本课题研究Bose-Einstein凝聚(BEC)等相关问题的涡旋集的几何性质及其动力学行为,这一问题与几何流方程有密切联系;研究几何发展方程特别是BEC以及超导中涡旋运动所满足的曲率流方程的大范围解存在性以及收敛性、解的奇性分析等问题。它们有强烈的物理背景。这些问题是当前微分几何以及偏微分方程领域非常活跃的课题,研究这些问题能更好地理解几何与物理的关系。
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数据更新时间:2023-05-31
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