Shock Formation of the Burgers--Hilbert Equation

DOI10.1137/21M1399348zbMath1475.35207arXiv2006.05568MaRDI QIDQ5158386

Ruoxuan Yang

Publication date: 22 October 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.05568

zbMATH Keywords

Hilbert transformasymptotic self-similar shock

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Self-similar solutions to PDEs (35C06) Integro-partial differential equations (35R09)

Related Items (8)

The Wave Breaking for Whitham-Type Equations Revisited ⋮ Shock interactions for the Burgers-Hilbert equation ⋮ On the approximation of vorticity fronts by the Burgers–Hilbert equation ⋮ The inviscid limit of viscous Burgers at nondegenerate shock formation ⋮ Highest cusped waves for the Burgers-Hilbert equation ⋮ Stability of traveling waves for the Burgers-Hilbert equation ⋮ The relativistic Euler equations: ESI notes on their geo-analytic structures and implications for shocks in 1D and multi-dimensions ⋮ Lipschitz continuity of solutions to drift-diffusion equations in the presence of nonlocal terms

Cites Work

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• Unnamed Item

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