5 papers
On the nonlinear instability of nonrotating Stars
Zhiwu Lin, Xinlin Wu
We study radial nonlinear instability of compactly supported nonrotating equilibria of the three-dimensional Euler--Poisson system with a physical-vacuum boundary. Let den…
Unstable Manifolds of Stratified Euler Equations
Zhiwu Lin, Yanbo Wang, Chongchun Zeng
We consider a spectrally unstable steady state of the incompressible stratified Euler equations on a class of -dimensional domains. Assuming that the linearized equa…
On the stability and instability of Kelvin-Stuart cat's-eye flows
Shasha Liao, Zhiwu Lin, Hao Zhu
Kelvin-Stuart vortices are classical mixing layer flows with many applications in fluid mechanics, plasma physics and astrophysics. We prove that the whole family of Kelvin-Stuart…
Expanding solutions near unstable Lane-Emden stars
Ming Cheng, Xing Cheng, Zhiwu Lin
We consider the compressible Euler-Poisson equations for polytropes with and the white dwarf stars. For $γ=\frac{4}{3}…
Turning point principle for stability of viscous gaseous stars
Ming Cheng, Zhiwu Lin, Yucong Wang
We consider stability of non-rotating viscous gaseous stars modeled by the Navier-Stokes-Poisson system. Under general assumptions on the equations of states, we proved that the nu…