一类非平稳自由边界问题解的存在性

IF 0.5 4区数学 Q3 MATHEMATICS

Glasnik Matematicki Pub Date : 2018-12-30 DOI:10.3336/GM.53.2.13

M. Bousselsal, A. Lyaghfouri, E. Zaouche

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引用次数: 3

摘要

从物理角度考虑一类具有非均质系数的抛物自由边界问题，包括演化坝问题。我们建立了这个问题的解的存在性。利用一个正则化问题，利用Tychonoff不动点定理证明了该问题解的存在性。然后求极限得到问题的解。并给出了解的正则性结果。

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On the existence of a solution of a class of non-stationary free boundary problems

We consider a class of parabolic free boundary problems with heterogeneous coefficients including, from a physical point of view, the evolutionary dam problem. We establish existence of a solution for this problem. We use a regularized problem for which we prove existence of a solution by applying the Tychonoff fixed point theorem. Then we pass to the limit to get a solution of our problem. We also give a regularity result of the solutions.

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来源期刊

Glasnik Matematicki MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Glasnik Matematicki publishes original research papers from all fields of pure and applied mathematics. The journal is published semiannually, in June and in December.