The Hele-Shaw free boundary limit of Buckley-Leverett System
Analysis of PDEs
2024-04-16 v1
Abstract
This paper proposes a new approach to solving the Buckley-Leverett System, which is to consider a compressible approximation model characterized by a stiff pressure law. Passing to the incompressible limit, the compressible model gives rise to a Hele-Shaw type free boundary limit of Buckley-Leverett System, and it is shown the existence of a weak solution of it.
Keywords
Cite
@article{arxiv.2404.09781,
title = {The Hele-Shaw free boundary limit of Buckley-Leverett System},
author = {André Gomes and Wladimir Neves},
journal= {arXiv preprint arXiv:2404.09781},
year = {2024}
}
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25 pages