People
Andre Nachbin
André Nachbin
PhD 1989, Courant Institute, New York University.
Instituto de Matemática Pura e Aplicada
Estrada Dona Castorina 110
Rio de Janeiro
Brasil 22460-320
ph. +55 21 2529 5214
fax +55 21 2529 5075
Email:
Research interests
My main research interest is in wave propagation in heterogeneous media. Most of the problems concern waves in fluids. In particular surface or internal waves in coastal regions. Also, I am interested in atmospheric waves. From the more technical point of view my research considers systems of Partial Differential Equations (PDEs) having variable coefficients, which model the medium variations, such as for example, a space-dependent wave propagation speed. Reflection-transmission problems naturally arise in this context. Also, issues concerning the eddy viscosity for waves propagating over a turbulent region. This research area branches into topics such as:
- Asymptotics at the PDE level, namely mathematical modelling aiming at obtaining (more tractable) reduced models for which one can perform careful analysis
and accurate numerical simulations. - Asymptotics at the level of solutions, leading to (approximate) effective behaviour of the waves in, for example, a rapidly varying medium.
- Scientific computing which is used to provide insights regarding items (1)-(2)
above, as well as to validate theoretical results.
Keywords:
fluid mechanics wave propagation |
scientific computing mathematical modelling |
