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RSS FeedsEntropy, Vol. 21, Pages 1142: Stochastic Entropy Solutions for Stochastic Scalar Balance Laws (Entropy)

 
 

22 november 2019 16:03:24

 
Entropy, Vol. 21, Pages 1142: Stochastic Entropy Solutions for Stochastic Scalar Balance Laws (Entropy)
 


We are concerned with the initial value problem for a multidimensional balance law with multiplicative stochastic perturbations of Brownian type. Using the stochastic kinetic formulation and the Bhatnagar-Gross-Krook approximation, we prove the uniqueness and existence of stochastic entropy solutions. Furthermore, as applications, we derive the uniqueness and existence of the stochastic entropy solution for stochastic Buckley-Leverett equations and generalized stochastic Burgers type equations.


 
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