期刊
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
卷 12, 期 4, 页码 613-651出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219025709003872
关键词
Stochastic PDE; first-order hyperbolic problems; bounded domain; Young measures; Kruzhkov's entropy
In this paper, we are interested in the stochastic perturbation of a first-order hyperbolic equation of nonlinear type. In order to illustrate our purposes, we have chosen a scalar conservation law in a bounded domain with homogeneous Dirichlet condition on the boundary. Using the concept of measure-valued solutions and Kruzhkov's entropy formulation, a result of existence and uniqueness of the entropy solution is given.
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