Optimal Convergence Rates via Relationships among Distance, Energy, and Dissipation
Thursday, May 22, 2014 - 2:00pm - 2:40pm
We present a method developed jointly with Felix Otto to capture optimal convergence rates for a gradient flow via natural algebraic and differential relationships among distance, energy, and dissipation. The method is developed and applied in the context of relaxation to a kink profile in the one-dimensional Cahn-Hilliard equation on the line. Application to other models is discussed.