Nonlinear stability results for the Ohta-Kawasaki energy and for the nonlocal Mullins-Sekerka flow – Massimiliano Morini (Universita’ di Parma)


Sala Seminari (Dip. Matematica).


It has been recently shown that strictly stable critical configurations for the Ohta-Kawasaki energy are in fact isolated local minimizers with respect to small $L^1$-perturbations. After reviewing such results and some of their applications, we consider the associated evolution problem. More precisely, we show that such strictly stable configurations are exponentially stable for the $H^{-1/2}$-gradient flow of the Ohta-Kawasaki energy, also known as the nonlocal (or modified) Mullins-Sekerka flow.

Torna in cima