Stochastic Entropy Solutions for Stochastic Scalar Balance Laws

Stochastic Entropy Solutions for Stochastic Scalar Balance Laws

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 solution...

Full description

Bibliographic Details
Main Authors: Jinlong Wei, Bin Liu, Rongrong Tian, Liang Ding
Format: Article
Language:English
Published: MDPI AG 2019-11-01
Series:Entropy
Subjects:
uniqueness
existence
stochastic entropy solution
stochastic kinetic formulation
bhatnagar-gross-krook approximation
Online Access:https://www.mdpi.com/1099-4300/21/12/1142
Description
Summary: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.
ISSN:1099-4300

Similar Items