Existence of stochastic entropy solutions for stochastic scalar balance   laws with Lipschitz vector fields
  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. 
Jinlong Wei, Liang Ding, Bin Liu
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