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Existence and stability of reaction-diffusion waves on a fractal lattice

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Publication:1878109
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DOI10.1016/j.chaos.2003.09.003zbMath1049.35099OpenAlexW1982052789MaRDI QIDQ1878109

Anthony J. Mulholland, Janan Abdulbake, Jagannathan Gomatam

Publication date: 19 August 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2003.09.003



Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Transport processes in time-dependent statistical mechanics (82C70)


Related Items

Disruption and recovery of reaction-diffusion wavefronts colliding with obstacles ⋮ Bounds on the Hausdorff dimension of a renormalisation map arising from an excitable reaction-diffusion system on a fractal lattice



Cites Work

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  • Conic pencils and renormalization dynamics
  • Nagumo's equation
  • Chemical Engineering, Fractal and Disordered System Theory
  • Solution of Transport Schemes on Fractals by Means of Green Function Renormalization — Application to Integral Quantities
  • Harmonic Calculus on P.C.F. Self-Similar Sets
  • A RENORMALIZATION APPROACH TO REACTION-DIFFUSION PROCESSES ON FRACTALS
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