Propagation in a Fractional Reaction–Diffusion Equation in a Periodically Hostile Environment
Abstract We provide an asymptotic analysis of a fractional Fisher-KPP type equation in periodic non-connected media with Dirichlet conditions outside the domain. After showing the existence and uniqueness of a non-trivial bounded stationary state $$n_+$$, we prove that it invades the unstable state...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Léculier, Alexis [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of dynamics and differential equations - Springer US, 1989, 33(2020), 2 vom: 19. März, Seite 863-890 |
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| Übergeordnetes Werk: |
volume:33 ; year:2020 ; number:2 ; day:19 ; month:03 ; pages:863-890 |
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10.1007/s10884-020-09837-4 |
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| 520 | |a Abstract We provide an asymptotic analysis of a fractional Fisher-KPP type equation in periodic non-connected media with Dirichlet conditions outside the domain. After showing the existence and uniqueness of a non-trivial bounded stationary state $$n_+$$, we prove that it invades the unstable state zero exponentially fast in time. | ||
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Abstract We provide an asymptotic analysis of a fractional Fisher-KPP type equation in periodic non-connected media with Dirichlet conditions outside the domain. After showing the existence and uniqueness of a non-trivial bounded stationary state $$n_+$$, we prove that it invades the unstable state zero exponentially fast in time. © Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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Abstract We provide an asymptotic analysis of a fractional Fisher-KPP type equation in periodic non-connected media with Dirichlet conditions outside the domain. After showing the existence and uniqueness of a non-trivial bounded stationary state $$n_+$$, we prove that it invades the unstable state zero exponentially fast in time. © Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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Abstract We provide an asymptotic analysis of a fractional Fisher-KPP type equation in periodic non-connected media with Dirichlet conditions outside the domain. After showing the existence and uniqueness of a non-trivial bounded stationary state $$n_+$$, we prove that it invades the unstable state zero exponentially fast in time. © Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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