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Softcover ISBN:  9780821828021 
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Softcover ISBN:  9780821828021 
Product Code:  CRMP/27 
List Price:  $81.00 
MAA Member Price:  $72.90 
AMS Member Price:  $64.80 
eBook ISBN:  9781470439415 
Product Code:  CRMP/27.E 
List Price:  $76.00 
MAA Member Price:  $68.40 
AMS Member Price:  $60.80 
Softcover ISBN:  9780821828021 
eBook ISBN:  9781470439415 
Product Code:  CRMP/27.B 
List Price:  $157.00 $119.00 
MAA Member Price:  $141.30 $107.10 
AMS Member Price:  $125.60 $95.20 

Book DetailsCRM Proceedings & Lecture NotesVolume: 27; 2001; 192 ppMSC: Primary 35; Secondary 70; 82; 81; 37;
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.
ReadershipGraduate students and research mathematicians interested in partial differential equations and mathematical physics.

Table of Contents

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 sineGordon model at $\beta = 4\pi $

Ground states of supersymmetric matrix models

Some mathematical problems in the GinzburgLandau 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 blowup 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 GinzburgLandau model of superconductors in a magnetic field

Dissipation through dispersion

Quantum tunneling at positive temperature


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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.
Graduate students and research mathematicians interested in partial differential equations and mathematical physics.

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 sineGordon model at $\beta = 4\pi $

Ground states of supersymmetric matrix models

Some mathematical problems in the GinzburgLandau 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 blowup 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 GinzburgLandau model of superconductors in a magnetic field

Dissipation through dispersion

Quantum tunneling at positive temperature