報告人：Cristinel Mardare副教授
報告題目：Polyconvexity and existence theory in nonlinear elasticity
報告時間：2019年1月4日（周五）上午10:00-12:00
報告地點：教九樓617報告廳
報告摘要:
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.
報告人簡介：
Cristinel Mardare,法國巴黎索邦大學副教授。主要研究方向是數學彈性殼體理論、微分幾何、泛函分析和偏微分方程理論。
