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A priori estimates and analytical construction of radially symmetric solutions in the gas dynamics

Published 30 Jul 2013 in math.AP | (1307.7885v3)

Abstract: In this article we derive C1-a priori estimates on the Riemann invariants of the Euler compressible equations in the case of cylindrical or spherical symmetry. These estimates allow then to construct shock waves with a time of existence proportional to the distance to the origin at the initial time.

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