Larson-Penston Self-similar Gravitational Collapse

被引：6

作者：

Guo, Yan ^{[1
]}

Hadzic, Mahir ^{[2
]}

Jang, Juhi ^{[3
,4
]}

机构：

[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA

[2] UCL, Dept Math, London WC1E 6XA, England

[3] Univ Southern Calif, Dept Math, Los Angeles, CA 90089 USA

[4] Korea Inst Adv Study, Seoul, South Korea

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2021年 / 386卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

EULER-POISSON SYSTEM; STABILITY; DYNAMICS; SPHERES;

D O I：

10.1007/s00220-021-04175-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using numerical integration, in 1969 Penston (MonNot RAstr Soc 144:425-448, 1969) and Larson (Mon Not R Astr Soc 145:271-295, 1969) independently discovered a self-similar solution describing the collapse of a self-gravitating asymptotically flat fluid with the isothermal equation of state p = k rho, k > 0, and subject to Newtonian gravity. We rigorously prove the existence of such a Larson-Penston solution.

引用

页码：1551 / 1601

页数：51

共 50 条

[1] Larson–Penston Self-similar Gravitational Collapse
Yan Guo
Mahir Hadžić
Juhi Jang
[J]. Communications in Mathematical Physics, 2021, 386 : 1551 - 1601
[2] ON PENSTON SELF-SIMILAR SOLUTION FOR COLD COLLAPSE
LYNDENBELL, D
LEMOS, JPS
[J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1988, 233 (01) : 197 - 208
[3] AN ASYMPTOTIC SELF-SIMILAR SOLUTION FOR THE GRAVITATIONAL COLLAPSE
BLOTTIAU, P
BOUQUET, S
CHIEZE, JP
[J]. ASTRONOMY & ASTROPHYSICS, 1988, 207 (01) : 24 - 36
[4] Self-similar gravitational collapse in stellar dynamics
Lancellotti, C
Kiessling, M
[J]. ASTROPHYSICAL JOURNAL, 2001, 549 (01): : L93 - L96
[5] NAKED SINGULARITIES IN SELF-SIMILAR GRAVITATIONAL COLLAPSE
LAKE, K
ZANNIAS, T
[J]. PHYSICAL REVIEW D, 1990, 41 (12): : 3866 - 3868
[6] SELF-SIMILAR GRAVITATIONAL COLLAPSE IN AN EXPANDING UNIVERSE
FILLMORE, JA
GOLDREICH, P
[J]. ASTROPHYSICAL JOURNAL, 1984, 281 (01): : 1 - 8
[7] A self-similar solution for spherically symmetric gravitational collapse
R. N. Antonova
Ya. M. Kazhdan
[J]. Astronomy Letters, 2000, 26 : 344 - 355
[8] A self-similar solution for spherically symmetric gravitational collapse
Antonova, RN
Kazhdan, YM
[J]. ASTRONOMY LETTERS-A JOURNAL OF ASTRONOMY AND SPACE ASTROPHYSICS, 2000, 26 (06): : 344 - 355
[9] Self-similar gravitational collapse of radiatively cooling spheres
Murakami, M
Nishihara, K
Hanawa, T
[J]. ASTROPHYSICAL JOURNAL, 2004, 607 (02): : 879 - 889
[10] NAKED SINGULARITIES IN SELF-SIMILAR SPHERICAL GRAVITATIONAL COLLAPSE
ORI, A
PIRAN, T
[J]. PHYSICAL REVIEW LETTERS, 1987, 59 (19) : 2137 - 2140

← 1 2 3 4 5 →