The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 32-545
Full Name: Huashui Zhan
Position: Professor
Age: ON
Sex: Male
Address: Xiamen, 361021, School of Sciences, Jimei University
Country: CHINA
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E-mail address: hszhan@jmu.edu.cn
Other E-mails: huashuizhan@163.com
Title of the Paper: the study of micro-fluid boundary layer theory
Authors as they appear in the Paper: Long Li, Huashi Zhan
Email addresses of all the authors: hszhan@jmu.edu.cn, 2007539003@stu.jmu.edu.cn
Number of paper pages: 20
Abstract: Similar to the study of $Prandtl$ system, by the well-known $O'leinik$ linear method, the paper gets existence, uniqueness of the solution for the follwing initial boundary problem in $\mathcal{D}={\{0<t<T,0<x<X,0<y<\infty}\}$, \begin{equation} \left\{ \begin{array}{lll} u_{t}+uu_{x}+vu_{y}=U_{t}+UU_{x}+(\nu(y)u_{y})_{y},\\ u_{x}+v_{y}=0,\\ u(0,x,y)=u_{0}(x,y),\hspace{0.2cm}u(t,0,y)=0,\hspace{0.2cm}u(t,x,0)=0,\\ v(t,x,0)=v_{0}(t,x),\hspace{0.2cm}\lim\limits_{y\to\infty}u(t,x,y)=U(t,x), \end{array} \right. \end{equation} where $T$ is sufficient small and $\nu(y)$ is a bounded function.
Keywords: Micro-fluid boundary layer, Uniqueness, Existence, Classical solution
EXTENSION of the file: .pdf
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How Did you learn about congress: The Library of Jimei University, Xiamen, 361021, China
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