Vortex annihilation in nonlinear heat flow for Ginzburg–Landau systems
- 1 April 1995
- journal article
- research article
- Published by Cambridge University Press (CUP) in European Journal of Applied Mathematics
- Vol. 6 (2) , 115-126
- https://doi.org/10.1017/s0956792500001728
Abstract
We consider the Cauchy problem for the system where . Let e ∈ ℝ2 with |e| = 1. If u(x, 0) is smooth, bounded and we prove u → e uniformly in x as t → ∞. Of particular interest is the motion of the zeros (vortices) of u. In this case, all zeros disappear after a finite time.Keywords
This publication has 2 references indexed in Scilit:
- Vortices in complex scalar fieldsPhysica D: Nonlinear Phenomena, 1990
- Linear and Quasi-linear Equations of Parabolic TypePublished by American Mathematical Society (AMS) ,1968