Abstract
AbstractUsing numerical integration, in 1969 Penston (Mon Not R Astr 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 $$p=k\varrho $$
p
=
k
ϱ
, $$k>0$$
k
>
0
, and subject to Newtonian gravity. We rigorously prove the existence of such a Larson–Penston solution.
Funder
Engineering and Physical Sciences Research Council
National Science Foundation
Simons Foundation
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
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