Includes bibliographical references.

Analysis of some macroscopic models of high- _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 Schrodinger equation ; Dynamics of quantum resonances ; Nelson diffusions and blow-up phenomena in solutions of the nonlinear Schrodinger equation with critical power ; Embedded solitons of the DSII equation ; On the blow up phenomenon for the critical nonlinear Schrodinger equation in 1D ; Vorticity for the Ginzburg-Landau model of superconductors in a magnetic field ; Dissipation through dispersion ; Quantum tunneling at positive temperature