Well-posedness and persistence properties for two-component higher order Camassa-Holm systems with fractional inertia operator
From MaRDI portal
Publication:321960
DOI10.1016/j.nonrwa.2016.06.003zbMath1353.35121arXiv1605.08084OpenAlexW2964315397MaRDI QIDQ321960
Publication date: 14 October 2016
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.08084
Related Items (6)
A note on the initial value problem for a higher‐order Camassa–Holm equation ⋮ Continuity properties of the data-to-solution map for the two-component higher order Camassa-Holm system ⋮ The local well-posedness, blow-up criteria and Gevrey regularity of solutions for a two-component high-order Camassa-Holm system ⋮ Non-uniform dependence on initial data for the two-component fractional shallow water wave system ⋮ Existence of solutions for nonlinear Caputo-Hadamard fractional differential equations via the method of upper and lower solutions ⋮ Nonuniform dependence of solution to the high-order two-component \(b\)-family system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Well-posedness, blow-up phenomena and global existence for the generalized \(b\)-equation with higher-order nonlinearities and weak dissipation
- The properties of solutions for a generalized \(b\)-family equation with peakons
- Well-posedness and blow-up phenomena for a higher order shallow water equation
- On an integrable two-component Camassa-Holm shallow water system
- The Degasperis-Procesi equation as a non-metric Euler equation
- Well-posedness, blow-up phenomena and persistence properties for a two-component water wave system
- Well-posedness of modified Camassa-Holm equations
- Wave breaking for nonlinear nonlocal shallow water equations
- A note on well-posedness for Camassa-Holm equation.
- Geodesic flow on the diffeomorphism group of the circle
- A few remarks on the Camassa-Holm equation.
- Classical solutions of the periodic Camassa-Holm equation.
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- Persistence properties for a generalized Camassa-Holm equation in weighted \(L^p\) spaces
- Well-posedness of higher-order Camassa-Holm equations
- Persistence properties and unique continuation of solutions of the Camassa-Holm equation
- Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle
- Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Fourier Analysis and Nonlinear Partial Differential Equations
- A new asymptotic behavior of solutions to the Camassa-Holm equation
- Breakdown for the Camassa–Holm Equation Using Decay Criteria and Persistence in Weighted Spaces
- A two-component generalization of the Degasperis–Procesi equation
- Well-posedness, blow-up phenomena, and global solutions for the b-equation
- An integrable shallow water equation with peaked solitons
- Two-component equations modelling water waves with constant vorticity
This page was built for publication: Well-posedness and persistence properties for two-component higher order Camassa-Holm systems with fractional inertia operator
