Problems on gravitational collapse of interstellar gas clouds. II - Caustic and critical times for a one-dimensional hydrodynamic model

Details Problems on gravitational collapse of interstellar gas clouds. II - Caustic and critical times for a one-dimensional hydrodynamic model Problems on gravitational collapse of interstellar gas clouds. II - Caustic and critical times for a one-dimensional hydrodynamic model

Jul 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..56..303f&link_type=abstract

Astrophysics and Space Science, vol. 56, no. 2, July 1978, p. 303-321. Research supported by the Consiglio Nazionale delle Rice

Astronomy and Astrophysics

Astrophysics

3

Gravitational Collapse, Interstellar Gas, Stellar Evolution, Hydrodynamics, Nebulae, Wave Fronts

Scientific paper

The gravitational collapse of a spherically symmetric interstellar gas cloud has been investigated following the non-linear discontinuity waves propagation theory. It has been pointed out that macroscopic phenomena, such as the process of fragmentation, can arise (shock wave formation) - even in the case of spherical symmetry - at times smaller than the free-fall time tff, provided the initial data of the Cauchy problem be discontinuous within a sphere of radius < R~OU~ (caustic cases). It has also been proved that strong discontinuities outside the mentioned sphere may generate critical times tcr < tf~ (depending on the typical non-linear structure of the differential system). The cooling-heating function plays an important role in contrasting the formation of shock waves

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