Discontinuous stationary solutions to certain reaction-diffusion systems
| Autor: | Cygan, Szymon, Marciniak-Czochra, Anna, Karch, Grzegorz |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 14 pages, 3 figures |
| Databáze: | arXiv |
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