Existence and conditional nonlinear stability of non-isentropic gaseous stars
Year: 2026
Type: article
Abstract: The motion of self-gravitating gaseous stars with non-isentropic effects can be described by the non-isentropic Euler–Poisson equations. Using a variational approach, we establish the existence of steady-state solutions for prescribed total mass, under a fixed relation between the mass and entropy distributions. We provide the decay rate of the density near the vacuum boundary. Finally, assuming the existence of a radial weak solution satisfying the stated Lagrangian and compatibility conditions, nonincrease of the total energy, and uniqueness of the variational minimizer, we prove a conditional nonlinear stability result under radial perturbations.
Authors: Yan Feng, Tao Luo, Yucong Wang
Institutions: City University of Hong Kong, Xiangtan University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7225249755