104 citations · 392 across the 34 of their papers we have counts for
36 papers
Collapse of white dwarfs above the Chandrasekhar mass
Gong Chen, Zhiwu Lin
We give a dynamical characterization of the Chandrasekhar mass for cold white dwarfs governed by the radial Euler--Poisson equations with the exact Chandrasekhar equation of state.…
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…
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 we…
Nonlinear stability of non-rotating gaseous stars
Zhiwu Lin, Yucong Wang, Hao Zhu
For the non-rotating gaseous stars modeled by the compressible Euler-Poisson system with general pressure law, Lin and Zeng [18] proved a turning point principle, which gives the s…
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…