elasticity

On the Modeling and Approximation of Phase Transitions in Elasticity

Georgios Grekas, Postdoctoral Research Fellow, Applied Mathematics and Computational Science

Feb 5, 11:00 - 12:00

B9 L2 R2325

Phase transitions elasticity mathematical modelling

This talk explores the mathematical modeling of phase transitions in elasticity, drawing motivation from observed phenomena in crystalline solids and biomaterials.

Hessian-dependent Functionals: Mean Field Games, Free Boundaries and Improved Regularity

Prof. Edgard Pimentel, Department of Mathematics of the University of Coimbra

Mar 26, 16:00 - 17:00

B2 L5 R5220

Hessain-dependent elasticity mean-field games Free Boundaries viscous

Hessian-dependent functionals play a pivotal role in a wide latitude of problems in mathematics. Arising in the context of differential geometry and probability theory, this class of problems find applications in the mechanics of deformable media (mostly in elasticity theory) and the modelling of slow viscous fluids. We study such functionals from three distinct perspectives.