On the Burgers-Poisson equation

DOI10.1016/j.jde.2016.05.028zbMath1347.35139arXiv1510.09144OpenAlexW2963765585MaRDI QIDQ2630903

Katrin Grunert, Khai T. Nguyen

Publication date: 25 July 2016

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

Full work available at URL: https://arxiv.org/abs/1510.09144

zbMATH Keywords

existenceuniquenessblow-upwave breakingweak entropy solutionslocal smoothnessBurgers-Poisson equation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (5)

SBV regularity for Burgers-Poisson equation ⋮ One-sided Hölder regularity of global weak solutions of negative order dispersive equations ⋮ Well‐posedness of IBVP for 1D scalar non‐local conservation laws ⋮ Unnamed Item ⋮ Solution concepts, well-posedness, and wave breaking for the Fornberg-Whitham equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On compactness estimates for hyperbolic systems of conservation laws
• The semigroup approach to first order quasilinear equations in several space variables
• Convergent difference schemes for the Hunter–Saxton equation
• Wave Breaking in a Class of Nonlocal Dispersive Wave Equations
• Burgers--Poisson: A Nonlinear Dispersive Model Equation
• Discontinuous solutions of non-linear differential equations

This page was built for publication: On the Burgers-Poisson equation