Non-uniqueness for the Fokas-Olver-Rosenau-Qiao equation
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Publication:1799807
DOI10.1016/j.jmaa.2018.10.030zbMath1400.35003OpenAlexW2896968693MaRDI QIDQ1799807
A. Alexandrou Himonas, Curtis Holliman
Publication date: 19 October 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.10.030
peakon solutionswell-posedness in Sobolev spacesintegrable Camassa-Holm type equationsnon-uniqueness and ill-posedness
PDEs in connection with fluid mechanics (35Q35) Initial value problems for nonlinear higher-order PDEs (35G25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (10)
Wave breaking phenomenon for the generalized FORQ equation ⋮ Nonuniqueness for the \(ab\)-family of equations with peakon travelling waves on the circle ⋮ Ill-posedness of the Cauchy problem for the \(\mu\)-Camassa-Holm-type equations ⋮ Blow-up analysis for the \(ab\)-family of equations ⋮ On well-posedness of nonlocal evolution equations ⋮ Non-uniqueness for the ab-family of equations ⋮ Persistence property and infinite propagation speed for the \(b\)-family of Fokas-Olver-Rosenau-Qiao (\(b\)FORQ) model ⋮ Construction of 2-peakon solutions and nonuniqueness for a generalized mCH equation ⋮ 2-peakon solutions and non-uniqueness of the Fokas-Olver-Rosenau-Qiao equation with higher-order nonlinearity ⋮ Non-uniform continuity of the Fokas-Olver-Rosenau-Qiao equation in Besov spaces
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