Complex Geometrical Optics Solutions for Coupled Conductivity Equations
Este jueves 13 de mayo a las 12:15 horas el Dr. Javier Ramírez, Doctor de la Universidad de Chile y actualmente investigador del Centro Avanzado para Tecnologías del Agua (CAPTA) dictará la charla denominada “Complex Geometrical Optics Solutions for Coupled Conductivity Equations”.
Enlace de Zoom
ID de reunión: 832 2816 2181
Código de acceso: 876019
Resumen:
This talk is devoted to study complex geometrical optics (CGO) solutions to the coupled conductivity equations written in a matrix form $\mathrm{div}\left(Q \cdot \nabla U\right)=0$ in $\mathbb{R}^2$ for symmetric, positive definite matrix functions $A$. The way to compute those solutions is to use the vectorial solutions of an associated Beltrami system. We prove the existence of CGO solutions and then use a numerical strategy based on the method introduced by Huhntanem and Perämäki in 2012 for the Beltrami equation. Numerical experiments are considered to show the influence of coupled equations.
