3 papers
math.AP2025
Strong and weak solutions to a structural acoustic model with a source term on the plate
Andrew R. Becklin, Yanqiu Guo
In this manuscript, we consider a structural acoustic model consisting of a wave equation defined in a bounded domain , strongly coupled with a Berger plate…
math.AP2025
Vanishing Vertical Viscosity in Two-Dimensional Anisotropic Navier-Stokes Equations with No-Slip Boundary Conditions: An result
Chongsheng Cao, Yanqiu Guo
This paper studies the inviscid limit problem for the two-dimensional Navier-Stokes equations with anisotropic viscosity. The fluid is assumed to be bounded above and below by impe…
math.AP2025
On the two-dimensional Navier-Stokes equations with horizontal viscosity
Chongsheng Cao, Yanqiu Guo
This paper is concerned with a 2D channel flow that is periodic horizontally but bounded above and below by hard walls. We assume the presence of horizontal viscosity only. We stud…