Abstract
We prove the nonlinear asymptotic stability of the gravitational hydrostatic equilibrium for the general equation of state of pressure–density relation in the framework of vacuum free boundary problem of spherically symmetric compressible Navier–Stokes–Poisson equations in three dimensions. The results apply to white dwarfs and polytropes for all γ > 4/3 including the case of γ ≥ 2 which was not addressed in previous literature. Detailed decay rates of perturbations are given. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.
| Original language | English |
|---|---|
| Article number | 218 |
| Journal | Calculus of Variations and Partial Differential Equations |
| Volume | 63 |
| Issue number | 8 |
| Online published | 21 Sept 2024 |
| DOIs | |
| Publication status | Published - Nov 2024 |
Funding
The authors are grateful to the referee for his/her very helpful suggestions and comments. This research was supported in part by National Sciences Fundation of China (NSFC) Grants 12171267, 11822107 and 12101350; China Postdoctoral Science Foundation under grant 2021M691818; and a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. 11307420).
Research Keywords
- 35B35
- 35B65
- 35Q35
- 76N10
- 85A05
RGC Funding Information
- RGC-funded
Fingerprint
Dive into the research topics of 'Nonlinear asymptotic stability of gravitational hydrostatic equilibrium for viscous white dwarfs with symmetric perturbations'. Together they form a unique fingerprint.Projects
- 1 Finished
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GRF: Long Time Well-Posedness and Dynamics for the Plasma-Vacuum Interface Problem in Magnetohydrodynamics (MHD) Nonlinear Partial Differential Equations.
LUO, T. (Principal Investigator / Project Coordinator)
1/12/20 → 23/05/25
Project: Research
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