Silvia Madrid-Jaramillo
- Email:
- smj@math.arizona.edu
- Degree program:
- PhD
- Year of entrance into Program:
- 1999
- Undergraduate degree:
- Licenciatura en Matematicas
- Undergraduate institution:
- Universidad Nacional Autonoma de Mexico (UNAM)
- Any other degrees:
M.S in Applied Mathematics
- Organizations:
SIAM
- Advisor:
- Joceline Lega
- Description of research:
I began working on Pattern Formation with Dr. Lega in a Rayleigh-Bénard convection problem. About the same time, I participated in a weekly seminar on Spectral Analysis where I first learned about Evans functions. From this experience, I became involved in a project to compute Evans functions numerically. This is a very interesting work because the Evans function technique can be used to study the stability of coherent structures of nonlinear partial differential equations. So far, most of the research on the Evans function technique has been very analytical. We are interested on combining numerical and analytical tools to apply the Evans function technique to specific problems. At this time, I am working with a system of two coupled nonlinear Klein-Gordon equations which describes the near-threshold dynamics of a three-dimensional elastic rod with circular cross section, subject to constant twist.
- Personal interests:
I am lucky there is a nice place to take morning walks near my place and enjoy the wonderfully relaxed atmosphere of Tucson. In addition to my little walks I enjoy hiking, practicing yoga and taking dance lessons, although lately I am only doing yoga. Recently I have made new friends who are graduate students at the English department. We are having lots of fun playing racketball every week!