论文标题
布朗运动的归化爱因斯坦模型的迭代能量估计
An Iterative Energy Estimate for Degenerate Einstein model of Brownian motion
论文作者
论文摘要
当碰撞前移动粒子的时间间隔与在时间t观察x时,我们考虑脱离einsteins brownian运动模型。当U接近0时,控制流体的特征的参数0 <tau <c几乎无法降低。这种退化导致粒子分布在介质中的定位。在本文中,我们提出了时间间隔的结构条件和这些自由跳跃的频率,作为u的功能,可以保证u的传播速度有限。
We consider the degenerate Einsteins Brownian motion model when the time interval of the moving particles before the collisions, is reciprocal to the number of particles per unit volume u(x,t), at the point of observation x at time t. The parameter 0 < tau < C, which controls the characteristics of the fluid, almost increases unboundedly, as u approaches 0. This degeneration leads to the localization of the particle distribution in the media. In the paper, we present a structural condition of the time interval and the frequency of these free jumps, as functions of u which guarantees the finite speed of propagation of u.