Piecewise smooth solutions to the Burgers-Hilbert equation

DOI10.4310/CMS.2017.V15.N1.A7zbMath1356.35066OpenAlexW2570962970WikidataQ59263801 ScholiaQ59263801MaRDI QIDQ510234

Alberto Bressan, Tianyou Zhang

Publication date: 17 February 2017

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2017.v15.n1.a7

zbMATH Keywords

Hilbert transformentropy admissible solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Shocks and singularities for hyperbolic equations (35L67) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Shock interactions for the Burgers-Hilbert equation ⋮ On the approximation of vorticity fronts by the Burgers–Hilbert equation ⋮ Highest cusped waves for the Burgers-Hilbert equation ⋮ Stability of traveling waves for the Burgers-Hilbert equation ⋮ Stability and Uniqueness for Piecewise Smooth Solutions to a Nonlocal Scalar Conservation Law with Applications to Burgers--Hilbert Equation ⋮ Shock Formation of the Burgers--Hilbert Equation ⋮ Lipschitz continuity of solutions to drift-diffusion equations in the presence of nonlocal terms

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