246 citations · 723 across the 62 of their papers we have counts for
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On Well-posed Boundary Conditions for the Linear Non-homogeneous Moment Equations in Half-space
Ruo Li, Yichen Yang
We propose a necessary and sufficient condition for the well-posedness of the linear non-homogeneous Grad moment equations in half-space. The Grad moment system is based on Hermite…
Linear Moment Models to Approximate Knudsen Layers
Ruo Li, Yichen Yang
We propose a well-posed Maxwell-type boundary condition for the linear moment system in half-space. As a reduction of the Boltzmann equation, the moment equations are available to…
Parity-decomposition and Moment Analysis for Stationary Wigner Equation with Inflow Boundary Conditions
Ruo Li, Tiao Lu, Zhangpeng Sun
We study the stationary Wigner equation on a bounded, one-dimensional spatial domain with inflow boundary conditions by using the parity decomposition in (Barletti and weifel, Tran…
Nonexistence of Local Self-Similar Blow-up for the 3D Incompressible Navier-Stokes Equations
Thomas Y. Hou, Ruo Li
We prove the nonexistence of local self-similar solutions of the three dimensional incompressible Navier-Stokes equations. The local self-similar solutions we consider here are dif…
Level Set Dynamics and the Non-blowup of the 2D Quasi-geostrophic Equation
Jian Deng, Thomas Y. Hou, Ruo Li +1
In this article we apply the technique proposed in Deng-Hou-Yu (Comm. PDE, 2005) to study the level set dynamics of the 2D quasi-geostrophic equation. Under certain assumptions on…