A new convergence proof for approximations of the Stefan problem

06/14/2022

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by   Robert Eymard, et al.

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We consider the Stefan problem, firstly with regular data and secondly with irregular data. In both cases is given a proof for the convergence of an approximation obtained by regularising the problem. These proofs are based on weak formulations and on compactness results in some Sobolev spaces with negative exponents.