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Analytic and Numerical Solutions of Traveling Waves of Some Burgers-Type Equations
发布时间: 2018-11-17     13:30   【返回上一页】 发布人:Dongming Wei


 

 

计算数学专题报告

 

 

 

报告题目: Analytic and Numerical Solutions of Traveling Waves of Some Burgers-Type  Equations

 

时间: 11月21日 下午4:00-5:00 

 

地点:后主楼1223

 

报告人: Dongming  Wei Nazarbayev University,Kazakhstan)

 

邀请人:张辉

 

摘要: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.