Séminaires et Congrès 2007; 332 pp; softcover Number: 15 ISBN10: 2856292372 ISBN13: 9782856292372 List Price: US$96 Member Price: US$76.80 Order Code: SECO/15
 This volume contains expanded versions of lecture notes of CIMPA's school held in Lanzhou in July 2004. These texts offer a detailed survey, including the most recent advances, of some topics in analysis of partial differential equations arising from physics, mechanics and geometry such as Kortewegde Vries equation, harmonic maps, Birkhoff normal form and KAM theorem for infinite dimensional dynamical systems, vorticity of Euler equation, semiclassical analysis of Schrödinger and Dirac equations, and limiting situations of semilinear elliptic equations. They are mainly aimed at students and young researchers interested in these subjects. A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list. Readership Graduate students and research mathematicians interested in differential equations. Table of Contents  B. Grébert  Birkhoff normal form and Hamiltonian PDEs
 F. Hélein  Four lambda stories, an introduction to completely integrable systems
 D. Iftimie  Large time behavior in perfect incompressible flows
 D. Robert  Propagation of coherent states in quantum mechanics and applications
 W.M. Wang  Stability of quantum harmonic oscillator under time quasiperiodic perturbation
 X. P. Wang  Microlocal estimates of the stationary Schrödinger equation in semiclassical limit
 D. Ye  Some limiting situations for semilinear elliptic equations
