标题： 模糊朗道方程：全局适定性和费舍尔信息 显示英文标题

标题： The fuzzy Landau equation: global well-posedness and Fisher information

摘要： 我们研究了非均匀朗道方程的模糊变体，并建立了中等软势能下全局时间存在性和光滑解的唯一性。 在碰撞算子中引入的空间去局域化不仅增强了正则性并防止了奇点的形成，还揭示了该模型的额外结构特性。 特别是，我们证明了几种形式的费舍尔信息随时间单调衰减或保持一致有界。 显示英文摘要

摘要： We study a fuzzy variant of the inhomogeneous Landau equation and establish global-in-time existence and uniqueness of smooth solutions for moderately soft potentials. The spatial delocalization introduced in the collision operator not only enhances regularity and prevents singularity formation, but also reveals additional structural properties of the model. In particular, we show that several forms of the Fisher information decay monotonically or remain uniformly bounded in time.