A Nonlocal Gray-Scott Model: Well-Posedness and Diffusive Limit

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Philippe Laurençot
  • Christoph Walker

Organisationseinheiten

Externe Organisationen

  • Universite de Savoie
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Details

OriginalspracheEnglisch
Seiten (von - bis)3709-3732
Seitenumfang24
FachzeitschriftDiscrete and Continuous Dynamical Systems - Series S
Jahrgang16
Ausgabenummer12
Frühes Online-DatumAug. 2023
PublikationsstatusVeröffentlicht - Dez. 2023

Abstract

Well-posedness in L∞ of the nonlocal Gray-Scott model is studied for integrable kernels, along with the stability of the semi-trivial spatially homogeneous steady state. In addition, it is shown that the solutions to the nonlocal Gray-Scott system converge to those to the classical Gray-Scott system in the diffusive limit.

ASJC Scopus Sachgebiete

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A Nonlocal Gray-Scott Model: Well-Posedness and Diffusive Limit. / Laurençot, Philippe; Walker, Christoph.
in: Discrete and Continuous Dynamical Systems - Series S, Jahrgang 16, Nr. 12, 12.2023, S. 3709-3732.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Laurençot P, Walker C. A Nonlocal Gray-Scott Model: Well-Posedness and Diffusive Limit. Discrete and Continuous Dynamical Systems - Series S. 2023 Dez;16(12):3709-3732. Epub 2023 Aug. doi: 10.48550/arXiv.2307.10627, 10.3934/dcdss.2023158
Laurençot, Philippe ; Walker, Christoph. / A Nonlocal Gray-Scott Model : Well-Posedness and Diffusive Limit. in: Discrete and Continuous Dynamical Systems - Series S. 2023 ; Jahrgang 16, Nr. 12. S. 3709-3732.
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