Some nonexistence results for nonconstant stationary solutions to the Gray-Scott model in a bounded domain

DOI10.1016/j.aml.2008.06.032zbMath1173.35452OpenAlexW1989999409MaRDI QIDQ1021887

J. Martínez

Publication date: 9 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.06.032

zbMATH Keywords

nonexistenceGray-Scott modelnonconstant stationary solution

Mathematics Subject Classification ID

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Cites Work

• The existence and stability of spike equilibria in the one-dimensional Gray -- Scott model on a finite domain
• On pattern formation in the Gray-Scott model
• Qualitative analysis on a diffusive prey-predator model with ratio-dependent functional response
• Homoclinic solutions to the Gray-Scott model.
• The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: the pulse-splitting regime
• Stability and instability in the Gray-Scott model: The case of equal diffusivities
• Pattern formation in the Gray-Scott model
• Second-order implicit-explicit scheme for the Gray-Scott model
• Some nonexistence results of stationary solutions for the Gray-Scott model
• Static spike autosolitons in the Gray-Scott model
• On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law
• WAVE-SPLITTING IN THE BISTABLE GRAY-SCOTT MODEL
• Exact Homoclinic and Heteroclinic Solutions of the Gray--Scott Model for Autocatalysis

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