The evolution of galactic shock wave for density wave theory

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Density Wave Model, Galactic Evolution, Gas Dynamics, Gravitational Effects, Shock Wave Propagation, Cosmology, Gas Density, Gravitational Fields, Propagation Velocity, Space-Time Functions, Velocity Distribution

Scientific paper

Within the framework of density wave theory, it is generally assumed that the solution for the galactic shock wave is a local solution and does not take into account gaseous self-gravitation. The present paper presents a solution of the unsteady two-dimensional gas dynamic equations which is not consistent with these assumptions. The process of the formation of a galactic shock wave in response to an applied perturbed spiral gravitational field within an initial axisymmetric gaseous disk is studied, and velocity and gas density distributions are obtained. The present results are shown to be in qualitative but not quantitative agreement with the local shock wave solution without gaseous self-gravitation. The pattern velocity of the galactic shock grand design is found to vary greatly in time and space. Because the typical time for shock wave formation is about 500 million years, it would be difficult to maintain a galactic density wave with quasi-stationary properties, although large-scale galactic shock wave grand designs exist at any given time.

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