頁籤選單縮合
題名 | The Critical Mass of Compressible Viscous Gas-Stars= |
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作者 | 管文麒; Kuan, Wen-chi; |
期刊 | Taiwanese Journal of Mathematics |
出版日期 | 19980900 |
卷期 | 2:3 1998.09[民87.09] |
頁次 | 頁369-381 |
分類號 | 314.22 |
語文 | eng |
關鍵詞 | Self-gravitating; Compressible; Viscous; Nonisentropic; Pohozaev identity; |
英文摘要 | Let γ be the adiabatic index of self-gravitating, spherically symmetric motion of compressible viscous gas-star. When γ�e(1,2], we prove the existence of nonisentropic equilibrium. Furthermore, at the adiabatic index γ=4/3, we found a family of particular solutions which corresponds to an expansive (contractive) gaseous star. Moreover, we find that there is a critical total mass Mο. If the total mass M of star is less than Mο, then the star expands infinitely. However, if M≧Mο, then there is an "escape velocity" υeγ associated with M and the initial configuration of the star. If υ(0,γ)≧υeγ, then the star will expand infinitely. If υ(0,γ)<υeγ, then it will collapse after a finite time. |
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