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Structural stability for temperature-dependent bidispersive flow in a semi-infinite pipe

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Abstract

We study the bidispersive flow describing real phenomena such as reservoir exploitation or landslides with their catastrophic effect on human life. By using the differential inequality technique we derive the L4 norm for temperature and a priori estimates of the solution under Newton’s cooling boundary conditions. Using a prior estimates of the solutions and setting an appropriate “energy” function, we obtain the continuous dependence on the Newton’s cooling coefficient and the interaction coefficient in a semi-infinite pipe.

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  1. School of data science, Guangzhou Huashang College, Guangzhou, 511300, Guangdong, China

    Yuanfei Li & Xuejiao Chen

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  1. Yuanfei Li
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Yuanfei Li is supported by the Key projects of universities in Guangdong Province (Natural Science) (2019KZDXM042) and Research team project of Guangzhou Huashang College (2021HSKT01).

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Li, Y., Chen, X. Structural stability for temperature-dependent bidispersive flow in a semi-infinite pipe. Lith Math J 63, 337–366 (2023). https://doi.org/10.1007/s10986-023-09600-4

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