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arXiv · 1510.09144

On the Burgers-Poisson Equation

Katrin Grunert·Khai T. Nguyen
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Abstract

In this paper, we prove the existence and uniqueness of weak entropy solutions to the Burgers-Poisson equation for initial data in L^1(R). Additional an Oleinik type estimate is established and some criteria on local smoothness and wave breaking for weak entropy solutions are provided.

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Katrin Grunert, Khai T. Nguyen. 2016-09-05. On the Burgers-Poisson Equation. https://doi.org/10.1016/j.jde.2016.05.028

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