5 papers · 1 filter
Compressible Euler equations with time-dependent damping in the critical regularity setting: global well-posedness and strong relaxation limit
Timothée Crin-Barat, Xinghong Pan, Ling-Yun Shou +1
We investigate the relaxation problem and the diffusion phenomenon for the compressible Euler system with a time-dependent damping coefficient of the form in $\m…
Vanishing viscosity limit of the 2D stationary Navier-Stokes equations outside a rotating disc and its application
Xinghong Pan, Jianfeng Zhao
We justify the vanishing-viscosity limit for 2D stationary Navier-Stokes flows in the exterior of a rotating disc. The boundary data are a small perturbation of a nonzero rigid rot…
The Kramers-Fokker-Planck equation with a decaying potential in ,
Xinghong Pan, Xue Ping Wang, Lu Zhu
We use methods from microlocal analysis and quantum scattering to study spectral properties near the threshold zero of the Kramers-Fokker-Planck operator with a decaying potential…
Existence and non-uniqueness of classical solutions to the axially symmetric stationary Navier-Stokes equations in an exterior cylinder
Zijin Li, Xinghong Pan
In this paper, we show existence and non-uniqueness on the axially symmetric stationary Navier-Stokes equations in an exterior periodic cylinder. On the boundary of the cylinder, t…
Existence of the planar stationary flow in the presence of interior sources and sinks in an exterior domain
Zijin Li, Xinghong Pan
In the paper, we consider the solvability of the two-dimensional Navier-Stokes equations in an exterior unit disk. On the boundary of the disk, the tangential velocity is subject t…