Nonlinear dynamics and renormalization group
著者
書誌事項
Nonlinear dynamics and renormalization group
（CRM proceedings & lecture notes, v. 27）
American Mathematical Society, c2001
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注記
Includes bibliographical references
"This volume contains the lectures delivered at the workshop 'Nonlinear Dynamics and Renormalization Group' that was held at the Centre de recherches mathématiques in Montréal in August 1999." -- Pref
内容説明・目次
内容説明
This book contains the proceedings from the workshop, Nonlinear Dynamics and Renormalization Group, held at the Centre de recherches mathematiques (CRM) in Montreal (Canada), as part of the year-long 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 Ginzburg-Landau equations and blow-up 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.
目次
Analysis of some macroscopic models of high-$T_c$ superconductivity by S. Alama and L. Bronsard The effect of distribution in space in Ostwald ripening by N. D. Alikakos and G. Fusco Mathematical problems in the control of underactuated systems by D. Auckly and L. Kapitanski Axially and helically symmetric global plasma equilibria by O. I. Bogoyavlenskij On the complete ionization of a periodically perturbed quantum system by O. Costin, J. L. Lebowitz, and A. Rokhlenko The sine-Gordon model at $\beta = 4\pi$ by J. Dimock Ground states of supersymmetric matrix models by G. M. Graf Some mathematical problems in the Ginzburg-Landau theory of superconductivity by S. J. Gustafson Renormalization in radiation reaction: New developments in classical electron theory by M. K.-H. Kiessling Singular limit of the modified nonlinear Schrodinger equation by C.-K. Lin Dynamics of quantum resonances by M. Merkli Nelson diffusions and blow-up phenomena in solutions of the nonlinear Schrodinger equation with critical power by H. Nawa Embedded solitons of the DSII equation by D. E. Pelinovsky and C. Sulem On the blow up phenomenon for the critical nonlinear Schrodinger equation in 1D by G. Perelman Vorticity for the Ginzburg-Landau model of superconductors in a magnetic field by S. Serfaty Dissipation through dispersion by A. Soffer Quantum tunneling at positive temperature by B. Vasilijevic.
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