Patterns of Sources and Sinks in the Complex Ginzburg–Landau Equation with Zero Linear Dispersion

DOI10.1137/090780961zbMath1197.35280OpenAlexW1967475803MaRDI QIDQ3587492

Jens D. M. Rademacher, Matthew J. Smith, Jonathan A. Sherratt

Publication date: 8 September 2010

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

Full work available at URL: https://doi.org/10.1137/090780961

zbMATH Keywords

shockabsolute stabilitypattern formationreaction-diffusionpartial differential equationsholesinksourcedefectcoherent structureconvective stability\(\lambda-\omega\) systemNozaki-Bekki hole

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Asymptotic expansions of solutions to PDEs (35C20) Traveling wave solutions (35C07) Ginzburg-Landau equations (35Q56)

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