Nonlinear PDE’s in Condensed Matter and Reactive Flows

I.- A two-species reaction-diffusion problem with one static reactant: the case of higher order kinetics.- The influence of advection on the propagation of fronts for reaction-diffusion equations.- Instabilities and Nonlinear Patterns of Overdriven Detonations in Gases.- Ends of Laminar Flamelets: Their Structure, Behaviour and Implications.- On some reaction-diffusion systems with nonlinear diffusion arising in biology.- Control of weakly blowing up semilinear heat equations.- Spirals in Excitable Media.- Conical-shaped travelling fronts allied to the mathematical analysis of the shape of premixed Bunsen flames.- Numerical Modelling of High Speed and Low Speed Combustion.- Lectures on Wave Turbulence and Intermittency.- Overdetermined elliptic problems in physics.- Partial Differential Equations in thin film Flows in Fluid dynamics and rivulets.- II.- The Ginzburg-Landau system for superconducting thin films.- Symmetric Vortex solutions in the U(1) and SO(5) Ginzburg-Landau Models of Superconductivity.- Vortices and sound waves for the Gross-Pitaevskii equation.- A priori estimates for Ginzburg-Landau solutions.- Asymptotic Analysis of Models of Superconductivity.- Spatial Unfolding of Homoclinic Bifurcations.- Existence and long time behaviour of solutions for a homogeneous quantum Boltzmann equation.- Asymptotic behavior in a model of dispersive wave turbulence.- Some problems in superconductivity and reacting flow.- Finite time blow-up of solutions of kinetic equations and formation of Bose-Einstein condensate.- Second order phase transitions.- Vortex Analysis in the Ginzburg-Landau Model of Superconductivity.- On Chern-Simons vortex theory.