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arXiv · 1603.01677

Characteristic Initial Value Problem for Spherically Symmetric Barotropic Flow

André Lisibach
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Abstract

We study the equations of motion for a barotropic fluid in spherical symmetric flow. Making use of the Riemann invariants we consider the characteristic form of these equations. In a first part, we show that the resulting constraint equations along characteristics can be solved globally away from the center of symmetry. In a second part, given data on two intersecting characteristics, we show existence and uniqueness of a smooth solution in a neighborhood in the future of these characteristics.

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André Lisibach. 2016-03-05. Characteristic Initial Value Problem for Spherically Symmetric Barotropic Flow. https://arxiv.org/abs/1603.01677

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