Singular limit of a second order nonlocal parabolic equation of conservative type arising in the micro-phase separation of diblock copolymers
Mathieu Henry, Yasumasa Nishiura · Hokkaido Mathematical Journal · 2003
We study the limiting behavior as \in tends to zero of the solution of a second order nonlocal parabolic equation of conservative type which models the micr0-phase separation of diblock copolymers.We consider the case of spherical symmetry and prove that as the reaction coefficient tends to infinity the problem converges to a free boundary problem where the interface motion is partly induced by its mean curvature.