Research-Bistable Traveling Fronts in Periodic Media: High Dimensional Case

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Bistable Traveling Fronts in Periodic Media: High Dimensional Case

Speaker: Xing Liang（University of Science and Technology of China）
Time: Jun 9, 2026, 15:00-16:00
Location: Room M616, College of Science Building

Abstract

We investigate N-dimensional spatially periodic reaction-diffusion equations with convection terms and establishes a complete theoretical framework for bistable pulsating traveling waves in the small-period regime. By applying the implicit function theorem (IFT) combined with the quantitative homogenization method, we prove the existence, uniqueness and stability of pulsating traveling waves in appropriate function spaces.