Title: Hidden convexity in a problem of nonlinear elasticity

Speaker: Professor Nassif Ghoussoub, University of British Columbia (Canada)

Beijing time: 10: 30--11: 30 am, Nov. 15th (Friday), 2024

Abstract: We study compressible and incompressible nonlinear elasticity variational problems in a general context. Our main result gives a sufficient condition for an equilibrium to be a global energy minimizer, in terms of convexity properties of the pressure in the deformed configuration. We also provide a convex relaxation of the problem together with its dual formulation, based on measure-valued mappings, which coincides with the original problem under our condition.

报告人简介：加拿大英属哥伦比亚大学数学教授、加拿大皇家科学院院士、加拿大总督功勋奖(Order of Canada)获得者，也是加拿大班芙国际研究站(BIRS)及加拿大太平洋数学研究所(PIMS)的创立者及首任负责人。1994年至1996年担任加拿大数学会副理事长，1998年至2006年担任国际数学联盟加拿大代表。主要从事非线性分析及偏微分方程等领域的理论与应用研究，解决了De Giorgi猜想等诸多世界数学难题，出版研究专著多部，在Ann. Math.、Bull. Amer. Math. Soc.、Mem. Amer. Math. Soc.、Proc. Natl. Acad. Sci.、Comm. Pure Appl. Math.等国际顶尖数学期刊上发表论文150余篇。