This analysis uncovers uniqueness in stochastic entropy solutions for scalar conservation laws, suggesting new implications for boundary conditions.
This paper is concerned with the uniqueness of stochastic entropy solutions for stochastic scalar conservation law forced by a multiplicative noise on a bounded domain with a non-homogeneous boundary condition. The uniqueness is obtained by using the method of Kruzhkov?s doubling variables.
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Zhang et al. (2025) studied this question.
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