Toronto Math Forum
MAT4752017S => Topics => Topic started by: Laura Campbell 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 RankineHugoniot 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.