Kinematics of spherical waves in interstellar gas clouds. (March 2018) - Gupta, Bhawna
Abstract: In this paper, a system of partial differential equations describing an inviscid, one dimensional, self-gravitating and spherically symmetric interstellar gas cloud is considered. An infinite set of transport equations is obtained by using the method based on the kinematics of one dimensional motion of shock waves. A truncation procedure is used to put an end to infinite hierarchy of equations. The first three truncated equations (i.e. zeroth, first and second orders) describing shock strength and the induced discontinuities are considered and used to study the growth and decay of shock waves in the medium. Highlights: A system of PDEs describing one dimensional, self gravitating and spherically symmetric interstellar gas cloud is considered. The method based on the kinematics of one dimensional motion of shock waves is used to derive an infinite set of transport equations. The zeroth, first and second order truncated equations describing shock strength and the induced discontinuities are considered. The truncated equations are used to study the growth and decay of shock waves in the medium.