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2015-10-30
On the Burgers-Poisson Equation
Katrin GrunertKhai T. Nguyen
文献摘要
In this paper, we prove the existence and uniqueness of weak entropy solutions to the Burgers-Poisson equation for initial data in L^1®. 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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