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Global weak solutions for the equation of isothermal gas around a star. (English) Zbl 0833.35114

Study of the spherical symmetric motion under the gravitational force around a solid star. The Euler equations are supplemented by the equation of state \(p/\rho=\text{const}\), and the initial data are of bounded variation.

MSC:

35Q35 PDEs in connection with fluid mechanics
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
85A20 Planetary atmospheres
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