信息科學技術學院數學系學術講座(七十四)

發布單位:成果專利綜合科 [2019-12-09 11:46:42] 打印此信息

題目:Global Weak Solutions to Landau-Lifshitz Equations into Compact Lie Algebras

內容簡介:In this paper, we consider a parabolic system from a bounded domain in a Euclidean space or a closed Riemannian manifold into a unit sphere in a compact Lie algebra ?, which can be viewed as the extension of Landau-Lifshtiz (LL) equation and was proposed by V. Arnold. We follow the ideas taken from the work by the second author to show the existence of global weak solutions to the Cauchy problems of such Landau-Lifshtiz equations from an n-dimensional closed Riemannian manifold T or a bounded domain in Rn into a unit sphere S?(1) in ?. In particular, we consider the Hamiltonian system associated with the nonlocal energy--micromagnetic energy defined on a bounded domain of R3 and show the initial-boundary value problem to such LL equation without damping terms admits a global weak solution. The key ingredient of this article consists of the choices of test functions and approximate equations.

報告人:廣州大學、中國科學院王友德  教授

  間:2019129日(周一)下午300

  點:南海樓三樓數學系師生研討室

 

熱烈歡迎廣大師生參加!

 

 

信息科學技術學院

2019129



贵州体彩网-首页 鞍山市 | 原平市 | 永定县 | 敖汉旗 | 库尔勒市 | 忻城县 | 邵武市 | 道真 | 义乌市 | 石狮市 | 漳平市 | 马关县 | 兴业县 | 临邑县 | 桦川县 | 修武县 | 延边 | 连山 | 拉孜县 | 镇巴县 | 理塘县 | 藁城市 | 保亭 | 丽江市 | 铜山县 | 武功县 |