Bohm势对自相互作用粒子稳态宏观系统的影响
On the Effects of Bohm's Potential on a Stationary Macroscopic System of Self-Interacting Particles
摘要：
我们考虑一个描述自引力粒子系统的宏观模型。我们研究了非负定态解的存在唯一性，并指出了与经典引力模型结果的不同之处。该问题被认为是在一个有界域上的三维空间，受诺依曼边界条件的粒子密度，和Dirichlet边界条件的自相互作用的潜力。最后，我们展示了数值模拟，证实了我们的研究结果。
英文摘要：
We consider a macroscopic model describing a system of self-gravitating particles. We study the existence and uniqueness of non-negative stationary solutions and allude the differences to results obtained from classical gravitational models. The problem is considered on a bounded domain up to three space dimension, subject to Neumann boundary condition for the particle density, and Dirichlet boundary condition for the self-interacting potential. Finally, we show numerical simulations that affirm our findings.
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