Singular limit of a fourth-order problem arising in the microphase separation of diblock copolymers
M. Henry · Advances in Differential Equations · 2001
We study the limiting behavior as $\varepsilon$ tends to zero of the solution of a system arising in the microphase separation of diblock copolymers. This system involves a fourth-order parabolic equation. We consider the case of spherical symmetry, and we show the convergence to a free-boundary Hele--Shaw-type problem.