Transition fronts of combustion reaction-diffusion equations in some unbounded domains
Yangyang Yan
Harbin Institute of Technology, Chine
Date(s) : 05/11/2024 iCal
11h00 - 12h00
In this talk, I will discuss the existence of nonstandard transition fronts and the uniqueness of the global mean speed of combustion reaction-diffusion equations in some unbounded domains. I will first show that there exists a transition front behaving as a V-shaped front in exterior domains. Then, I will show that in domains with multiple cylindrical branches, there is a transition front emanating from planar traveling fronts in some branches and converging to some planar traveling fronts in the rest of the branches as time goes to +∞. I will also show that in exterior domains and in domains with multiple cylindrical branches, any transition front connecting 0 and 1 has a unique global mean speed which turns out to be equal to the planar wave speed under some appropriate conditions. The talk is based on some joint works with Wei-Jie Sheng and Zhi-Cheng Wang.
Emplacement
Saint-Charles - FRUMAM (2ème étage)
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