Shock interactions for the Burgers-Hilbert equation

DOI10.1080/03605302.2022.2084628zbMath1496.35251arXiv2204.02421OpenAlexW4283529072MaRDI QIDQ5102231

Khai T. Nguyen, Sondre Tesdal Galtung, Alberto Bressan, Katrin Grunert

Publication date: 6 September 2022

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.02421

zbMATH Keywords

weak solutionHilbert transformpiecewise regular solutionshock interactionBurgers-Hilbert equation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Integro-partial differential equations (35R09)

Cites Work

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• Piecewise smooth solutions to the Burgers-Hilbert equation
• Enhanced Life Span of Smooth Solutions of a Burgers--Hilbert Equation
• Global Existence of Weak Solutions for the Burgers--Hilbert Equation
• Nonlinear Hamiltonian waves with constant frequency and surface waves on vorticity discontinuities
• Shock Formation of the Burgers--Hilbert Equation

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