Stephen Cameron

activity

20172020

most citedGlobal wellposedness for the 3D Muskat problem with medium size slope

18 citations · 23 across the 3 of their papers we have counts for

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math.AP2020★ 3 cited

Eventual regularization for the 3D Muskat problem: Lipschitz for finite time implies global existence

Stephen Cameron

We show that for any fixed Lipschitz constant $L$ , there is a time $T^{*} < \infty$ depending only on $L$ such that if $f : [0, T^{*}] \times R^{2} \to [0, 1]$ is a classical solution…

math.AP2020★ 18 cited

Global wellposedness for the 3D Muskat problem with medium size slope

Stephen Cameron

We prove the existence and uniqueness of global, classical solutions to the 3D Muskat problem in the stable regime whenever the initial interface has sublinear growth and slope $||…