arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0905.1388math.APmath-phmath.MP
收藏

微正则背景下描述自引力粒子的演化系统

On an evolution system describing self-gravitating particles in microcanonical setting

Robert Stańczy

摘要:

证明了一类具有一般扩散项和固定能量的引力吸引粒子相互作用系统解的整体存在性。所提出的理论涵盖的情况下,遵守费米-狄拉克统计的扩散模型。有些结果也适用于耗散多变的情况。

英文摘要:

The global in time existence of solutions of a system describing the interaction of gravitationally attracting particles with a general diffusion term and fixed energy is proved. The presented theory covers the case of the model with diffusion that obeys Fermi-Dirac statistics. Some of the results apply to the dissipative polytropic case as well.

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。

↑