Instability in Models Connected with Fluid Flows 1 (International Mathematical Series)

Bardos, Claude/ Fursikov, Andrei V.

Springer（2010/11発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 400 p.
• 言語 ENG
• 商品コード 9781441925862
• DDC分類 510

Full Description

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.

Contents

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.