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Behavior of a boundary of moving volume inside of a smooth flow of compressible liquid

Olga Rozanova
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Abstract

The question on expansion of moving volume inside of a smooth flow of the compressible liquid is under consideration. We find a condition on initial data such that if it holds, then within a finite time either the boundary of the moving volume attains a given neighborhood of a certain point (that do not belong to the volume initially), or some a priori estimate for the pressure on the boundary of volume fails.

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Olga Rozanova. 2005-11-28. Behavior of a boundary of moving volume inside of a smooth flow of compressible liquid. https://arxiv.org/abs/math-ph/0511088

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