In this authoritative and comprehensive volume, Claude Bardos and Andrei Fursikov have drawn together an impressive array of international contributors to present important recent results and perspectives in this area. The main subjects that appear here relate largely to mathematical aspects of the theory but some novel schemes used in applied mathematics are also presented. Various topics from control theory, including Navier-Stokes equations, are covered.
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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)
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Key Phrases - Statistically Improbable Phrases (SIPs):
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solid controllability, nonlinear photonic crystals, translation compact function, uniform global attractor, curl eigenfunctions, resonance invariant, uniformly absorbing set, resonance invariance, uniformly attracting set, degenerate forcing, translation compact symbols, bursting dynamics, elementary susceptibilities, nonlinear geometric optics, nonautonomous evolution equations, oscillating external force, controlled vector fields, rationally independent frequencies, homoclinic cycles, particle wavepacket, low frequency zone, nonautonomous equations, global attractors, controlled forcing, compact functions Key Phrases - Capitalized Phrases (CAPs): (learn more)
Particle-Like Wavepackets, Alex Mahalov, Francois Golse, Fluid Dynamics, New York, Increased Stability, Basil Nicolaenko, Pures Appl, Paris Sér, Russian Math, Models Connected, International Mathematical Series, Fluid Flows, Boussinesq System, Victor Isakov, Cambridge Univ, Partial Differ, Using Theorem, Indiana Univ, Pure Appl, Using Lemma, Using Proposition, Christophe Cheverry, Inverse Probl, Juliusz Schauder Center Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
solid controllability, nonlinear photonic crystals, translation compact function, uniform global attractor, curl eigenfunctions, resonance invariant, uniformly absorbing set, resonance invariance, uniformly attracting set, degenerate forcing, translation compact symbols, bursting dynamics, elementary susceptibilities, nonlinear geometric optics, nonautonomous evolution equations, oscillating external force, controlled vector fields, rationally independent frequencies, homoclinic cycles, particle wavepacket, low frequency zone, nonautonomous equations, global attractors, controlled forcing, compact functions Key Phrases - Capitalized Phrases (CAPs): (learn more)
Particle-Like Wavepackets, Alex Mahalov, Francois Golse, Fluid Dynamics, New York, Increased Stability, Basil Nicolaenko, Pures Appl, Paris Sér, Russian Math, Models Connected, International Mathematical Series, Fluid Flows, Boussinesq System, Victor Isakov, Cambridge Univ, Partial Differ, Using Theorem, Indiana Univ, Pure Appl, Using Lemma, Using Proposition, Christophe Cheverry, Inverse Probl, Juliusz Schauder Center Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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