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- W4386982895 abstract "Abstract Reaction–diffusion equations are studied on bounded, time-periodic domains with zero Dirichlet boundary conditions. The long-time behaviour is shown to depend on the principal periodic eigenvalue of a transformed periodic-parabolic problem. We prove upper and lower bounds on this eigenvalue under a range of different assumptions on the domain, and apply them to examples. The principal eigenvalue is considered as a function of the frequency, and results are given regarding its behaviour in the small and large frequency limits. A monotonicity property with respect to frequency is also proven. A reaction–diffusion problem with a class of monostable nonlinearity is then studied on a periodic domain, and we prove convergence to either zero or a unique positive periodic solution." @default.
- W4386982895 created "2023-09-24" @default.
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- W4386982895 date "2023-09-23" @default.
- W4386982895 modified "2023-10-18" @default.
- W4386982895 title "Reaction–Diffusion Problems on Time-Periodic Domains" @default.
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- W4386982895 doi "https://doi.org/10.1007/s10884-023-10308-9" @default.
- W4386982895 hasPublicationYear "2023" @default.
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