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Nonlinear Dynamics and Renormalization Group

About this Title

I. M. Sigal, University of Toronto, Toronto, ON, Canada and C. Sulem, University of Toronto, Toronto, ON, Canada, Editors

Publication: CRM Proceedings and Lecture Notes
Publication Year: 2001; Volume 27
ISBNs: 978-0-8218-2802-1 (print); 978-1-4704-3941-5 (online)
DOI: https://doi.org/10.1090/crmp/027
MathSciNet review: MR1829161
MSC: Primary 00B25; Secondary 35-06, 81-06

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Table of Contents

Front/Back Matter

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Chapters

• Analysis of some macroscopic models of high-$T_c$ superconductivity
• The effect of distribution in space in Ostwald ripening
• Mathematical problems in the control of underactuated systems
• Axially and helically symmetric global plasma equilibria
• On the complete ionization of a periodically perturbed quantum system
• The sine-Gordon model at $\beta = 4\pi $
• Ground states of supersymmetric matrix models
• Some mathematical problems in the Ginzburg-Landau theory of superconductivity
• Renormalization in radiation reaction: New developments in classical electron theory
• Singular limit of the modified nonlinear Schrödinger equation
• Dynamics of quantum resonances
• Nelson diffusions and blow-up phenomena in solutions of the nonlinear Schrödinger equation with critical power
• Embedded solitons of the DSII equation
• On the blow up phenomenon for the critical nonlinear Schrödinger equation in 1D
• Vorticity for the Ginzburg-Landau model of superconductors in a magnetic field
• Dissipation through dispersion
• Quantum tunneling at positive temperature

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