Propagation of oscillations to 2D incompressible Euler equations
文献类型：期刊论文
| 作者 | Zhang, P; Wu, GR; Qiu, QJ |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
 |
| 出版日期 | 1998-05-01 |
| 卷号 | 41期号:5页码:449-460 |
| 关键词 | incompressible Euler equations paradifferential calculus propagation of oscillations Young measures |
| ISSN号 | 1006-9283 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000073919600001 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13706]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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