202 citations · 1.7k across the 67 of their papers we have counts for
9 papers · 1 filter
On the Weak Coupling Limit of Quantum Many-body Dynamics and the Quantum Boltzmann Equation
Xuwen Chen, Yan Guo
The rigorous derivation of the Uehling-Uhlenbeck equation from more fundamental quantum many-particle systems is a challenging open problem in mathematics. In this paper, we exam t…
Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate
Yan Guo, Toan T. Nguyen
This paper concerns the validity of the Prandtl boundary layer theory in the inviscid limit for steady incompressible Navier-Stokes flows. The stationary flows, with small viscosit…
BV-regularity of the Boltzmann equation in Non-Convex Domains
Yan Guo, Chanwoo Kim, Daniela Tonon +1
Consider the Boltzmann equation in a general non-convex domain with the diffuse boundary condition. We establish optimal BV estimates for such solutions. Our method consists of a n…
Spectral stability of Prandtl boundary layers: an overview
Emmanuel Grenier, Yan Guo, Toan T. Nguyen
In this paper we show how the stability of Prandtl boundary layers is linked to the stability of shear flows in the incompressible Navier Stokes equations. We then recall classical…
Spectral instability of characteristic boundary layer flows
Emmanuel Grenier, Yan Guo, Toan T. Nguyen
In this paper, we construct growing modes of the linearized Navier-Stokes equations about generic stationary shear flows of the boundary layer type in a regime of sufficiently larg…
A Maximum-Principle-Satisfying High-order Finite Volume Compact WENO Scheme for Scalar Conservation Laws
Yan Guo, Tao Xiong, Yufeng Shi
In this paper, a maximum-principle-satisfying finite volume compact scheme is proposed for solving scalar hyperbolic conservation laws. The scheme combines WENO schemes (Weighted E…