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The dynamics of line singularities in three different physical systems are considered, namely vortices in an inviscid fluid, vortices in a type-II superconductor, and dislocations in an elastic crystal. When the core of the singularity can be re[...]texto impreso
In this paper we consider the limit m?+? of solutions of the porous-medium equation ut = ?•(um?u)(x?RN), with N > 1. We conjecture that, for initial data with a unique maximum, the evolution is characterized by the onset of a ‘mesa’ region, in [...]
