Seminar in Applied Mathematics
Yi Li

Department of Mathematical Sciences
Stevens Institute of Technology


Nonlinear dispersive evolution equations and stability of their solitary waves


Monday, October 4, 1999
3:00pm
Morton 105


Abstract:   In this talk, I will introduce evolution equations as mathematical models for propagation of free surface waves. They include both weakly nonlinear and higher nonlinear model equations. The presence of nonlinearity and dispersion in these equations result in solitary waves which propagate with permanent form and interact elastically. One part of the talk will be concerned with stability of solitary waves using the technique of singular perturbation and the Evans function. The other issue is the numerical computation to compare approximate physical models with the full water wave problem as a means to justify the validity of the model equations.


Refreshments immediately following the talk.

For additional information contact Patrick Miller  or Yi Li.