Vortices for the nonlinear wave equation

Tai-Chia Lin

doi:10.3934/dcds.1999.5.391

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1999, Volume 5, Issue 2: 391-398. Doi: 10.3934/dcds.1999.5.391

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Vortices for the nonlinear wave equation

Tai-Chia Lin^1,

1.
Department of Mathematics, Chung-Cheng University

Received: January 1998

Revised: October 1998

Published: April 1999

Abstract / Introduction Related Papers Cited by

Abstract

We derive the governing equations of vortices for the nonlinear wave equation. The initial data is a small perturbation of the symmetric vortex solution in the steady state Ginzburg-Landau equation. Then by the well-posedness of the nonlinear wave equation (cf. [12]) and the spectrum of the linearized operator for the Ginzburg-Landau equation (cf. [9], [8]), we obtain the local dynamic laws of vortices in a short time.

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Mathematics Subject Classification: 35061.

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