Electron. J. Differential Equations, Vol. 2024 (2024), No. 69, pp. 1-14.

Long-time behavior of solutions for time-periodic reaction-diffusion equations and applications

Linlin Li, Zhuo Chen

Abstract:
This article concerns the asymptotic behavior of solutions for time-periodic reaction-diffusion equations with a drift term in one dimensional space. Assuming that drift term is decaying, we analyze the effect of the decaying rate of the drift term on the propagation speed of solutions. Also we show some applications of our results in high-dimensional domains.

Submitted January 6, 2024. Published November 11, 2024.
Math Subject Classifications: 35B09, 35B40, 35E15, 35K15, 35K57.
Key Words: Reaction-diffusion equation; asymptotic behavior; propagation speed.
DOI: 10.58997/ejde.2024.69

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Linlin Li
College of Science
University of Shanghai for Science and Technology
Shanghai, China
email: lilinlin@usst.edu.cn
Zhuo Chen
College of Science
University of Shanghai for Science and Technology
Shanghai, China
email: imchenz@163.com

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