On ring-like solutions for the Gray–Scott model: existence, instability and self-replicating rings
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Publication:5714578
DOI10.1017/S0956792505005930zbMath1085.35019OpenAlexW2066637177MaRDI QIDQ5714578
Wei, Juncheng, Theodore Kolokolnikov
Publication date: 3 January 2006
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0956792505005930
pattern formationreaction-diffusion equationsGray-Scott modelnonlocal eigenvalue problemBessel-type functions
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Random attractors and robustness for stochastic reversible reaction-diffusion systems ⋮ Rigorous computation of non-uniform patterns for the 2-dimensional Gray-Scott reaction-diffusion equation ⋮ Dynamics of two-compartment Gray-Scott equations ⋮ Existence, Stability, and Dynamics of Ring and Near-Ring Solutions to the Saturated Gierer--Meinhardt Model in the Semistrong Regime ⋮ A robust and efficient method for steady state patterns in reaction-diffusion systems ⋮ Zigzag and Breakup Instabilities of Stripes and Rings in the Two‐Dimensional Gray–Scott Model ⋮ Robustness of global attractors for reversible Gray-Scott systems ⋮ The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: the pulse-splitting regime ⋮ On a reversible Gray-Scott type system from energetic variational approach and its irreversible limit ⋮ Global dynamics and robustness of reversible autocatalytic reaction-diffusion systems
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