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.
- Chen Guiqiang, Convergence of the Lax-Friedrichs scheme for isentropic gas dynamics (III). Acta Math. Sci.,6 (1986), 75–120.
- Ding Xiaxi, Chen Guiqiang and Luo Peizhu, Convergence of the Lax-Friedrichs scheme for isentropic gas dynamics (I), (II) Acta Math. Sci.,5 (1985), 415–432, 433–472.
- Ding Xiaxi, Chen Guiqiang and Luo Peizhu, Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics. Comm. Math. Phys.,121 (1989), 63–84. CrossRef
- T. Makino, Les solutions à support compact de l’équation du mouvement des atmosphères d’étoiles. Japan J. Appl. Math.,6 (1989), 479–489. CrossRef
- T. Makino, Blowing up solutions of the Euler-Poisson equation for the evolution of gaseous stars. Transport Theory Statist. Phys.,21 (1992), 615–624. CrossRef
- T. Makino, K. Mizohata and S. Ukai, The global weak solutions of the compressible Euler equation with spherical symmetry. Japan, J. Indust. Appl. Math.,9 (1992), 431–449.
- S. Takeno, Initial boundary value problems for isentropic gas dynamics. Proc. Roy. Soc. Edinburgh,120A (1992), 1–23.
- 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
- Cover Date
- Print ISSN
- Online ISSN
- Additional Links
- initial boundary value problem
- isentropic gas dynamics
- spherically symmetric motion
- weak solutions
- 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