论文标题
用于近似Stefan问题的新收敛证明
A new convergence proof for approximations of the Stefan problem
论文作者
论文摘要
我们考虑Stefan问题，首先使用常规数据，其次使用不规则的数据。在这两种情况下，都可以证明通过正规化问题获得的近似值收敛。这些证据基于弱制剂和紧凑性，导致某些具有负指数的Sobolev空间。
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.
