Local Well-Posedness of Dynamics of Viscous Gaseous Stars

2007/06/12 by Juhi Jang, Jang, Juhi · 2 citations
Mathematics · Physics and Astronomy · #35Q30 #76N10 #76N15 #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #math-ph #math.AP #math.MP #msc:35Q30 #msc:76N10 #msc:76N15

paper · pdf · doi:10.48550/arxiv.0706.1605

49 pages

arxiv created 2007/06/12 · openalex publication_date 2007/06/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish the local in time well-posedness of strong solutions to the vacuum free boundary problem of the compressible Navier-Stokes-Poisson system in the spherically symmetric and isentropic motion. Our result captures the physical vacuum boundary behavior of the Lane-Emden star configurations for all adiabatic exponents γ>6/5.

Cited by

• 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

Related

• On Nonlinear Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem
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• Expanding Solutions to Free Boundary 3D Spherically Symmetric Compressible Navier-Stokes-Poisson Equations near the Lane-Emden Stars
• Local well-posedness of the vacuum free boundary of 3-D compressible Navier-Stokes equations