We study the limiting behavior as ε 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.
- Asymptotic expansions
- Nonlocal motion by mean curvature
- Reaction-diffusion systems of conservative type
- Singular limits
ASJC Scopus subject areas