations.

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Specificații

ISBN-13: 9780387752167
ISBN-10: 0387752161
Pagini: 364
Ilustrații: XXXVI, 364 p.
Dimensiuni: 167 x 246 x 34 mm
Greutate: 0.72 kg
Ediția:2008 edition
Editura: Springer
Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

Solid Controllability in Fluid Dynamics.- Analyticity of Periodic Solutions of the 2D Boussinesq System.- Nonlinear Dynamics of a System of Particle-Like Wavepackets.- Attractors for Nonautonomous Navier–Stokes System and Other Partial Differential Equations.- Recent Results in Large Amplitude Monophase Nonlinear Geometric Optics.- Existence Theorems for the 3D–Navier–Stokes System Having as Initial Conditions Sums of Plane Waves.- Bursting Dynamics of the 3D Euler Equations in Cylindrical Domains.- Increased Stability in the Cauchy Problem for Some Elliptic Equations.

Textul de pe ultima copertă

Instability in Models Connected with Fluid Flows I 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: controllability and accessibility properties of the Navier- Stokes and Euler systems, nonlinear dynamics of particle-like wavepackets, attractors of nonautonomous Navier-Stokes systems, large amplitude monophase nonlinear geometric optics, existence results for 3D Navier-Stokes equations and smoothness results for 2D Boussinesq equations, instability of incompressible Euler equations, increased stability in the Cauchy problem for elliptic equations.
Contributors include: Andrey Agrachev (Italy-Russia) and Andrey Sarychev (Italy); Maxim Arnold (Russia); Anatoli Babin (USA) and Alexander Figotin (USA); Vladimir Chepyzhov (Russia) and Mark Vishik (Russia); Christophe Cheverry (France); Efim Dinaburg (Russia) and Yakov Sinai (USA-Russia); Francois Golse (France), Alex Mahalov (USA), and Basil Nicolaenko (USA); Victor Isakov (USA)

Caracteristici

A unique collection of papers of leading specialists presenting the very recent results and advantages in the main directions of stability theory in connection with fluid flows Includes supplementary material: sn.pub/extras

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