Nonlinear Convective Instability of Turing‐Unstable Fronts near Onset: A Case Study

DOI10.1137/060670262zbMath1210.37054OpenAlexW2044106245WikidataQ60143901 ScholiaQ60143901MaRDI QIDQ5309773

Anna Ghazaryan, Björn Sandstede

Publication date: 2 October 2007

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060670262

zbMATH Keywords

nonlinear stabilityconvective instabilityfrontsTuring bifurcation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Bifurcations in context of PDEs (35B32) Initial value problems for second-order parabolic systems (35K45) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (9)

On the dynamics of traveling fronts arising in nanoscale pattern formation ⋮ Stability of semi-trivial wavefronts in reaction-diffusion systems ⋮ Stability of pulse solutions for the discrete FitzHugh–Nagumo system ⋮ Stability of gasless combustion fronts in one-dimensional solids ⋮ Invasion Generates Periodic Traveling Waves (Wavetrains) in Predator-Prey Models with Nonlocal Dispersal ⋮ Nonlinear convective stability of travelling fronts near Turing and Hopf instabilities ⋮ Emergence and Propagation of Patterns in Nonlocal Reaction-Diffusion Equations Arising in the Theory of Speciation ⋮ BIFURCATION ANALYSIS OF THE SWIFT–HOHENBERG EQUATION WITH QUINTIC NONLINEARITY ⋮ On the convective nature of the instability of a front undergoing a supercritical Turing bifurcation

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