The nonlinear asymptotic stability of Lane-Emden solutions is proved in this paper for
spherically symmetric motions of viscous gaseous stars with the density dependent shear …

We review a series of recent results on global dynamic properties of radially symmetric self-
gravitating compressible Euler flows, which naturally arise in the mathematical description of …

We consider the plasma-vacuum interface problem in a horizontally periodic slab impressed
by a uniform non-horizontal magnetic field. The lower plasma region is governed by the …

We investigate the stabilizing effect of capillarity in the Rayleigh-Taylor problem to the
viscous incompressible capillary fluids driven by gravity in a smooth bounded domain. It is …

We investigate the instability and stability of some steady-states of a three-dimensional
nonhomogeneous incompressible viscous flow driven by gravity in a bounded domain Ω of …

Nonlinear Instability Theory of Laneâ•’Emden Stars Page 1 Nonlinear Instability Theory of
Lane-Emden Stars JUHI JANG University of California, Riverside Abstract We establish a …

This paper proves the nonlinear asymptotic stability of the Lane–Emden solutions for
spherically symmetric motions of viscous gaseous stars if the adiabatic constant γ lies in the …

We consider the dynamics of two layers of incompressible electrically conducting fluid
interacting with a magnetic field, which are confined within a 3D horizontally infinite slab and …

We prove nonlinear stability of compactly supported expanding star solutions of the mass‐
critical gravitational Euler‐Poisson system. These special solutions were discovered by …

This paper is concerned with the three dimensional compressible Euler–Poisson equations
with moving physical vacuum boundary condition. This fluid system is usually used to …