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Estimate of the travelling wave speed for an integro-differential equation

Abstract : Travelling waves for nonlocal reaction–diffusion equations are studied. The minimax representation of the wave speed is obtained. It is used to obtain analytical estimates and asymptotic values of the speed. Two regimes of wave propagation are identified. One of them is dominated by diffusion and another one by the nonlocal interaction.
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https://hal.archives-ouvertes.fr/hal-01941455
Contributor : Vitaly Volpert Connect in order to contact the contributor
Submitted on : Tuesday, October 19, 2021 - 3:09:04 PM
Last modification on : Wednesday, November 3, 2021 - 5:56:21 AM
Long-term archiving on: : Thursday, January 20, 2022 - 7:18:03 PM

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Nikolay Bessonov, Anne Beuter, Sergei Trofimchuk, Vitaly Volpert. Estimate of the travelling wave speed for an integro-differential equation. Applied Mathematics Letters, Elsevier, 2019, 88, pp.103-110. ⟨10.1016/j.aml.2018.07.037⟩. ⟨hal-01941455⟩

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