题目：Asymptotic Spreading of Interacting Species with Multiple Fronts
报告人：King-Yeung Lam assistant professor （Ohio State University）
We establish spreading properties of the Lotka-Volterra competition-diffusion system. When the initial data vanish on a right half-line, we show that there are two successive invasions. We derive the formulas of the exact spreading speeds and prove the convergence to homogeneous equilibrium states in between the invasion fronts. Our method is inspired by the geometric optics approach for Fisher-KPP equation due to the work of Freidlin, and that of Evans and Souganidis. Our main result settles an open question raised by Shigesada and Kawasaki in 1997, and shows that one of the species spreads to the right with a speed which is linearly, but non-locally, determined.
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