Quantitative Homogenization and Averaging

• Antragsteller: Professor Dr. Bernold Fiedler
• Fachliche Zuordnung: Mathematik
• Förderung: Förderung von 2000 bis 2009
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 5276083

Analysis of partial differential equations with rapidly oscillating coefficients in time and/or space aims at eliminating these dependencies by averaging or homogenization techniques. For systems of parabolic and elliptic type we aim at a quantitative comparison with the averaged or homogenized equations. Periodic and quasiperiodic inhomogenities with Diophantine frequencies will be considered.With a single spatial homogenization step, we expect errors of fractional order eg for oscillation scale e and suitable g smaller than 1. With sufficiently many time averaging steps we expect errors of exponential order exp(-c/eb), for some b larger than 0.

• DFG-Verfahren: Schwerpunktprogramme
• Teilprojekt zu: SPP 1095: Analysis, Modellbildung und Simulation von Mehrskalenproblemen