Revisit to wave breaking phenomena for the periodic Dullin–Gottwald–Holm equation

DOI10.1063/1.5113854zbMath1454.76022OpenAlexW3044639840MaRDI QIDQ5140947

Xiaofang Dong

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5113854

zbMATH Keywords

strong solutionlocal well-posednessGagliardo-Nirenberg inequalityblow-up phenomenon

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Cites Work

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• On some wave breaking for the nonlinear integrable shallow water wave equations
• Blow-up phenomena and local well-posedness for a generalized Camassa-Holm equation with cubic nonlinearity
• Wave breaking and global existence for the periodic rotation-Camassa-Holm system
• Global conservative solutions of the Camassa-Holm equation
• The local well-posedness and existence of weak solutions for a generalized Camassa-Holm equation
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Blow-up of solutions to the DGH equation
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• On the inverse spectral problem for the Camassa-Holm equation
• Wave breaking for nonlinear nonlocal shallow water equations
• On the Cauchy problem for the periodic Camassa-Holm equation
• Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
• Wave breaking for a periodic shallow water equation.
• Special issue on the occasion of the 50th volume
• Classical solutions of the periodic Camassa-Holm equation.
• Stability of the Camassa-Holm solitons
• Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
• Global existence and blow-up solutions for a nonlinear shallow water equation
• On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation
• On the Blow-Up Scenario for the Generalized Camassa–Holm Equation
• GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
• On the blow-up phenomena of the periodic Dullin–Gottwald–Holm equation
• Generalizations of the Camassa–Holm equation
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• Stability of peakons
• An integrable shallow water equation with peaked solitons
• Local Well-Posedness and Orbital Stability of Solitary Wave Solutions for the Generalized Camassa–Holm Equation
• The Cauchy problem for a generalized Camassa-Holm equation
• On the Cauchy problem for a generalized Camassa-Holm equation

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