Ebook: Mechanics, analysis and geometry: 200 years after Lagrange

Providing a logically balanced and authoritative account of the different branches and problems of mathematical physics that Lagrange studied and developed, this volume presents up-to-date developments in differential goemetry, dynamical systems, the calculus of variations, and celestial and analytical mechanics.;Front Cover; Mechanics, Analysis and Geometry: 200 Years after Lagrange; Copyright Page; Table of Contents; Foreword; Part I: DYNAMICAL SYSTEMS; Chapter 1. Periodic Solutions near the Lagrange Equilibrium Points in the Restricted Three-Body Problem, for Mass Ratios near ; 1. Introduction; 2. A lemma on commuting vector fields; 3. Application to hamiltonian systems; 4. Application to the restricted three-body problem; References; Chapter 2. Lower Bound on the Dimension of the Attractor for the Navier-Stokes Equations in Space Dimension 3; 1. Introduction; 2. The two dimensional case.