论文标题
与乘法噪声的随机保护定律的均质化
Homogenization of Stochastic Conservation Laws with Multiplicative Noise
论文作者
论文摘要
我们考虑了具有振荡系数和乘法噪声的两种不同类型的随机保护定律的广义周期性均质化问题。在这两种情况下，随机扰动都使方程式允许在确定性情况下在稳态溶液中起作用的特殊随机解决方案。这些随机溶液特别是第二类是均化分析中的关键要素。我们的均质化方法基于随机二级Young措施的概念，在此建立了其存在。
We consider the generalized almost periodic homogenization problem for two different types of stochastic conservation laws with oscillatory coefficients and multiplicative noise. In both cases the stochastic perturbations are such that the equation admits special stochastic solutions which play the role of the steady-state solutions in the deterministic case. Specially in the second type, these stochastic solutions are crucial elements in the homogenization analysis. Our homogenization method is based on the notion of stochastic two-scale Young measure, whose existence is established here.
