3 papers
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
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…
math.AP2018
On the local existence and blow-up for generalized SQG patches
Francisco Gancedo, Neel Patel
We study patch solutions of a family of transport equations given by a parameter , , with the cases and corresponding to the Euler and the surface quasi-geos…