中子星的爆破剖面在Krasekhar理论中的应用
Blow-up Profile of Neutron Stars in the Chandrasekhar theory
摘要：
我们研究了中子星的Eschrasekhar变分模型，有或没有外部的潜力。证明了当吸引相互作用强度$τ$严格小于Pumrasekhar极限$τ_c$时极小解的存在性，并研究了在极限$τ\uparrow τ_{c}$下的爆破现象.我们证明了极小元的爆破轮廓由Lane-Emden解给出。
英文摘要：
We study the Chandrasekhar variational model for neutron stars, with or without an external potential. We prove the existence of minimizers when the attractive interaction strength $τ$ is strictly smaller than the Chandrasekhar limit $τ_c$ and investigate the blow-up phenomenon in the limit $τ\uparrow τ_{c}$. We show that the blow-up profile of the minimizer(s) is given by the Lane-Emden solution.
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