Spreading speed for a KPP type reaction-diffusion system with heat losses and fast decaying initial data (Q2208443)
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| English | Spreading speed for a KPP type reaction-diffusion system with heat losses and fast decaying initial data |
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Spreading speed for a KPP type reaction-diffusion system with heat losses and fast decaying initial data (English)
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3 November 2020
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In this work the author considers a two-components reaction-diffusion system of KPP type with heat losses in a straight cylinder. Some heterogeneity in the cross-section is allowed. The large time behaviour of solutions with typically compactly supported initial data is investigated. Provided some threshold condition is satisfied to avoid extinction, a spreading speed is derived which is also the minimal travelling wave speed, and a precise location of the front is obtained up to a logarithmic drift. Decay estimates for the solutions ahead of the front are also established.
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spreading speed
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reaction-diffusion system of KPP type
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heat losses
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minimal travelling wave speed
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Decay estimates
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