Syracuse University was awarded a $225,845 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund research investigating the geometry and analysis of energy-minimizing deformations with applications to the study of nonlinear elasticity. The project aims to develop new analytic and geometric tools to model nonlinear elasticity while complying with the physical principle of non-interpenetration of matter. It will also provide research opportunities for early career mathematicians. Key activities include investigating weak limits of energy-minimizing Sobolev homeomorphisms and their characterization as monotone Sobolev mappings in two dimensions. The research seeks to deepen connections between geometric function theory and relevant areas of physics and engineering.
Generated 1/6/24, 3:44 PM