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Time Memory Effect in Entropy Decay of Ornstein-Uhlenbeck Operators

机译:在熵的衰变时间记忆效果Ornstein-Uhlenbeck运营商

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摘要

We investigate the effect of memory terms on the entropy decay of the solutions to diffusion equations with Ornstein-Uhlenbeck operators. Our assumptions on the memory kernels include Caputo-Fabrizio operators and, more generally, the stretched exponential functions. We establish a sharp rate decay for the entropy. Examples and numerical simulations are also given to illustrate the results.
机译:我们研究内存条件的影响熵解扩散衰减方程与Ornstein-Uhlenbeck运营商。假设在内存内核包括Caputo-Fabrizio运营商,更普遍的是,拉伸指数函数。熵率急剧衰减。数值模拟也给说明结果。

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