Geodesic
Spatial decay estimates for the Forchheimer fluid equations in a semi-infinite cylinder
Applications of Mathematics, Tome 68 (2023) no. 5, pp. 643-660

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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.
DOI : 10.21136/AM.2022.0196-22
Classification : 35B40, 35Q30, 76D05
Keywords: spatial behavior; Forchheimer equations; energy estimate bounds; upper bound; porous medium 
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Chen, Xuejiao; Li, Yuanfei. Spatial decay estimates for the Forchheimer fluid equations in a semi-infinite cylinder. Applications of Mathematics, Tome 68 (2023) no. 5, pp. 643-660. doi: 10.21136/AM.2022.0196-22

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