Well-posedness and persistence properties for two-component higher order Camassa-Holm systems with fractional inertia operator
type: Item
instance of: scholarly article
title: Well-posedness and persistence properties for two-component higher order Camassa-Holm systems with fractional inertia operator
zbMATH Open document ID: 1353.35121
author: Shouming Zhou
author: Rong Chen
published in: Nonlinear Analysis. Real World Applications
publication date: 2016-10-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/1605.08084
Mathematics Subject Classification ID: 35F55
zbMATH DE Number: 6639151
zbMATH Keywords: Besov spaces
zbMATH Keywords: infinite propagation speed
zbMATH Keywords: Littlewood-Paley decomposition
MaRDI profile type: Publication
OpenAlex ID: W2964315397
arXiv ID: 1605.08084
cites work: Well-posedness, blow-up phenomena, and global solutions for the b-equation
cites work: The properties of solutions for a generalized \(b\)-family equation with peakons
cites work: Well-posedness, blow-up phenomena and global existence for the generalized \(b\)-equation with higher-order nonlinearities and weak dissipation
cites work: An integrable shallow water equation with peaked solitons
cites work: Q4311808
cites work: Q4508328
cites work: Q4253188
cites work: Existence of permanent and breaking waves for a shallow water equation: a geometric approach
cites work: Wave breaking for nonlinear nonlocal shallow water equations
cites work: On an integrable two-component Camassa-Holm shallow water system
cites work: A two-component generalization of the Degasperis–Procesi equation
cites work: Two-component equations modelling water waves with constant vorticity
cites work: Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
cites work: Groups of diffeomorphisms and the motion of an incompressible fluid
cites work: Geodesic flow on the diffeomorphism group of the circle
cites work: Classical solutions of the periodic Camassa-Holm equation.
cites work: The Degasperis-Procesi equation as a non-metric Euler equation
cites work: Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle
cites work: Well-posedness of modified Camassa-Holm equations
cites work: Well-posedness of higher-order Camassa-Holm equations
cites work: Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach
cites work: Q3514031
cites work: Well-posedness, blow-up phenomena and persistence properties for a two-component water wave system
cites work: Breakdown for the Camassa–Holm Equation Using Decay Criteria and Persistence in Weighted Spaces
cites work: Fourier Analysis and Nonlinear Partial Differential Equations
cites work: A note on well-posedness for Camassa-Holm equation.
cites work: A few remarks on the Camassa-Holm equation.
cites work: Well-posedness and blow-up phenomena for a higher order shallow water equation
cites work: Persistence properties for a generalized Camassa-Holm equation in weighted \(L^p\) spaces
cites work: A new asymptotic behavior of solutions to the Camassa-Holm equation
cites work: Persistence properties and unique continuation of solutions of the Camassa-Holm equation
DOI: 10.1016/J.NONRWA.2016.06.003
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description: scientific article; zbMATH DE number 6639151