On Certain Stability and Asymptotic Behaviors for a Degenerate Landau-Lifshitz Equation
讲座名称：
On Certain Stability and Asymptotic Behaviors for a Degenerate Landau-Lifshitz Equation
讲座时间：
2012-06-15
讲座人：
Baisheng Yan
形式：
校区：
兴庆校区
实践学分：
讲座内容：
应我院长江学者李亦教授邀请，Michigan大学：Baisheng Yan教授于6月11日至6月17日来我校进行学术访问。他将报告：
讲座题目：On Certain Stability and Asymptotic Behaviors for a Degenerate Landau-Lifshitz Equation
讲座时间：2012年6月15日 3：30pm-5：00 pm
讲座地点：理学院407
Abstract: The Landau-Lifshitz equations for ferromagnetism become degenerate if the regularizing term of exchange energy is absent in the total energy. In this talk, I discuss a special degenerate Landau-Lifshitz equation associated with only the nonlocal magnetostatic energy and study certain stability and asymptotic behaviors of solutions with given uniformly bounded initial data. It is known that the solutions are stable under the strong convergence of initial data. However, I show that the solutions are unstable under the weak* convergence of initial data. Furthermore, I provide an estimate on the weak* omega-limit sets for all initial data satisfying a saturation condition.
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