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arXiv · 2410.06404

Stability of Single Transition Layer in Mass-Conserving Reaction-Diffusion Systems with Bistable Nonlinearity

Hideo Ikeda·Masataka Kuwamura
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Abstract

Mass-conserving reaction-diffusion systems with bistable nonlinearity are considered under general assumptions. The existence of stationary solutions with a single internal transition layer in such reaction-diffusion systems is shown using the analytical singular perturbation theory. Moreover, a stability criterion for the stationary solutions is provided by calculating the Evans function.

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Hideo Ikeda, Masataka Kuwamura. 2025-05-21. Stability of Single Transition Layer in Mass-Conserving Reaction-Diffusion Systems with Bistable Nonlinearity. https://doi.org/10.1016/j.jde.2025.113430

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