Phase plane analysis of one-dimensional reaction diffusion waves with degenerate reaction terms

DOI10.1080/026811100281901zbMath0954.34041OpenAlexW2056163109MaRDI QIDQ4487026

John Billingham

Publication date: 5 February 2001

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/026811100281901

zbMATH Keywords

nonlinear ordinary differential equationphase planewave speeddiffusion systemone-dimensional reaction diffusion wavespermanent travelling wave solution

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Qualitative investigation and simulation of ordinary differential equation models (34C60) Applications of boundary value problems involving ordinary differential equations (34B60)

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Cites Work

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• The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. III. Large time development in quadratic autocatalysis
• The Evolution of Travelling Waves in Fractional Order Autocatalysis with Decay. I. Permanent Form Travelling Waves
• Combustion waves for gases ( Le = 1) and solids ( Le →∞)
• Algebraic decay and variable speeds in wavefront solutions of a scalar reaction-diffusion equation
• Unnamed Item