CRM Proceedings & Lecture Notes 2001; 192 pp; softcover Volume: 27 ISBN10: 0821828029 ISBN13: 9780821828021 List Price: US$72 Member Price: US$57.60 Order Code: CRMP/27
 This book contains the proceedings from the workshop, Nonlinear Dynamics and Renormalization Group, held at the Centre de recherches mathématiques (CRM) in Montréal (Canada), as part of the yearlong program devoted to mathematical physics. In the book, active researchers in the fields of nonlinear partial differential equations and renormalization group contribute recent results on topics such as GinzburgLandau equations and blowup of solutions of the nonlinear Schroedinger equations, quantum resonances, and renormalization group analysis in constructive quantum field theory. This volume offers the latest research in the rapidly developing fields of nonlinear equations and renormalization group. Titles in this series are copublished with the Centre de Recherches Mathématiques. Readership Graduate students and research mathematicians interested in partial differential equations and mathematical physics. Table of Contents  S. Alama and L. Bronsard  Analysis of some macroscopic models of high\(T_c\) superconductivity
 N. D. Alikakos and G. Fusco  The effect of distribution in space in Ostwald ripening
 D. Auckly and L. Kapitanski  Mathematical problems in the control of underactuated systems
 O. I. Bogoyavlenskij  Axially and helically symmetric global plasma equilibria
 O. Costin, J. L. Lebowitz, and A. Rokhlenko  On the complete ionization of a periodically perturbed quantum system
 J. Dimock  The sineGordon model at \(\beta = 4\pi\)
 G. M. Graf  Ground states of supersymmetric matrix models
 S. J. Gustafson  Some mathematical problems in the GinzburgLandau theory of superconductivity
 M. K.H. Kiessling  Renormalization in radiation reaction: New developments in classical electron theory
 C.K. Lin  Singular limit of the modified nonlinear Schrödinger equation
 M. Merkli  Dynamics of quantum resonances
 H. Nawa  Nelson diffusions and blowup phenomena in solutions of the nonlinear Schrödinger equation with critical power
 D. E. Pelinovsky and C. Sulem  Embedded solitons of the DSII equation
 G. Perelman  On the blow up phenomenon for the critical nonlinear Schrödinger equation in 1D
 S. Serfaty  Vorticity for the GinzburgLandau model of superconductors in a magnetic field
 A. Soffer  Dissipation through dispersion
 B. Vasilijevic  Quantum tunneling at positive temperature
