Vanishing of solutions of diffusion equation with convection and absorption.
Vortex motion and phase-vortex interaction in dissipative Ginzburg-Landau dynamics
We discuss the asymptotics of the parabolic Ginzburg-Landau equation in dimension Our only asumption on the initial datum is a natural energy bound. Compared to the case of “well-prepared” initial datum, this induces possible new energy modes which we analyze, and in particular their mutual interaction. The two dimensional case is qualitatively different and requires a separate treatment.
Vorzeichenstabile Differenzenverfahren für parabolische Anfangsrandwertaufgaben.