Optimal $L^1$-type relaxation rates for the Cahn--Hilliard equation on the line
Speaker:
Maria Westdickenberg, RWTH
Date and Time:
Monday, June 17, 2019 - 2:30pm to 3:10pm
Location:
Fields Institute, Stewart Library
Abstract:
For the Cahn-Hilliard equation on the real line, one can expect at best algebraic in time convergence to the long time limit. We establish optimal relaxation rates to the kink given disturbances that are order-one in terms of either first moments or the $L^1$ norm. Our tools include Nash-type inequalities, duality arguments, and Schauder estimates.
This is joint work with Felix Otto and Sebastian Scholtes. The research was partially supported by DFG Grant WE 5760/1-1.