KMS Of Academy of mathematics and systems sciences, CAS
Propagation of oscillations to 2D incompressible Euler equations | |
Zhang, P; Wu, GR; Qiu, QJ | |
1998-05-01 | |
Source Publication | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY |
ISSN | 1006-9283 |
Volume | 41Issue:5Pages:449-460 |
Abstract | 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. |
Keyword | incompressible Euler equations paradifferential calculus propagation of oscillations Young measures |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000073919600001 |
Publisher | SCIENCE PRESS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/13707 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | 1.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 2.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China |
Recommended Citation 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. |
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