论文标题
恒星基地状态的两个物种Thomas-Fermi模型
A Two Species Thomas-Fermi Model for Stellar Ground States
论文作者
论文摘要
我们为具有非相关动能的自我磨碎的非旋转充电身体的Thomas-Fermi型两流体模型提供了能量功能。我们证明，在某些条件下，充电和带负电荷的颗粒的总数，有一个最小化器，并且两种流体都具有紧凑的支持。假设对颗粒总数的进一步条件，我们证明了特殊的相对论动能的结果相同。在非相关动力学情况下，我们进一步证明了最小化器的独特性，以及目前的结果将最小化器的一般形状与颗粒总数有关。
We present an energy functional for a Thomas-Fermi type two-fluid model of a self-gravitating non-rotating charged body, with a non-relativistic kinetic energy. We prove that, under certain conditions on the total number of positively charged and negatively charged particles, a minimizer exists and both fluids have compact support. We prove the same result for special relativistic kinetic energy, assuming further conditions on the total number of particles. In the non-relativistic kinetic energy case, we further prove the uniqueness of the minimizer, as well as present results relating the general shape of the minimizer to the total number of particles.
