Initial boundary value problem for the spherically symmetric motion of isentropic gas
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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.
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- Initial boundary value problem for the spherically symmetric motion of isentropic gas
Japan Journal of Industrial and Applied Mathematics
Volume 11, Issue 1 , pp 171-183
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- initial boundary value problem
- isentropic gas dynamics
- spherically symmetric motion
- weak solutions
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- Author Affiliations
- 1. Department of Liberal Arts, Osaka Sangyo University, 3-1-1, Nakagaito, Daito, 574, Osaka, Japan
- 2. Department of Mathematical Sciences, Graduate School of Science and Technology, Niigata University, Ninocho-8050, Ikarashi, 950-21, Niigata City, Japan