| Abstract: |
| In this talk, I will discuss the large-time behavior of the solutions of
the one-phase Stefan problem with oscillating diffusion coefficients and
latent heat of phase transition. After appropriate rescaling, the
asymptotic limit of the solutions can be viewed as a homogenization
limit. We show that the rescaled solutions converge to a solution of
the Hele-Shaw problem with a point source and an anisotropic homogeneous
diffusion. The singularity that appears at the origin in the limit is
handled using careful barrier arguments with fundamental
solutions of the elliptic equation. This is joint work with Giang Thi Thu Vu. |
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