87 citations · 246 across the 35 of their papers we have counts for
7 papers · 1 filter
Stability of contact lines in fluids: 2D Navier-Stokes flow
Yan Guo, Ian Tice
In this paper we study the dynamics of an incompressible viscous fluid evolving in an open-top container in two dimensions. The fluid mechanics are dictated by the Navier-Stokes eq…
Traveling wave solutions to the multilayer free boundary incompressible Navier-Stokes equations
Noah Stevenson, Ian Tice
For a natural number , we study layers of finite depth, horizontally infinite, viscous, and incompressible fluid bounded below by a flat rigid bottom. Adjacent layers…
Anisotropic micropolar fluids subject to a uniform microtorque: the stable case
Antoine Remond-Tiedrez, Ian Tice
We study a three-dimensional, incompressible, viscous, micropolar fluid with anisotropic microstructure on a periodic domain. Subject to a uniform microtorque, this system admits a…
Linear instability of -pinch in plasma (II): Viscous case
Dongfen Bian, Yan Guo, Ian Tice
The z-pinch is a classical steady state for the MHD model, where a confined plasma fluid is separated by vacuum, in the presence of a magnetic field which is generated by a prescri…
Linear instability of -pinch in plasma (I): Inviscid case
Dongfen Bian, Yan Guo, Ian Tice
The z-pinch is a classical steady state for the MHD model, where a confined plasma fluid is separated by vacuum, in the presence of a magnetic field which is generated by a prescri…
A truncated real interpolation method and characterizations of screened Sobolev spaces
Noah Stevenson, Ian Tice
In this paper we prove structural and topological characterizations of the screened Sobolev spaces with screening functions bounded below and above by positive constants. We genera…