Gravitational Collapse for Polytropic Gaseous Stars: Self-Similar Solutions

[1]  F. Merle,et al.  On the implosion of a compressible fluid I: Smooth self-similar inviscid profiles , 2022, Annals of Mathematics.

[2]  F. Merle,et al.  On the implosion of a compressible fluid II: Singularity formation , 2022, Annals of Mathematics.

[3]  Anxo Biasi.  Self-similar solutions to the compressible Euler equations and their instabilities , 2021, Commun. Nonlinear Sci. Numer. Simul..

[4]  Yan Guo,et al.  Larson–Penston Self-similar Gravitational Collapse , 2020, Communications in Mathematical Physics.

[5]  Yan Guo,et al.  Continued Gravitational Collapse for Newtonian Stars , 2018, Archive for Rational Mechanics and Analysis.

[6]  Mahir Hadžić,et al.  Nonlinear Stability of Expanding Star Solutions of the Radially Symmetric Mass‐Critical Euler‐Poisson System , 2016, 1605.08083.

[7]  Javier G'omez-Serrano,et al.  Global Smooth Solutions for the Inviscid SQG Equation , 2016, 1603.03325.

[8]  Javier G'omez-Serrano,et al.  On turning waves for the inhomogeneous Muskat problem: a computer-assisted proof , 2013, 1311.0430.

[9]  J. Jang.  Nonlinear Instability Theory of Lane‐Emden Stars , 2012, 1211.2463.

[10]  J. Jang.  Nonlinear Instability in Gravitational Euler–Poisson Systems for $$\gamma=\frac{6}{5}$$ , 2008 .

[11]  G. Rein.  Non-Linear Stability of Gaseous Stars , 2002, math-ph/0210045.

[12]  Tai-Ping Liu,et al.  Solutions of Euler-Poisson Equations¶for Gaseous Stars , 2002 .

[13]  Tetu Makino,et al.  Blowing up solutions of the euler-poisson equation for the evolution of gaseous stars , 1992 .

[14]  T. Piran,et al.  A simple stability criterion for isothermal spherical self-similar flow , 1988 .

[15]  A. Whitworth,et al.  Self-similar condensation of spherically symmetric self-gravitating isothermal gas clouds , 1985 .

[16]  A. Yahil.  Self-similar stellar collapse , 1983 .

[17]  Stephen V. Weber,et al.  Homologously collapsing stellar cores , 1980 .

[18]  C. Hunter.  The collapse of unstable isothermal spheres. , 1977 .

[19]  F. Shu.  Self-similar collapse of isothermal spheres and star formation. , 1977 .

[20]  Richard B. Larson,et al.  Numerical Calculations of the Dynamics of a Collapsing Proto-Star , 1969 .

[21]  M. Penston.  Dynamics of Self-Gravitating Gaseous Spheres—III: Analytical Results in the Free-fall of Isothermal Cases , 1969 .

[22]  Harold R. Parks,et al.  A Primer of Real Analytic Functions , 1992 .