Nonlinear convective stability of travelling fronts near Turing and Hopf instabilities

DOI10.1016/j.jde.2009.02.003zbMath1177.35031OpenAlexW2116698208WikidataQ60143894 ScholiaQ60143894MaRDI QIDQ1019674

Björn Sandstede, Anna Ghazaryan, Margaret Beck

Publication date: 4 June 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.02.003

zbMATH Keywords

essential spectrumexponential rate of convergenceequations on the real lineexponentially weighted spacelinear convective instability

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32)

Related Items (5)

On the dynamics of traveling fronts arising in nanoscale pattern formation ⋮ Stability of gasless combustion fronts in one-dimensional solids ⋮ Invasion Generates Periodic Traveling Waves (Wavetrains) in Predator-Prey Models with Nonlocal Dispersal ⋮ Emergence and Propagation of Patterns in Nonlocal Reaction-Diffusion Equations Arising in the Theory of Speciation ⋮ Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism

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