Linear Instability and Uniqueness of the Peaked Periodic Wave in the Reduced Ostrovsky Equation

DOI10.1137/18M117978XzbMath1412.35031arXiv1804.03788OpenAlexW2907180749WikidataQ128082457 ScholiaQ128082457MaRDI QIDQ4631731

Anna Geyer, Dmitry E. Pelinovsky

Publication date: 18 April 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.03788

zbMATH Keywords

semigroupcharacteristicsco-periodic perturbations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Initial value problems for nonlinear higher-order PDEs (35G25) Traveling wave solutions (35C07)

Related Items

Waves of maximal height for a class of nonlocal equations with inhomogeneous symbols, Stability of periodic peaked solitary waves for a cubic Camassa-Holm-type equation, Spectral Instability of Peakons in the $b$-Family of the Camassa--Holm Equations, Existence, regularity and symmetry of periodic traveling waves for Gardner-Ostrovsky type equations, On the regularity and symmetry of periodic traveling solutions to weakly dispersive equations with cubic nonlinearity, Instability of \(H^1\)-stable periodic peakons for the \(\mu\)-Camassa-Holm equation, Stability of periodic peakons for a nonlinear quartic \(\mu\)-Camassa-Holm equation, Spectral instability of the peaked periodic wave in the reduced Ostrovsky equations, Instability of \(H^1\)-stable peakons in the Camassa-Holm equation, Growth of Perturbations to the Peaked Periodic Waves in the Camassa--Holm Equation, Waves of maximal height for a class of nonlocal equations with homogeneous symbols, Periodic Hölder waves in a class of negative-order dispersive equations

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