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math.AP2021
Rigidity of Acute Angled Corners for One Phase Muskat Interfaces
Siddhant Agrawal, Neel Patel, Sijue Wu
We consider the one-phase Muskat problem modeling the dynamics of the free boundary of a single fluid in porous media. We prove local well-posedness for fluid interfaces that are g…
math.AP2021
Well-posedness for SQG sharp fronts with unbounded curvature
Francisco Gancedo, Huy Q. Nguyen, Neel Patel
Patch solutions for the surface quasigeostrophic (SQG) equation model sharp temperature fronts in atmospheric and oceanic flows. We establish local well-posedness for SQG sharp fro…
math.AP2021★ 1 cited
Global Results for the Inhomogeneous Muskat Problem
Neel Patel, Nikhil Shankar
The inhomogeneous Muskat problem models the dynamics of an interface between two fluids of differing characteristics inside a non-uniform porous medium. We consider the case of a p…