3 citations · 3 across the 5 of their papers we have counts for
5 papers
On large periodic traveling wave solutions to the free boundary Stokes and Navier-Stokes equations
Seyed Abdolhamid Banihashemi, Huy Q. Nguyen
We study the free boundary problem for a finite-depth layer of viscous incompressible fluid in arbitrary dimension, modeled by the Stokes or Navier-Stokes equations. In addition to…
On large periodic traveling surface waves in porous media
Huy Q. Nguyen, Noah Stevenson
We study large traveling surface waves within a two-dimensional finite depth, free boundary, homogeneous, incompressible and viscous fluid governed by Darcy's law. The fluid is bou…
On Moffatt's magnetic relaxation for 2D and 2.5D flows
Sepehr Mohammadkhani, Huy Q. Nguyen
We study the Moffatt's magnetic relaxation equation with Darcy-type regularization for the constitutive law. This is a topology-preserving dissipative equation, whose solutions are…
Well-Posedness of the Free Boundary Incompressible Porous Media Equation
Mickaël Latocca, Huy Q. Nguyen
We consider the free boundary incompressible porous media equation which describes the dynamics of a density transported by a Darcy flow in the field of gravity, with a free bounda…
Global well-posedness for the one-phase Muskat problem
Hongjie Dong, Francisco Gancedo, Huy Q. Nguyen
The free boundary problem for a two-dimensional fluid filtered in porous media is studied. This is known as the one-phase Muskat problem and is mathematically equivalent to the ver…