Spatial decay bound and structural stability for the double-diffusion perturbation equations

Yuanfei Li; Xuejiao Chen; Yuanfei Li; Xuejiao Chen

doi:10.3934/mbe.2023142

Mathematical Biosciences and Engineering

2023, Volume 20, Issue 2: 2998-3022. doi: 10.3934/mbe.2023142

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Spatial decay bound and structural stability for the double-diffusion perturbation equations

Yuanfei Li ^,,
Xuejiao Chen

School of Data Science, Guangzhou Huashang College, Guangdong 511300, China

Academic Editor: Jesús Martín Vaquero

Received: 05 October 2022 Revised: 07 November 2022 Accepted: 12 November 2022 Published: 01 December 2022

In this paper, we study the double-diffusion perturbation equations when the flow is through a porous medium. If the initial conditions satisfy some constraint conditions, the Saint-Venant type spatial decay of solutions for double-diffusion perturbation equations is obtained. Based on the spatial decay bound, the structural stability for the double-diffusion perturbation equations is also established.
- perturbation equations,
- spatial decay,
- Saint-Venant type,
- structural stability
Citation: Yuanfei Li, Xuejiao Chen. Spatial decay bound and structural stability for the double-diffusion perturbation equations[J]. Mathematical Biosciences and Engineering, 2023, 20(2): 2998-3022. doi: 10.3934/mbe.2023142

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Abstract

In this paper, we study the double-diffusion perturbation equations when the flow is through a porous medium. If the initial conditions satisfy some constraint conditions, the Saint-Venant type spatial decay of solutions for double-diffusion perturbation equations is obtained. Based on the spatial decay bound, the structural stability for the double-diffusion perturbation equations is also established.

References

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