PDE Seminar (2015/4/13): On an approximate scheme for a distance function of evolving interfaces

2015-4-13 16:30 - 2015-4-13 17:30
Faculty of Science Building #3, Room 309
Nao Hamamuki (Hokkaido University)
We show that viscosity solutions of a certain Hamilton-Jacobi equation approximate a distance function of evolving interfaces. A difficulty is that the distance function can be discontinuous with respect to time when the interface disappears. We establish convergence results by introducing a notion of a half-relaxed limit of solutions from below in time.