Abstract:
In this talk we consider the solvability of a PDE arising as the Euler-Lagrange equation related to a deformation scheme in nonlinear elasticity. By considering a domain with a nontrivial topology and studying an appropriate class of ‘generalised twists’ as admissible solutions, we establish the existence of an infinite scale of distinct solutions to the PDE. A study of an associated ODE over the Lie algebra of skew-symmetric matrices so(n) as well as curl-free vector fields play a pivotal role in the analysis.
Biography:
Prior to joining NYU Shanghai in January 2019, George studied at the University of Sussex as an undergraduate and postgraduate, culminating in the award of a Ph.D. in the fall of 2018. His main research interests are calculus of variations and partial differential equations.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai