3 citations · 7 across the 5 of their papers we have counts for
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Ill/well-posedness of non-diffusive active scalar equations with physical applications
Susan Friedlander, Anthony Suen, Fei Wang
We consider a general class of non-diffusive active scalar equations with constitutive laws obtained via an operator that is singular of order . For $r_0\…
The growth mechanism of boundary layers for the 2D Navier-Stokes equations
Fei Wang, Yichun Zhu
We give a detailed description of formation of the boundary layers in the inviscid limit problem. To be more specific, we prove that the magnitude of the vorticity near the boundar…
The 3D inviscid limit problem with data analytic near the boundary
Fei Wang
We consider the 3D Navier-Stokes equations in the upper half space with periodic boundary conditions in the horizontal directions. We prove the inviscid limit holds…
The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary
Igor Kukavica, Vlad Vicol, Fei Wang
We address the inviscid limit for the Navier-Stokes equations in a half space, with initial datum that is analytic only close to the boundary of the domain, and has finite Sobolev…
Global regularity for a family of 3D models of the axisymmetric Navier-Stokes equations
Thomas Y Hou, Pengfei Liu, Fei Wang
We consider a family of 3D models for the axi-symmetric incompressible Navier-Stokes equations. The models are derived by changing the strength of the convection terms in the axisy…