Calculus of Variations and Geometric Measure Theory
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Nonlinear stability results for the Ohta-Kawasaki energy and for the nonlocal Mullins-Sekerka flow

Massimiliano Morini (Università di Parma)

created by gelli on 04 Apr 2016

20 apr 2016 -- 17:00

Aula Seminari Dipartimento di Matematica di Pisa

Abstract.

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.

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