Speed limits of time almost periodic traveling waves for rapidly/ slowly oscillating reaction-diffusion equations
Date(s) : 09/09/2025 iCal
11h00 - 12h00
This talk is concerned with the wave propagation dynamics of time almost periodic reaction-diffusion equations. Assuming the existence of a time almost periodic traveling wave connecting two stable steady states, we focus on the asymptotic behavior of wave speeds in both rapidly and slowly oscillating environments. We prove that, in the rapidly oscillating case, the average speed of the time almost periodic wave converges to the constant wave speed of the homogenized equation. On the other hand, in the slowly oscillating case, the average speed converges to the arithmetic mean of the wave speeds for a family of equations with frozen coefficients. These explicit formulas for the limits of speeds also show the significant influences of temporal variations on wave propagation phenomena. Even in the periodic environment, it can alter the sign of bistable wave speeds.
Emplacement
I2M Saint-Charles - Salle de séminaire
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