Pointwise nonlinear stability of nonlocalized modulated periodic reaction-diffusion waves

DOI10.1016/j.jde.2016.06.013zbMath1353.35053arXiv1605.01464OpenAlexW2963882705MaRDI QIDQ305413

Soyeun Jung, Kevin Zumbrun

Publication date: 29 August 2016

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

Full work available at URL: https://arxiv.org/abs/1605.01464

zbMATH Keywords

nonlocalized perturbationsspectral linearized stability

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Traveling wave solutions (35C07)

Related Items

Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems, Spectral analysis of \(\theta\)-periodic Schrödinger operators and applications to periodic waves, Reprint of: ``Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems, \(L^1(\mathbb{R})\)-nonlinear stability of nonlocalized modulated periodic reaction-diffusion waves

Cites Work

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• Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction-diffusion equations
• Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation
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• Nonlocalized modulation of periodic reaction diffusion waves: the Whitham equation
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