3 papers
math.AP2026
Stability of Inflow Problem for Hyperbolic Systems
Yan Guo, Yanjin Wang
Inflow BC plays a critical role in the study of hyperbolic PDE in a bounded domain. We establish stability for 1D hyperbolic conservation laws with inflow data in a…
math.AP2026
Asymptotic stability of symmetric flows with viscous inflow boundary condition
Yan Guo, Zhuolun Yang
We study the two-dimensional incompressible Navier-Stokes equations in a channel with small viscosity , an -Navier slip condition…
math.AP2024
Small scales in inviscid limits of steady fluids
Yan Guo, Zhuolun Yang
In this article, we study the 2D incompressible steady Navier-Stokes equation in a channel with the no-slip boundary condition on , and consider…