论文标题
在几乎周期性功能的空间中,使用Lipschitz通量的随机保护定律的不变措施
Invariant measures for stochastic conservation laws with Lipschitz flux in the space of almost periodic functions
论文作者
论文摘要
我们研究了在Lipschitz的通量函数的连续性和非分类条件的假设下,在任何空间维度下,几乎周期性解决方案在任何空间维度上的长期行为。我们显示了在Besicovitch几乎周期性函数的空间中不变度量的存在和独特性。
We study the long-time behavior of almost periodic solutions to stochastic scalar conservation laws in any space dimension, under the assumption of Lipschitz continuity of the flux functions and a non-degeneracy condition. We show the existence and uniqueness of an invariant measure in the space of Besicovitch almost periodic functions.