Nonlinear Instability Theory of Lane-Emden stars

2012/11/11 by Juhi Jang, Jang, Juhi · 4 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #math.AP

paper · pdf · doi:10.48550/arxiv.1211.2463

arxiv created 2012/11/11 · arxiv updated 2012/11/13

Abstract

We establish a nonlinear instability of the Euler-Poisson system for polytropic gases whose adiabatic exponents take value in 6/5<γ<4/3 around the Lane-Emden equilibrium star configurations.

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• A turning point principle for liquid Lane-Emden stars
• Expanding Solutions to Free Boundary 3D Spherically Symmetric Compressible Navier-Stokes-Poisson Equations near the Lane-Emden Stars
• Nonlinear Stability of Linearly Expanding Goldreich-Weber Solutions for the Navier-Stokes-Poisson System with Degenerate Viscosity Under Radial Perturbations
• Separable motions for self-gravitating hyperelastic matter

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