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Large-time behavior of one-phase Stefan-type problems with anisotropic diffusion in periodic media
Norbert Požár, Giang Thi Thu Vu
We study the large-time behavior of solutions of a one-phase Stefan-type problem with anisotropic diffusion in periodic media on an exterior domain in a dimension . By a…
Singular limit of the porous medium equation with a drift
Inwon Kim, Norbert Požár, Brent Woodhouse
We study the "stiff pressure limit" of a nonlinear drift-diffusion equation, where the density is constrained to stay below the maximal value one. The challenge lies in the presenc…
Long-time behavior of the one-phase Stefan problem in periodic and random media
Norbert Požár, Giang Thi Thu Vu
We study the long-time behavior of solutions of the one-phase Stefan problem in inhomogeneous media in dimensions . Using the technique of rescaling which is consistent w…
Approximation of general facets by regular facets with respect to anisotropic total variation energies and its application to the crystalline mean curvature flow
Yoshikazu Giga, Norbert Požár
We show that every bounded subset of an Euclidean space can be approximated by a set that admits a certain vector field, the so-called Cahn-Hoffman vector field, that is subordinat…