## 18 Citations

### Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass

- MathematicsScience China Mathematics
- 2021

This paper proves the existence of variational rotating solutions to the compressible non-isentropic Euler-Poisson equations with prescribed total mass. This extends the result of the isentropic case…

### A Model of Radiational Gaseous Stars

- Mathematics, PhysicsSIAM J. Math. Anal.
- 2018

A model concerning radiational gaseous stars is introduced and the existence theory of stationary solutions to the free boundary problem of hydrostatic equations describing the radiative equilibrium is established.

### A Model of Radiational Gaseous Stars

- Mathematics, Physics
- 2021

We introduce a model concerning radiational gaseous stars and establish the existence theory of stationary solutions to the free boundary problem of hydrostatic equations describing the radiative…

### On the Expanding Configurations of Viscous Radiation Gaseous Stars: Isentropic and Thermodynamic Models

- Physics, Chemistry
- 2017

In this work, we study the stability of the expanding configurations for radiation gaseous stars. Such expanding configurations exist for the isentropic model and the thermodynamic model. In…

### Global solutions to physical vacuum problem of non-isentropic viscous gaseous stars and nonlinear asymptotic stability of stationary solutions

- MathematicsJournal of Differential Equations
- 2018

### Existence of Rotating Stars with Variable Entropy

- Physics, Mathematics
- 2021

We model a rotating star as a compressible ﬂuid subject to gravita-tional forces. In almost all the mathematical literature the entropy is considered to be constant. Here we allow it to be variable.…

### A P ] 7 J un 2 01 7 A Model of Radiational Gaseous Stars

- Mathematics, Physics
- 2018

We introduce a model concerning radiational gaseous stars and establish the existence theory of stationary solutions to the free boundary problem of hydrostatic equations describing the radiative…

### On the expanding configurations of viscous radiation gaseous stars: the isentropic model

- MathematicsNonlinearity
- 2019

In this work, we study the stability of the expanding configurations for radiation gaseous stars. Such expanding configurations exist for the isentropic model. In fact, they are given as a class of…

### Continua of steadily rotating stars

- PhysicsQuarterly of Applied Mathematics
- 2022

This article is a brief survey of mathematical work, joint with Yilun Wu and Juhi Jang, on models of stars and galaxies. It is a sequel to the survey article by Yilun Wu [Quart. Appl. Math. 78…

## References

SHOWING 1-10 OF 24 REFERENCES

### Non-Linear Stability of Gaseous Stars

- Mathematics
- 2003

We construct steady states of the Euler-Poisson system with a barotropic equation of state as minimizers of a suitably defined energy functional. Their minimizing property implies the non-linear…

### Existence and Non-linear Stability of Rotating Star Solutions of the Compressible Euler–Poisson Equations

- Mathematics
- 2009

We prove the existence of rotating star solutions which are steady-state solutions of the compressible isentropic Euler–Poisson (Euler–Poisson) equations in three spatial dimensions with prescribed…

### Rotating Fluids with Self-Gravitation in Bounded Domains

- Mathematics, Physics
- 2004

Abstract.In this paper, we study the steady solutions of Euler-Poisson equations in bounded domains with prescribed angular velocity. This models a rotating Newtonian star consisting of a…

### Shock Waves and Reaction-Diffusion Equations

- Mathematics
- 1983

The purpose of this book is to make easily available the basics of the theory of hyperbolic conservation laws and the theory of systems of reaction-diffusion equations, including the generalized…

### Introduction to Stellar Structure

- Physics
- 2015

Physical Properties of the Stars.- Physical Conditions in the Stellar Interior.- The Electron Gas.- The Photon Gas.- Adiabatic Processes in the Stellar Interior.- Polytropes.- Radiative Equilibrium.-…

### Minimax methods in critical point theory with applications to differential equations

- Mathematics
- 1986

An overview The mountain pass theorem and some applications Some variants of the mountain pass theorem The saddle point theorem Some generalizations of the mountain pass theorem Applications to…

### Supersonic Flow and Shock Waves

- PhysicsNature
- 1949

TWENTY-FIVE years ago what was known on the dynamics of gases, if acoustics and the study of steady motion at speeds small compared with that of sound (when the flow resembles that of a liquid) be…

### On the Existence of Positive Solutions of Semilinear Elliptic Equations

- Mathematics
- 1982

In this paper we study the existence of positive solutions of semilinear elliptic equations. Various possible behaviors of nonlinearity are considered, and in each case nearly optimal multiplicity…