论文标题
与局部相互作用的布朗颗粒的宏观极限
On the Macroscopic limit of Brownian Particles with local interaction
论文作者
论文摘要
考虑了由扩散过程与局部相互作用制成的相互作用粒子系统，并研究了非线性PDE的宏观极限。关于这个问题，很少有严格的结果，尤其是非线性的明确形式。本文回顾了这一主题，这是获得极限非线性PDE的一些主要思想，并就非线性的精确形式提供了启发式和数值信息，这些信息是关于文献的新事物，并且与少数已知信息相干。
An interacting particle system made of diffusion processes with local interaction is considered and the macroscopic limit to a nonlinear PDE is investigated. Few rigorous results exists on this problem and in particular the explicit form of the nonlinearity is not known. The paper reviews this subject, some of the main ideas to get the limit nonlinear PDE and provides both heuristic and numerical informations on the precise form of the nonlinearity which are new with respect to the literature and coherent with the few known informations.
