Initial boundary value problem for the spherically symmetric motion of isentropic gas
作者： Tetu Makino , Shigeharu Takeno
DOI: 10.1007/BF03167220
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摘要: We study the spherically symmetric motion of an ideal gas surrounding a solid ball. This is governed by compressible Euler equation isentropic dynamics. The associated initial boundary value problem solved using compensated compactness method for data containing vacuum. constructed weak solutions are temporally local but class includes stationary solutions.
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sci-hub.se 参考文章(7)
Ding Xiaxi, Chen Gui-Qiang, Luo Peizhu, Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics Communications in Mathematical Physics. ,vol. 121, pp. 63- 84 ,(1989) , 10.1007/BF01218624
Tetu Makino, Kiyoshi Mizohata, Seiji Ukai, Global weak solutions of the compressible Euler equation with spherical symmetry (II) Japan Journal of Industrial and Applied Mathematics. ,vol. 11, pp. 417- 426 ,(1994) , 10.1007/BF03167230
Shigeharu Takeno, Initial boundary value problems for isentropic gas dynamics Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 120, pp. 1- 23 ,(1992) , 10.1017/S0308210500014955
Tetu Makino, Kiyoshi Mizohata, Seiji Ukai, The global weak solutions of compressible Euler equation with spherical symmetry Japan Journal of Industrial and Applied Mathematics. ,vol. 9, pp. 431- 449 ,(1992) , 10.1007/BF03167276
Tetu Makino, Blowing up solutions of the euler-poisson equation for the evolution of gaseous stars Transport Theory and Statistical Physics. ,vol. 21, pp. 615- 624 ,(1992) , 10.1080/00411459208203801
Tetu Makino, Les solutions à support compact de l’équation du mouvement des atmosphères d’étoiles Japan Journal of Applied Mathematics. ,vol. 6, pp. 479- 489 ,(1989) , 10.1007/BF03167889
Guiqiang Chen, CONVERGENCE OF THE LAX–FRIEDRICHS SCHEME FOR ISENTROPIC GAS DYNAMICS (III) Acta Mathematica Scientia. ,vol. 5, pp. 415- 432 ,(1985) , 10.1016/S0252-9602(18)30535-6