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math.AP2016★ 1 cited
Addendum: 2D homogeneous solutions to the Euler equation
Xue Luo, Roman Shvydkoy
In this addendum note we fill in the gap left in \cite{ls} in the description of 2D homogeneous solutions to the stationary Euler system with the help of the results of \cite{sd}.…
math.AP2014
2D homogeneous solutions to the Euler equation
Xue Luo, Roman Shvydkoy
In this paper we study classification of homogeneous solutions to the stationary Euler equation with locally finite energy. Written in the form , $Ψ(r,θ) = r^λ…
math.AP2014
On the quenching behavior of the MEMS with fringing field
Xue Luo, Stephen S. -T. Yau
The singular parabolic problem on a bounded domain of with Dirichlet boundary condition, models the Microele…