Electronic Journal of Differential Equations, Vol. 2024 (2024), No. 69, pp. 1-14.

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

Authors: Linlin Li (Univ. of Shanghai for Science and Tech., Shanghai, China)
         Zhuo Chen (Univ. of Shanghai for Science and Tech., Shanghai, China)

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.