Vortex annihilation in nonlinear heat flow for Ginzburg–Landau systems-Reference-Cited by-同舟云学术

Vortex annihilation in nonlinear heat flow for Ginzburg–Landau systems

Published:1995-04 Issue:2 Volume:6 Page:115-126
ISSN:0956-7925
Container-title:European Journal of Applied Mathematics
language:en
Short-container-title:Eur. J. Appl. Math

Author:

Bauman Patricia,Chen Chao-Nien,Phillips Daniel,Sternberg Peter

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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Reference7 articles.

1. [PN] Pismen L. M. & Rubinstein J. Dynamics of Defects. (Preprint).

2. [FP] Fife P. C. & Peletier L. A. On the Location of Defects in Stationary Solutions of the Ginzburg–Landau Equations in ∝2. (Preprint).

3. [BMR] Brezis H. , Merle F. & Riviere T. Quantization Effects for −Δu = u(1−|u|2) in ∝2. (Preprint).

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