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Presentations and discussions / Julia Set
« on: March 14, 2017, 03:18:47 PM »
Link to a photo of a Julia set: https://commons.wikimedia.org/wiki/File:Julia_set_(Rev_formula_03).jpg
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Topics / Burgers' Equation
« on: January 24, 2017, 09:58:48 PM »
My presentation topic is Burgers' equation. My plan is to discuss Burgers' inviscid equation, $u_t+uu_x=0$ and its solution, as well as its solution with particular initial conditions. Then considering the weak solutions to the equation and the Rankine-Hugoniot conditions. Finally, will go over Burgers' viscous equation, $u_t+uu_x= \epsilon u_{xx}$ and some examples of scenarios in which Burgers' equation is used - namely traffic flow and gas dynamics.
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