The local well-posedness, blow-up criteria and Gevrey regularity of solutions for a two-component high-order Camassa-Holm system
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Publication:505237
DOI10.1016/j.nonrwa.2016.12.001zbMath1364.35009OpenAlexW2561604091MaRDI QIDQ505237
Publication date: 19 January 2017
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.12.001
Smoothness and regularity of solutions to PDEs (35B65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items
Well-posedness and blow-up phenomena for an integrable three-component Camassa-Holm system ⋮ Well-posedness, blow-up criteria and Gevrey regularity for a rotation-two-component Camassa-Holm system ⋮ The global Gevrey regularity and analyticity of a two-component shallow water system with higher-order inertia operators ⋮ Continuity properties of the data-to-solution map for the two-component higher order Camassa-Holm system
Cites Work
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- Well-posedness and persistence properties for two-component higher order Camassa-Holm systems with fractional inertia operator
- Initial boundary value problems for the two-component shallow water systems
- Global weak solutions for a two-component Camassa-Holm shallow water system
- On an integrable two-component Camassa-Holm shallow water system
- Analytic solutions of the Cauchy problem for two-component shallow water systems
- Global weak solutions and blow-up structure for the Degasperis-Procesi equation
- Global conservative solutions of the Camassa-Holm equation
- Formation and dynamics of shock waves in the Degasperis-Procesi equation
- Well-posedness, blow-up phenomena and persistence properties for a two-component water wave system
- Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system
- On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
- Persistence properties for a family of nonlinear partial differential equations
- A note on a theorem of Nirenberg
- Wave breaking for nonlinear nonlocal shallow water equations
- On asymptotically equivalent shallow water wave equations
- Global weak solutions for a shallow water equation
- A few remarks on the Camassa-Holm equation.
- Global weak solutions for a new periodic integrable equation with peakon solutions
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- Global existence and local well-posedness for a three-component Camassa-Holm system with N-peakon solutions
- Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
- Estimates in Besov spaces for transport and transport-diffusion equations with almost Lipschitz coefficients
- Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach
- An abstract form of the nonlinear Cauchy-Kowalewski theorem
- On the weak solutions to a shallow water equation
- On the scattering problem for the Camassa-Holm equation
- Fourier Analysis and Nonlinear Partial Differential Equations
- Global solutions and blow-up phenomena for the periodic b -equation
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
- Global existence and blow-up phenomena for the peakon $b$-family of equations
- Well-posedness, blow-up phenomena, and global solutions for the b-equation
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
- On the Cauchy problem for the Camassa-Holm equation
- Two-component equations modelling water waves with constant vorticity
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