期刊
JOURNAL OF FUNCTIONAL ANALYSIS
卷 259, 期 4, 页码 1014-1042出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2010.02.016
关键词
Stochastic partial differential equations; Conservation laws; Kinetic formulation; Entropy solutions
类别
We show that the Cauchy Problem for a randomly forced, periodic multi-dimensional scalar first-order conservation law with additive or multiplicative noise is well posed: it admits a unique solution, characterized by a kinetic formulation of the problem, which is the limit of the solution of the stochastic parabolic approximation. (C) 2010 Elsevier Inc. All rights reserved.
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