Discontinuous traveling waves as weak solutions to the Fornberg-Whitham equation

DOI10.1016/j.jde.2018.04.056zbMath1394.35099arXiv1802.00215OpenAlexW2964264894WikidataQ129886151 ScholiaQ129886151MaRDI QIDQ1643163

Günther Hörmann

Publication date: 18 June 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.00215

zbMATH Keywords

nonlinear integro-differential equationspatching of disconnected orbitspiecewise smooth profile function

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Weak solutions to PDEs (35D30) Traveling wave solutions (35C07) Integro-partial differential equations (35R09)

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Cites Work

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• Well-posedness of the Fornberg-Whitham equation on the circle
• A type of bounded traveling wave solutions for the Fornberg-Whitham equation
• Periodic and solitary wave solutions to the Fornberg-Whitham equation
• Solitons, peakons and periodic cusp wave solutions for the Fornberg-Whitham equation
• On the Stokes conjecture for the wave of extreme form
• Wave breaking for nonlinear nonlocal shallow water equations
• Wave breaking of periodic solutions to the Fornberg-Whitham equation
• Well-posedness and continuity properties of the Fornberg-Whitham equation in Besov spaces
• Wave breaking for the Fornberg-Whitham equation
• Single peak solitary wave solutions for the Fornberg–Whitham equation
• A numerical and theoretical study of certain nonlinear wave phenomena
• Shock Waves for a Model System of the Radiating Gas
• Particle trajectories in solitary water waves
• A note on the breaking of waves

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