Larson-Penston Self-similar Gravitational Collapse

التفاصيل البيبلوغرافية
العنوان: Larson-Penston Self-similar Gravitational Collapse
المؤلفون: Guo, Yan, Hadzic, Mahir, Jang, Juhi
سنة النشر: 2020
المجموعة: Mathematics
Mathematical Physics
مصطلحات موضوعية: Mathematics - Analysis of PDEs, Mathematical Physics, 35Q85, 35B44, 34C05
الوصف: Using numerical integration, in 1969 Penston [22] and Larson [17] independently discovered a self-similar solution describing the collapse of a self-gravitating asymptotically flat fluid with the isothermal equation of state $p=k\varrho$, $k>0$, and subject to Newtonian gravity. We rigorously prove the existence of such a Larson-Penston solution.
Comment: 44 pages
نوع الوثيقة: Working Paper
DOI: 10.1007/s00220-021-04175-y
URL الوصول: http://arxiv.org/abs/2011.01013
رقم الأكسشن: edsarx.2011.01013
قاعدة البيانات: arXiv
الوصف
DOI:10.1007/s00220-021-04175-y