Stationary solutions of Euler-Poisson equations for non-isentropic gaseous stars

DOI10.1002/mma.2529zbMath1248.35138OpenAlexW2125423249MaRDI QIDQ2912314

Suli Li, Huazhao Xie

Publication date: 14 September 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2529

zbMATH Keywords

Euler-Poisson equationsnon-isentropicmultiplicity of stationary solutionsuniqueness of stationary solution

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Galactic and stellar structure (85A15) Euler-Poisson-Darboux equations (35Q05)

Related Items

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

Cites Work

• Unnamed Item
• Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev growth
• Multiple stationary solutions of Euler-Poisson equations for non-isentropic gaseous stars
• Multiplicity of stationary solutions to the Euler--Poisson equations
• Uniqueness of stationary solutions with vacuum of Euler-Poisson equations
• Rotating fluids with self-gravitation in bounded domains
• Solutions of Euler-Poisson equations for gaseous stars
• A strong maximum principle for some quasilinear elliptic equations
• Variational solutions of some nonlinear free boundary problems
• Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities
• On the Best Constant for a Weighted Sobolev-Hardy Inequality
• Stability of Gaseous Stars in Spherically Symmetric Motions
• Remarks on elliptic problems involving the Caffarelli-Kohn-Nirenberg inequalities