Large Matrices Arising in Traveling Wave Bifurcations

DOI10.1007/978-3-540-78827-0_23zbMath1229.35120OpenAlexW1565189221MaRDI QIDQ3616823

Peter L. Simon

Publication date: 26 March 2009

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-78827-0_23

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Soliton equations (35Q51)

Cites Work

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• Geometric theory of semilinear parabolic equations
• Nonadiabatic Plane Laminar Flames and Their Singular Limits
• Stability of traveling waves: dichotomies and eigenvalue conditions on finite intervals
• Combustion waves for gases ( Le = 1) and solids ( Le →∞)
• On the structure of spectra of travelling waves
• Stability of freely propagating flames revisited
• Evans function analysis of the stability of non-adiabatic flames

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