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	Transport equations for a general class of evolution equations with random perturbations
	Guo, MZ ; Wang, XP
	1999
关键词	WAVES
英文摘要	We derive transport equations from a general class of equations of form iu(t) = H(X,D)u + V(X,D)u where H(X,D) and V(X,D) are pseudodifferential operators (Weyl operator) with symbols H(x,k) and V(x,k), where H(x,k) being polynomial in k and smooth in x,V(x,k) is a mean zero random function and is stationary in space variable. We also consider system of equations in the above form. Such equations cover many of the equations that arise in wave propagations, such as those considered in a paper by Ryzhik, Papanicolaou, and Keller [Wave Motion 24, 327-370 (1996)]. Our results generalize those by Ryzhik, Papanicolau, and Keller. (C) 1999 American Institute of Physics. [S0022-2488(99)03209-0].; Physics, Mathematical; SCI(E); 11; ARTICLE; 10; 4828-4858; 40
语种	英语
出处	SCI
出版者	数学物理杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314276]
专题	数学科学学院
推荐引用方式 GB/T 7714	Guo, MZ,Wang, XP. Transport equations for a general class of evolution equations with random perturbations. 1999-01-01.

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