The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 32-650
Full Name: Huashui Zhan
Position: Professor
Age: ON
Sex: Male
Address: Jimei University, xiamen 361021
Country: CHINA
Tel: 8605926180706
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E-mail address: hszhan@jmu.edu.cn
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Title of the Paper: the study of micro-fluid boundary layer theory
Authors as they appear in the Paper: Li Long, Huashui Zhan(Crresponding author)
Email addresses of all the authors: hszhan@jmu.edu.cn, 2007539003@stu.jmu.edu.cn
Number of paper pages: 13
Abstract: % The text of the abstract follows. Similar to the study of $Prandtl$ system, by the well-known $Oleinik$ linear method, the paper gets existence, uniqueness of the solution for the following initial boundary problem in $\mathcal{D}=\big\{(t,\,x,\,y)\bigm 0<t<T,\,0<x<X,\,0<y<\infty\big\}$, $$ \left\{ \begin{array}{lll} u_{t}+uu_{x}+vu_{y}=U_{t}+UU_{x}+\big(\nu(y)u_{y}\big)_{y},\\ u_{x}+v_{y}=0,\\ u(0,\,x,\,y)=u_{0}(x,\,y),\,u(t,\,0,\,y)=0,\\ u(t,\,x,\,0)=0,\,v(t,\,x,\,0)=v_{0}(t,\,x),\,\lim\limits_{y\to\infty}u(t,\,x,\,y)=U(t,\,x), \end{array} \right. $$ 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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