Resumen
In this lecture I present results that stem from three sub-fields of nonlinear wave theory. In the first, I present a traveling wave analysis of Kuznetsov’s equation, a weakly-nonlinear, thermoviscous, acoustic model. In the second, kinematic shock waves (of zero thickness) are examined in the context of traffic flow modeling, the PDE under consideration here being the hyperbolic extension of Burgers’ equation. Lastly, I consider an example of wave chaos associated with a driven version of the well known sine—Gordon equation; here, the analysis employs a generalization of the usual traveling wave variable and includes the use of Poincaré maps. Along the way, brief histories are given and references relating to the covered topics are listed.
Ponente
Dr. Pedro M. Jordan
Dept. of Physics, University of New Orleans
Informes
luis.lopez@mym.iimas.unam.mx
daniel.castanon@iimas.unam.mx
Actividad en línea, con transmisión en el salón 204, edificio B, IIMAS y a través de Zoom, previa inscripción en el enlace: https://shorturl.at/jq1Ak