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• W2968763943 abstract "This is part two of our study on the spreading properties of the Lotka-Volterra competition-diffusion systems with a stable coexistence state. We focus on the case when the initial data are exponential decaying. By establishing a comparison principle for Hamilton-Jacobi equations, we are able to apply the Hamilton-Jacobi approach for Fisher-KPP equation due to Freidlin, Evans and Souganidis. As a result, the exact formulas of spreading speeds and their dependence on initial data are derived. Our results indicate that sometimes the spreading speed of the slower species is nonlocally determined. Connections of our results with the traveling profile due to Tang and Fife, as well as the more recent spreading result of Girardin and Lam, will be discussed." @default.
• W2968763943 created "2019-08-22" @default.
• W2968763943 creator A5000510528 @default.
• W2968763943 creator A5000979147 @default.
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• W2968763943 date "2019-08-14" @default.
• W2968763943 modified "2023-10-15" @default.
• W2968763943 title "Asymptotic spreading of interacting species with multiple fronts II: Exponentially decaying initial data" @default.
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• W2968763943 doi "https://doi.org/10.48550/arxiv.1908.05026" @default.
• W2968763943 hasPublicationYear "2019" @default.
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