论文标题
在几乎周期性功能的空间中的随机抛物线式纤维方程的不变措施:Lipschitz Flux Case
Invariant measures for stochastic parabolic-hyperbolic equations in the space of almost periodic functions: Lipschitz flux case
论文作者
论文摘要
我们在任何空间维度下对随机退化的抛物线抛物性 - 纤维方程的几乎周期性解决方案的长期行为和长期行为,在Lipschitz的通量和粘度函数的Lipschitz连续性和非降低条件下。我们在Besicovitch空间的可分离子空间中显示了一个不变度度量的存在和唯一性。
We study the well-posedness and the long-time behavior of almost periodic solutions to stochastic degenerate parabolic-hyperbolic equations in any space dimension, under the assumption of Lipschitz continuity of the flux and viscosity functions and a non-degeneracy condition. We show the existence and uniqueness of an invariant measure in a separable subspace of the space of Besicovitch almost periodic functions.