, Volume 11, Issue 1, pp 171-183

Initial boundary value problem for the spherically symmetric motion of isentropic gas

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Abstract

We study the spherically symmetric motion of an ideal gas surrounding a solid ball. This is governed by the compressible Euler equation of isentropic gas dynamics. The associated initial boundary value problem is solved by using the compensated compactness method for initial data containing the vacuum. The constructed weak solutions are temporally local but the class of initial data includes the stationary solutions.