Weekly Seminar
Optimal regularity of solutions for the parabolic Signorini problem
Wenhui Shi (RWTH Aachen University)
Thu, 13 Jul 2023
• 10:30-11:30
• Pontdriesch 14, Room 008 (SeMath)
Abstract
We consider the parabolic Signorini problem (or parabolic thin obstacle problem), which is a classical free boundary problem motivated from modelling fluids passing through semipermeable membranes. I will review some techniques used to tackle the regularity properties of the solutions as well as the free boundaries. This is based on joint work with Vedansh Arya.