Relaxation rates via distance, energy, and dissipation
Maria G. Westdickenberg (RWTH Aachen University)
Tue, 02 Jul 2019 • 10:30-12:00h • Pontdriesch 14-16, Room 008 (SeMath)


We will consider the role of convexity of the energy in determining relaxation rates of the corresponding gradient flow. We will then ask whether similar rates can also hold for nonconvex energies. I will explain a method to obtain optimal algebraic rates of relaxation for a gradient flow via algebraic and differential relationships among distance, energy, and dissipation. I will focus on the example of the 1-d Cahn Hilliard equation.