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20112025
most citedGlobal Tracking and Quantification of Oil and Gas Methane Emissions from Recurrent Sentinel-2 Imagery

97 citations

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math.AP2019★ 41 cited

Paralinearization of the Muskat equation and application to the Cauchy problem

Thomas Alazard, Omar Lazar

We paralinearize the Muskat equation to extract an explicit parabolic evolution equation having a compact form. This result is applied to give a simple proof of the local well-pose…

math.AP2019★ 20 cited

Lyapunov functions, Identities and the Cauchy problem for the Hele-Shaw equation

Thomas Alazard, Nicolas Meunier, Didier Smets

This article is devoted to the study of the Hele-Shaw equation. We introduce an approach inspired by the water-wave theory. Starting from a reduction to the boundary, introducing t…