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Geometric analysis of fast-slow PDEs with fold singularities via Galerkin discretisation

Autor: Engel, Maximilian, Hummel, Felix, Kuehn, Christian, Popović, Nikola, Ptashnyk, Mariya, Zacharis, Thomas

Publikováno v: Nonlinearity 37.11 (2024): 115017

We study a singularly perturbed fast-slow system of two partial differential equations (PDEs) of reaction-diffusion type on a bounded domain via Galerkin discretisation. We assume that the reaction kinetics in the fast variable realise a generic fold

Externí odkaz: http://arxiv.org/abs/2207.06134

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Geometric singular perturbation theory for reaction-diffusion systems

Autor: Zacharis, Thomas

Geometric singular perturbation theory (GSPT) has proven to be an invaluable tool for the study of multiple time scale ordinary differential equations (ODEs). The extension of the theory to partial differential equations (PDEs) presents significant c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______463::8c22ae2c5fd10a200128f3161686178f
https://hdl.handle.net/1842/40690

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Geometric analysis of fast-slow PDEs with fold singularities

Autor: Engel, Maximilian, Hummel, Felix, Kuehn, Christian, Popović, Nikola, Ptashnyk, Mariya, Zacharis, Thomas

We study a singularly perturbed fast-slow system of two partial differential equations (PDEs) of reaction-diffusion type on a bounded domain. We assume that the reaction terms in the fast variable contain a fold singularity, whereas the slow variable

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c73625f3bf8664a65f590994ce5b82b
http://arxiv.org/abs/2207.06134

Zobrazit plný text záznamu