4 citations · 5 across the 3 of their papers we have counts for
12 papers
Bounds on heat flux for Rayleigh-Bénard convection between Navier-slip fixed-temperature boundaries
Theodore D. Drivas, Huy Q. Nguyen, Camilla Nobili
We study two-dimensional Rayleigh-Bénard convection with Navier-slip, fixed temperature boundary conditions and establish bounds on the Nusselt number. As the slip-length varies wi…
Self-similar solutions for the Muskat equation
Eduardo García-Juárez, Javier Gómez-Serrano, Huy Q. Nguyen +1
We show the existence of self-similar solutions for the Muskat equation. These solutions are parameterized by ; they are exact corners of slope at and become s…
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…
Global solutions for the Muskat problem in the scaling invariant Besov space
Huy Q. Nguyen
The one-phase and two-phase Muskat problems with arbitrary viscosity contrast are studied in all dimensions. They are quasilinear parabolic equations for the graph free boundary. W…
The vanishing surface tension limit of the Muskat problem
Patrick T. Flynn, Huy Q. Nguyen
The Muskat problem, in its general setting, concerns the interface evolution between two incompressible fluids of different densities and viscosities in porous media. The interface…
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…