||Nonlinear Dynamics at the Free University Berlin|
Prof. Dr. A. Azouani
Priority Research Program 1095 on
Quantitative homogenization and averaging
Problems involving different time scales are quite common in many branches of Physics and Mathematics. The difference of the scales can be explicit due to an external forcing, or implicit due to internal properties of a system. In mathematical models different scales are manifest as rapid oscillations of coefficients in time or space variables.
Our analysis of partial differential equations with rapidly oscillating coefficients in time and/or space investigates the elimination of such oscillations by averaging or homogenization techniques. For systems of parabolic and elliptic type we aim at a quantitative comparison with the averaged or homogenized equations, in particular for quasiperiodic inhomogeneities with Diophantine frequencies.
|Last change: Dec. 6, 2003||