| Autor: |
Besse, Christophe, Capel, Alexandre, Faye, Grégory, Fouilhé, Guilhem |
| Předmět: |
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| Zdroj: |
Discrete & Continuous Dynamical Systems - Series B; Dec2023, Vol. 28 Issue 12, p1-31, 31p |
| Abstrakt: |
In this paper, we study the asymptotic behavior of the solutions of nonlocal bistable reaction-diffusion equations starting from compactly supported initial conditions. Depending on the relationship between the nonlinearity, the interaction kernel and the diffusion coefficient, we show that the solutions can either: propagate, go extinct or remain pinned. We especially focus on the latter regime where solutions are pinned by thoroughly studying discontinuous ground state solutions of the problem for a specific interaction kernel serving as a case study. We also present a detailed numerical analysis of the problem. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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