Title: Turbulent and intermittent phenomena in a universal total anomalous dissipator Show Chinese title

Title: 湍流和间歇性现象在通用总异常耗散器中

Abstract: For all $\alpha \in (0,1)$, we construct an explicit divergence-free vector field $V \in L^\infty([0,1],C^\alpha(\mathbb{T}^2))$ that exhibits universal anomalous (total) dissipation, accelerating dissipation enhancement, Richardson dispersion, anomalous regularization, and spatial intermittency. Additionally, we demonstrate the sharpness of the intermittent Obukhov-Corrsin regime for certain parameter ranges. Show Chinese abstract

Abstract: 对于所有$\alpha \in (0,1)$，我们构造了一个显式的无散向量场$V \in L^\infty([0,1],C^\alpha(\mathbb{T}^2))$，该向量场表现出普遍的异常（总）耗散，加速耗散增强，理查森扩散，异常正则化和空间间歇性。 此外，我们展示了在某些参数范围内的间歇性Obukhov-Corrsin区间的紧致性。