60 citations · 271 across the 17 of their papers we have counts for
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math.AP2017★ 6 cited
On singularity formation in a Hele-Shaw model
Peter Constantin, Tarek Elgindi, Huy Nguyen +1
We discuss a lubrication approximation model of the interface between two immiscible fluids in a Hele-Shaw cell, derived in \cite{CDGKSZ93} and widely studied since. The model cons…
math.AP2017★ 43 cited
Local and global strong solutions for SQG in bounded domains
Peter Constantin, Huy Quang Nguyen
We prove local well-posedness for the inviscid surface quasigeostrophic (SQG) equation in bounded domains of . When fractional Dirichlet Laplacian dissipation is adde…
math.AP2017★ 18 cited
Global weak solutions for generalized SQG in bounded domains
Huy Quang Nguyen
We prove the existence of global weak solutions for a family of generalized inviscid surface-quasi geostrophic (SQG) equations in bounded domains of the plane. In these equat…