# Protostellar Collapse with a Shock

@article{Tsai1995ProtostellarCW, title={Protostellar Collapse with a Shock}, author={John C. Tsai and Juliana J. L. Hsu}, journal={The Astrophysical Journal}, year={1995}, volume={448}, pages={774} }

We reexamine both numerically and analytically the collapse of the singular isothermal sphere in the context of low-mass star formation. We consider the case where the onset of collapse is initiated by some arbitrary process which is accompanied by a central output of either heat or kinetic energy. We find two classes of numerical solutions describing this manner of collapse. The first approaches in time the expansion wave solution of Shu, while the second class is characterized by an ever…

## 32 Citations

Self-similar regimes for the collapse of magnetic protostellar clouds

- Physics
- 2008

Self-similar solutions describing the homogeneous, free, isothermal collapse of protostellar clouds are considered. One such solution correponds to the critical case of the propagation of a…

Gravitational Collapse and Star Formation in Logotropic and Nonisothermal Spheres

- Physics
- 1997

We present semianalytical similarity solutions for the inside out, expansion-wave collapse of initially virialized gas clouds with nonisothermal equations of state. Results are given for the family…

A Critical Accretion Rate for Triggered Star Formation

- Physics
- 2008

We reexamine the similarity solution for a self-gravitating isothermal gas sphere and consider the implications for star formation in turbulent clouds. For adequately chosen parameters, the…

Self-similar Collapse of Rotating Magnetic Molecular Cloud Cores

- Physics
- 1998

We present self-similar solutions that describe the gravitational collapse of rotating, isothermal, magnetic molecular cloud cores. These solutions make it possible, for the first time, to study the…

Shocked self-similar collapses and flows in star formation processes

- Physics
- 2004

We propose self-similar shocked flow models for certain dynamical evolution phases of young stellar objects, "champagne flows" of H II regions surrounding OB stars, and shaping processes of planetary…

Self-Similar Collapse of an Isopedic Isothermal Disk

- Physics
- 1997

We study the gravitational collapse of an isothermal disk which is isopedically magnetized (i.e., with a mass-to-flux ratio that is spatially constant). The two theorems concerning magnetic forces in…

Self-similar Champagne Flows in H II Regions

- Physics
- 2002

We consider the idealized expansion of an initially self-gravitating, static, singular, isothermal cloud core. For t ≥ 0, the gas is ionized and heated to a higher uniform temperature by the…

Self-similar shocks in polytropic gas flows around star-forming regions

- Physics
- 2006

Self-similar shock solutions in spherically symmetric polytropic gas flows are constructed and analysed in contexts of protostar formation processes. Among other possible solutions, we model a…

Self-similar dynamics of a relativistically hot gas

- Physics
- 2007

In the presence of self-gravity, we investigate the self-similar dynamics of a relativistically hot gas with or without shocks in astrophysical processes of stellar core collapse, formation of…

Spherical isothermal self-similar shock flows

- Physics
- 2005

We explore self-similar dynamical processes in a spherical isothermal self-gravitational fluid with an emphasis on shocks and outline astrophysical applications of such shock solutions. The previous…

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