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arXiv · 1406.0040

Existence of stochastic entropy solutions for stochastic scalar balance laws with Lipschitz vector fields

Jinlong Wei·Liang Ding·Bin Liu
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Abstract

In this paper, we consider a scalar stochastic balance law and gain the existence for stochastic entropy solutions. Our proof relies on the BGK approximation and the generalized It\^{o} formula. Moreover, as an application, we derive the existence of stochastic entropy solutions for stochastic Buckley-Leverett type equations.

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Jinlong Wei, Liang Ding, Bin Liu. 2014-05-31. Existence of stochastic entropy solutions for stochastic scalar balance laws with Lipschitz vector fields. https://arxiv.org/abs/1406.0040

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