activity
20202026
most citedConstruction of boundary conditions for Navier-Stokes equations from the moment system

3 citations · 4 across the 7 of their papers we have counts for

collaborators

8 papers

math.AP2026

Uniform Decay for Ruggeri's Relaxed Navier-Stokes-Fourier Equations

Heinrich Freistühler, Yizhou Zhou

This work studies the linearization of Ruggeri's classical symmetric hyperbolic model of viscous, heat-conductive fluids about a homogeneous equilibrium. In three space dimensions,…

math.NA2026

Error Estimates for Hyperbolic Scaling Limits of Linear Kinetic Models on Networks

Axel Klar, Yizhou Zhou

This paper studies linear discrete kinetic models on networks and their asymptotic behavior in the small Knudsen number limit. For coupling conditions at an n-edge junction under a…

math.AP2026

A spectral approach to interface layers on networks for the linearized BGK equation and its acoustic limit

Raul Borsche, Tobias Damm, Axel Klar +1

We consider in this paper a velocity discretized version of the full linear kinetic BGK model and the corresponding limit for small Knudsen number, the linearised Euler or acoustic…

math.AP2024

Boundary conditions for hyperbolic relaxation systems with characteristic boundaries

Yizhou Zhou, Wen-An Yong

This paper is concerned with initial-boundary-value problems of general multi-dimensional hyperbolic relaxation systems with characteristic boundaries. For the characteristic case,…

cs.AI2024★ 1 cited

Neuron-based Multifractal Analysis of Neuron Interaction Dynamics in Large Models

Xiongye Xiao, Heng Ping, Chenyu Zhou +6

In recent years, there has been increasing attention on the capabilities of large models, particularly in handling complex tasks that small-scale models are unable to perform. Nota…

math.AP2022★ 3 cited

Construction of boundary conditions for Navier-Stokes equations from the moment system

Ruo Li, Yichen Yang, Yizhou Zhou

This work concerns with boundary conditions (BCs) of the linearized moment system for rarefied gases. As the Knudsen number is sufficiently small, we analyze the boundary-layer beh…

math.AP2020

Boundary Conditions for Hyperbolic Relaxation Systems with Characteristic Boundaries of Type I

Yizhou Zhou, Wen-An Yong

This work is concerned with boundary conditions for one-dimensional hyperbolic relaxation systems with characteristic boundaries. We assume that the relaxation system satisfies the…

math.AP2020

Boundary Conditions for Hyperbolic Relaxation Systems with Characteristic Boundaries of Type II

Yizhou Zhou, Wen-An Yong

This paper is a continuation of our preceding work on hyperbolic relaxation systems with characteristic boundaries of type I. Here we focus on the characteristic boundaries of type…