Sesión Especial del Coloquio de Matemáticas Aplicadas Resumen In this talk, we discuss how classical conformal mapping techniques can be applied to the study of nonlinear water waves over variable bathymetry. The fluid is assumed to be ideal—incompressible, of constant density, and governed by irrotational flow (or rotational flow with constant vorticity)—so that the problem...Read More

Coloquio de Matemáticas Aplicadas 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,...Read More

Coloquio de Matemáticas Aplicadas Resumen En esta plática comenzaré presentando el teorema de equivalencia de Humpherys (J. Hyperbolic Differ. Equ. 2(4):963–974, 2005) para sistemas lineales viscoso-dispersivos, que es una generalización del teorema clásico de Shizuta y Kawashima (Hokkaido Math. J. 14(2):249–275, 1985) para sistemas de segundo orden. El trabajo de Humpherys se basa en la...Read More