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【报告】理学院系列学术报告—法国巴黎索邦大学Cristinel Mardare副教授

放大字体  缩小字体 发布日期:2019-01-03  浏览次数:

报告人:Cristinel Mardare副教授

报告题目:Polyconvexity and existence theory in nonlinear elasticity

报告时间:2019年1月4日(周五)上午10:00-12:00

报告地点:教九楼617报告厅

报告摘要:

    In nonlinear elasticity, the deformation of a body subjected to applied forces can be found by solving a minimization problem. The functional whose minimum is to be found represents the total energy associated with any admissible deformation of the body and is necessarily non-convex. Thus establishing the existence of a minimizer for such a functional cannot rely on classical methods in Calculus of Variations. It relies instead on a weaker notion of convexity, called polyconvexity, which was introduced by J. Ball in a landmark paper in 1977. In this talk, I will give a brief presentation of Ball's theory and then will discuss recent advances in extending this theory from three-dimensional elasticity to two-dimensional shell theory.

报告人简介:

    Cristinel Mardare,法国巴黎索邦大学副教授。主要研究方向是数学弹性壳体理论、微分几何、泛函分析和偏微分方程理论。

 

 
 
 
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