Mathematical Research Letters

Volume 5, Issue 4, July 1998 pp. 455-460.

A unified approach to vortex motion laws of complex scalar field equations

Authors: F.-H. Lin and J. X. Xin
Author institution: New York University, and University of Arizona

Summary: In this short note, we give a unified rigorous derivation of vortex motion laws of nonlinear wave (NLW) and nonlinear heat (NLH) equations based on the fluid dynamic approach the authors recently developed in solving the nonlinear Schrödinger (NLS) equation. Hence in all three complex scalar field equations, the motion laws follow from the Euler-type equations, and the knowledge of the finite mass Radon defect measure.

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