Existence and spectral instability of bounded spatially periodic traveling waves for scalar viscous balance laws

DOI10.1090/qam/1591zbMath1467.35084arXiv2008.10120OpenAlexW3162289776WikidataQ114849124 ScholiaQ114849124MaRDI QIDQ4997188

Ramón G. Plaza, Enrique E. Álvarez

Publication date: 28 June 2021

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.10120

zbMATH Keywords

Hopf bifurcationhomoclinic bifurcationone space dimensionreaction function of monostable or Fisher-KPP typetwo families of periodic waves

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07)

Related Items (4)

Instability of small-amplitude periodic waves from fold-Hopf bifurcation ⋮ Spectral instability of small-amplitude periodic waves for hyperbolic non-Fickian diffusion advection models with logistic source ⋮ Perturbation of the spectra for asymptotically constant differential operators and applications ⋮ Orbital instability of periodic waves for scalar viscous balance laws

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