Abstract
In this paper, we study the hydro-dynamic limit of the finite Ginzburg-Landau wave vortices, which was established in [6]. We prove here that the densities approximated by the vortex blob method associated with the Ginzburg-Landau wave vortices tend to the solutions of the pressure-less compressible Euler-Poisson equations before the formation of singularities in the limit system as the blob sizes and the grid sizes tend to zero in appropriate rates.
Original language | English (US) |
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Title of host publication | Ginzburg-landau Vortices |
Publisher | World Scientific Publishing Co. |
Pages | 157-163 |
Number of pages | 7 |
ISBN (Electronic) | 9789812701183 |
DOIs | |
State | Published - Jan 1 2005 |
ASJC Scopus subject areas
- General Mathematics