Browsing Mathematics by Title
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[20120828] Viscous flow past plates
I devise a numerical method of high order in space (FDMHS) to simulate flow past a finite plate and a semiinfinite plate. The method solves the incompressible NavierStokes equation in the stream functionvorticity formulation. ... 
[20120201] Weighted estimates for dyadic operators with complexity
We extend the definitions of dyadic paraproduct, dual dyadic paraproduct and $t$Haar multipliers to dyadic operators that depend on the complexity $(m,n)$, for $m$ and $n$ positive integers. We will use the ... 
[20130905] Wellposedness and Illposedness of the Nonlinear Beam Equation
The dissertation consists of two parts, Wellposedness and illposedness for the nonlinear beam equation and Strichartz estimates of the beam equation on the domains. In the first part, we will work to introduce the ...