On the blow-up of solutions for the Fornberg-Whitham equation

DOI10.1016/j.nonrwa.2018.06.004zbMath1404.35066OpenAlexW2810628754WikidataQ129599352 ScholiaQ129599352MaRDI QIDQ1615030

Zeng Zhang, Xinglong Wu

Publication date: 2 November 2018

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.06.004

zbMATH Keywords

conservation lawblow-up ratewave breakinglifespanbounded solutions with unbounded derivative

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Blow-up in context of PDEs (35B44)

Related Items (13)

New wave-breaking criteria for the Fornberg-Whitham equation ⋮ Wave breaking phenomena for the Fornberg-Whitham equation ⋮ Notes on wave-breaking phenomena for a Fornberg-Whitham-type equation ⋮ Norm inflation and ill-posedness for the Fornberg-Whitham equation ⋮ A note on wave-breaking criteria for the Fornberg-Whitham equation ⋮ Wave breaking phenomenon to a nonlinear equation including the Fornberg-Whitham model ⋮ BLOW-UP PHENOMENA PROFILE FOR HADAMARD FRACTIONAL DIFFERENTIAL SYSTEMS IN FINITE TIME ⋮ On wave-breaking for the two-component Fornberg-Whitham system ⋮ The dynamical property of a nonlinear shallow water wave equation with inhomogeneous boundary conditions ⋮ The existence and decay of solitary waves for the Fornberg-Whitham equation ⋮ The well-posedness, blow-up, and traveling waves for a two-component Fornberg–Whitham system ⋮ Wave breaking to a shallow water wave equation involving the Fornberg-Whitham model ⋮ The well-posedness, ill-posedness and non-uniform dependence on initial data for the Fornberg-Whitham equation in Besov spaces

Cites Work

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• Well-posedness of the Fornberg-Whitham equation on the circle
• On some wave breaking for the nonlinear integrable shallow water wave equations
• Formation and dynamics of shock waves in the Degasperis-Procesi equation
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Wave breaking for nonlinear nonlocal shallow water equations
• Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
• On the Cauchy problem for an integrable equation with peakon solutions
• A few remarks on the Camassa-Holm equation.
• Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
• Existence of permanent and breaking waves for a shallow water equation: a geometric approach
• Well-posedness and continuity properties of the Fornberg-Whitham equation in Besov spaces
• Global existence and blow-up phenomena for the Degasperis-Procesi equation
• On the scattering problem for the Camassa-Holm equation
• A note on the Cauchy problem of the Novikov equation
• Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• A numerical and theoretical study of certain nonlinear wave phenomena
• Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
• Stability of peakons
• An integrable shallow water equation with peaked solitons
• On the Blow-up Phenomena for the Degasperis-Procesi Equation

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