2002/11/21 by T. Zuyeva, Zuyeva, T.
Computer Science · Mathematics · #35Q55 #76Y05 #Advanced Mathematical Physics Problems #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #Numerical Analysis (math.NA) #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.math-ph/0211052
openalex publication_date 2002/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider two types of the time-dependent Ginzburg-Landau equation in 2D bounded domains: the heat-flow equation and the Schroedinger equation. The system of ordinary differential equations is obtained that describes the evolution of the vortices. It is shown that there exist the stationary points for the both types of the equations. The motion of the particles is studied and the examples of the trajectories are presented in the cases when the particles move like electric charges and hydrodynamic vortices.