5 papers
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…
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…
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…
Inertial manifolds for the two-dimensional hyperviscous Navier-Stokes equations
Yanqiu Guo
This study establishes the existence of inertial manifolds for the hyperviscous Navier-Stokes equations (HNSE) on a 2D periodic domain: \begin{equation*} \partial_t u+ ν(-Δ) ^βu+(u…
Sparse distribution of lattice points in annular regions
Yanqiu Guo, Michael Ilyin
This paper is inspired by Richards' work on large gaps between sums of two squares [10]. It is shown in [10] that there exist arbitrarily large values of and , where $μ\geq…