期刊
CHINESE ANNALS OF MATHEMATICS SERIES B
卷 40, 期 5, 页码 765-780出版社
SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
DOI: 10.1007/s11401-019-0159-z
关键词
Hyperbolic equations; Uncertainty quantification; Stochastic Galerkin methods
类别
资金
- NSF [DMS-1522184, DMS-1819012, DMS-1107291: RNMS KI-Net]
- National Natural Science Foundation of China [31571071, 11871297]
The authors study the fluid dynamic behavior of the stochastic Galerkin (SG for short) approximation to the kinetic Fokker-Planck equation with random uncertainty. While the SG system at the kinetic level is hyperbolic, its fluid dynamic limit, as the Knudsen number goes to zero and the underlying kinetic equation approaches to the uncertain isentropic Euler equations, is not necessarily hyperbolic, as will be shown in the case study fashion for various orders of the SG approximations.
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