Browsing Mathematics by Title
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[20130130] Terrestrial and extraterrestrial radiation sources that move faster than light
Maxwell's equations establish that patterns of electric charges and currents can be animated to travel faster than the speed of light in vacuo and that these superluminal distribution patterns emit tightly focused ... 
[20160825] Toroidal Matrix Links: Local Matrix Homotopies and Soft Tori
In this document we solve some local connectivity problems in matrix representations of the form C(T^N) > M_n and C(T^N) > M_n < C([1, 1]^N) using the so called toroidal matrix links, which can be interpreted as ... 
[20100628] Two topics in particle accelerator beams: VlasovMaxwell treatment of coherent synchrotron radiation and topological treatment of spin polarization
This thesis has two parts. In the first part I present results from my studies of the VlasovMaxwell system which was developed, together with a code, in collaboration with Bassi, Ellison and Warnock. The emphasis ... 
[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 ...