Propagation of oscillations to 2D incompressible Euler equations

CSpace

	Propagation of oscillations to 2D incompressible Euler equations
	Zhang, P ; Wu, GR ; Qiu, QJ
	1998-05-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	41 期号:5 页码:449-460
摘要	The asymptotic expansions are studied for the vorticity {omega(epsilon) (t, x)} to 2D incompressible Euler equations with-initial vorticity omega(0)(epsilon)(x)=omega(0)(x) + epsilon omega(0)(1)(x,rho(0)(x)/epsilon), where rho(0)(x) satisfies \d rho(0)(x)\ not equal 0 on the support of omega(0)(1) (.,theta), theta is an element of T, and omega(0)(x) (resp. omega(0)(1)(x, theta)) is sufficiently smooth and with compact support in R-2(resp. R-2 x T). The limit, v(t, x), of the corresponding velocity fields { v(epsilon)( t, x) } is obtained, which is the unique solution of (E) with initial vorticity omega(0)(x). Moreover, omega(epsilon)(t, x)=omega(t,x) + epsilon omega(1)(t,x,rho(t, x)/epsilon) + omicron(epsilon) in C(0, infinity),L-p(R-2)) for all 1 less than or equal to p < infinity, where omega(t, x) = partial derivative(1)v(2)(t, x) - partial derivative(2)v(1)(t, x), omega(1)(t, x, theta) and rho(t, x) satisfy some modulation equation and eikonal equation, respectively.
关键词	incompressible Euler equations paradifferential calculus propagation of oscillations Young measures
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000073919600001
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13707
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, P
作者单位	1.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 2.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
推荐引用方式 GB/T 7714	Zhang, P,Wu, GR,Qiu, QJ. Propagation of oscillations to 2D incompressible Euler equations[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,1998,41(5):449-460.
APA	Zhang, P,Wu, GR,&Qiu, QJ.(1998).Propagation of oscillations to 2D incompressible Euler equations.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,41(5),449-460.
MLA	Zhang, P,et al."Propagation of oscillations to 2D incompressible Euler equations".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 41.5(1998):449-460.