Solutions of Euler-Poisson Equations in R |
| |
Authors: | Deng Yinbin Gao Yan Xiang Jianlin |
| |
Affiliation: | aDepartment of Mathematics, Huazhong Normal University, Wuhan 430079, China;bDepartment of Mathematics and Physics, Wuhan University of Science and Engineering, Wuhan 430073, China;cSchool of Science, Wuhan University of Technology, Wuhan 430070, China |
| |
Abstract: | In this article, the authors study the structure of the solutions for the EulerPoisson equations in a bounded domain of Rn with the given angular velocity and n is an odd number. For a ball domain and a constant angular velocity, both existence and nonexistence theorem are obtained depending on the adiabatic gas constant γ. In addition,they obtain the monotonicity of the radius of the star with both angular velocity and center density. They also prove that the radius of a rotating spherically symmetric star, with given constant angular velocity and constant entropy, is uniformly bounded independent of the central density. This is different to the case of the non-rotating star. |
| |
Keywords: | Euler-Poisson equations existence |
本文献已被 维普 万方数据 ScienceDirect 等数据库收录! |
|