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arXiv · 2206.15161

Discontinuous stationary solutions to certain reaction-diffusion systems

Szymon Cygan·Anna Marciniak-Czochra·Grzegorz Karch
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Abstract

Systems consisting of a single ordinary differential equation coupled with one reaction-diffusion equation in a bounded domain and with the Neumann boundary conditions are studied in the case of particular nonlinearities from the Brusselator model, the Gray-Scott model, the Oregonator model and a certain predator-prey model. It is shown that the considered systems have the both smooth and discontinuous stationary solutions, however, only discontinuous ones can be stable.

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Szymon Cygan, Anna Marciniak-Czochra, Grzegorz Karch. 2022-06-30. Discontinuous stationary solutions to certain reaction-diffusion systems. https://arxiv.org/abs/2206.15161

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