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Wave speeds in delayed diffusion equations with ignition and degenerate nonlinearities

Nonlinear Analysis: Real World Applications, ISSN: 1468-1218, Vol: 77, Page: 104064
2024
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Article Description

This article explores the factors that affect the unique wave speed in delayed ignition equation and the minimal wave speed in delayed degenerate equation. In the ignition case, it is proved that the unique wave speed is strictly decreasing and continuous with respect to the delay and ignition temperature, respectively. Under the degenerate case, by a class of auxiliary equations and the detailed asymptotic higher order expansion, the monotonicity and continuity of the minimal wave speed in the delay and degeneracy are established. Our results demonstrate that the delay and degeneracy can slow down the minimal wave speed strictly with some additional assumptions on the nonlinearities.

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