Ginzburg-Landau vortices with pinning functions and self-similar solutions in harmonic maps

• 作 者: JIAN Huaiyu WANG Youde
• 机 构: Department of Mathematical Sciences,Institute of Mathematics
• 出 处: 中国科学A辑（英文版）
• 发表日期: 2004年期
• 关键词: vortex Ginzburg-Landau equation harmonic map elliptic estimate
• 基金项目: 国家自然科学基金

We obtain the H1-compactness for a system of Ginzburg-Landau equations with pinning functions and prove that the vortices of its classical solutions are attracted to the minimum points of the pinning functions. As a corollary, we construct a self-similar solution in the evolution of harmonic maps.