Analytic and Numerical Solutions of Traveling Waves of Some Burgers-Type Equations

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Speaker: 
Dongming Wei
Institution: 
Nazarbayev University
Time: 
Mon, 12/03/2018 - 4:00pm - 5:00pm
Host: 
Long Chen
Location: 
RH306

In the talk, several Burgers-Type Equations are presented with derivations from Navier- Stokes equations for non-Newtonian fluids. Some of these equations are derived only recently. Analytic solutions are derived for the equations in some cases which generalizes the classical results for Newtonian fluids and numerical solutions are also presented for some more difficult cases. Special functions such as the Gauss hypergeometric function are used in representation s of analytic solutions, nonlinear implicit ODEs are solved numerically to demonstrate the travelling waves. Finally, possible applications in plastic sheet formation are discussed.