A Liouville property with application to asymptotic stability for the Camassa-Holm equation
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Publication:1783949
DOI10.1007/s00205-018-1243-3zbMath1403.35264arXiv1804.06225OpenAlexW3100203306WikidataQ130069093 ScholiaQ130069093MaRDI QIDQ1783949
Publication date: 21 September 2018
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.06225
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)
Related Items (max. 100)
Stability of peakons of the Camassa–Holm equation beyond wave breaking ⋮ Well-posedness and behaviors of solutions to an integrable evolution equation ⋮ Single peaked traveling wave solutions to a generalized \(\mu\)-Novikov equation ⋮ Formation of singularity of solution to a nonlinear shallow water equation ⋮ Existence of the periodic peaked solitary-wave solutions to the Camassa-Holm-Kadomtsev-Petviashvili equation ⋮ Local well-posedness and decay for some generalized shallow water equations ⋮ Orbital and asymptotic stability of a train of peakons for the Novikov equation ⋮ A rigidity result for the Holm-Staley \(b\)-family of equations with application to the asymptotic stability of the Degasperis-Procesi peakon ⋮ A rigidity property for the Novikov equation and the asymptotic stability of peakons ⋮ Instability of \(H^1\)-stable peakons in the Camassa-Holm equation ⋮ Asymptotic stability of the Degasperis-Procesi antipeakon-peakon profile ⋮ Growth of Perturbations to the Peaked Periodic Waves in the Camassa--Holm Equation ⋮ Asymptotic stability of peakons for the Novikov equation ⋮ The dynamic properties of solutions for a nonlinear shallow water equation
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