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arXiv 1509.06015math.DSmath.PR
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连续介质中排斥合并随机跳跃的动力学方程

A kinetic equation for repulsive coalescing random jumps in continuum

Krzysztof Pilorz

摘要:

介绍并研究了一种基于连续体个体的粒子跳跃和聚结模型。其微观动力学由本文得到的一系列发展方程描述。然后,从微观到介观动力学的通道是通过一个Vlasov型缩放。证明了相应动力学方程解的存在唯一性。

英文摘要:

A continuum individual-based model of hopping and coalescing particles is introduced and studied. Its microscopic dynamics are described by a hierarchy of evolution equations obtained in the paper. Then the passage from the micro- to mesoscopic dynamics is performed by means of a Vlasov-type scaling. The existence and uniqueness of the solutions of the corresponding kinetic equation are proved.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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