Mixing solutions for the Muskat problem with variable speed
Florent Noisette, L\'aszl\'o Sz\'ekelyhidi Jr
TL;DR
This paper presents a shorter proof for the existence of mixing weak solutions in the Muskat problem with variable mixing speed, extending previous results and simplifying the theoretical understanding of such solutions.
Contribution
It offers a more concise proof of mixing solutions for the Muskat problem with variable speed, advancing theoretical insights in fluid interface dynamics.
Findings
Existence of mixing weak solutions confirmed
Proof is significantly shorter than previous methods
Extends previous results to variable mixing speeds
Abstract
We provide a quick proof of the existence of mixing weak solutions for the Muskat problem with variable mixing speed. Our proof is considerably shorter and extends previous results in \cite{ccf:ipm} and \cite{fsz:ipm}.
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