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
existenceuniquenessblow-upwave breakingweak entropy solutionslocal smoothnessBurgers-Poisson equation
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)
Cites Work
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- 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
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- Discontinuous solutions of non-linear differential equations
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