60 citations · 271 across the 17 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.AP2019
On well-posedness of the Muskat problem with surface tension
Huy Q. Nguyen
We consider the Muskat problem with surface tension for one fluid or two fluids, with or without viscosity jump, with infinite depth or Lipschitz rigid boundaries, and in arbitrary…
math.AP2019★ 44 cited
A paradifferential approach for well-posedness of the Muskat problem
Huy Q. Nguyen, Benoît Pausader
We study the Muskat problem for one fluid or two fluids, with or without viscosity jump, with or without rigid boundaries, and in arbitrary space dimension of the interface. Th…
math.OC2019★ 2 cited
On global stability of optimal rearrangement maps
Huy Q. Nguyen, Toan T. Nguyen
We study the nonlocal vectorial transport equation on bounded domains of where denotes the Leray projecto…