Nonlinear Instability Theory of Lane-Emden stars
Juhi Jang
TL;DR
This paper proves that certain polytropic gas star models, described by the Euler-Poisson system, are nonlinearly unstable when their adiabatic exponent is between 6/5 and 4/3, around the Lane-Emden equilibrium.
Contribution
It establishes the nonlinear instability of Lane-Emden star configurations for specific adiabatic exponents, advancing understanding of stellar stability.
Findings
Nonlinear instability of Lane-Emden stars for 6/5<γ<4/3
Rigorous mathematical proof of instability
Implications for stellar evolution models
Abstract
We establish a nonlinear instability of the Euler-Poisson system for polytropic gases whose adiabatic exponents take value in around the Lane-Emden equilibrium star configurations.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems · Navier-Stokes equation solutions