Boundaries

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.