半无限圆柱体中Forchheimer流体方程的空间衰减估计

Pub Date : 2022-12-07 DOI:10.21136/AM.2022.0196-22

Xuejiao Chen, Yuanfei Li

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引用次数: 1

摘要

在Forchheimer方程模型中研究了解的空间行为。利用能量估计方法和微分不等式技术，导出了解的指数衰减界。为了明确衰变边界，我们得到了总能量的上界。我们还扩展了Forchheimer多孔材料在饱和多孔介质中的空间行为研究。

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Spatial decay estimates for the Forchheimer fluid equations in a semi-infinite cylinder

The spatial behavior of solutions is studied in the model of Forchheimer equations. Using the energy estimate method and the differential inequality technology, exponential decay bounds for solutions are derived. To make the decay bounds explicit, we obtain the upper bound for the total energy. We also extend the study of spatial behavior of Forchheimer porous material in a saturated porous medium.

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