The compressible Euler equations for an isothermal gas with spherical symmetry
Tsuge, Naoki
J. Math. Kyoto Univ., Tome 43 (2003) no. 4, p. 737-754 / Harvested from Project Euclid
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We shall study isothermal gas dynamics with spherical symmetry. In this case, existence theorems have been obtained outside a solid ball. However, little is known for the case including the origin, because the equation has a singularity there. In this paper, we will present discontinuous solutions for this case, by introducing a certain non-homogeneous conservation laws and using a modified Glimm’s scheme.
Publié le : 2003-05-15
Classification:  76N10,  35L67,  35Q35,  76N15 
@article{1250281733,
     author = {Tsuge, Naoki},
     title = {The compressible Euler equations for an isothermal gas with spherical symmetry},
     journal = {J. Math. Kyoto Univ.},
     volume = {43},
     number = {4},
     year = {2003},
     pages = { 737-754},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281733}
}

Tsuge, Naoki. The compressible Euler equations for an isothermal gas with spherical symmetry. J. Math. Kyoto Univ., Tome 43 (2003) no. 4, pp.  737-754. http://gdmltest.u-ga.fr/item/1250281733/