On nonlinear instability of liquid Lane–Emden stars
We establish a dynamical nonlinear instability of liquid Lane–Emden stars in R 3 whose adiabatic exponents take values in [ 1 , 4 3 ) . Our proof relies on a priori estimates for the free boundary problem of a compressible self-gravitating liquid, as well as a quantitative analysis of the competitio...
Gespeichert in:
| Veröffentlicht in: | Calculus of variations and partial differential equations 2024-07, Vol.63 (6), Article 157 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | We establish a dynamical nonlinear instability of liquid Lane–Emden stars in
R
3
whose adiabatic exponents take values in
[
1
,
4
3
)
. Our proof relies on a priori estimates for the free boundary problem of a compressible self-gravitating liquid, as well as a quantitative analysis of the competition between the fastest linear growing mode and the source. |
|---|---|
| ISSN: | 0944-2669 1432-0835 |
| DOI: | 10.1007/s00526-024-02761-1 |