|
Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Homogenization Theory (PDE III) SemesterSoSe 2026 Lecturer Michael Eden Type of course (Veranstaltungsart) Vorlesung German title Homogenisierung (PDG III) Contents The goal of homogenization theory is to rigorously find and justify effective mathematical models that capture the limiting behavior of complex systems with fine-scale heterogeneity. Examples are the flow of fluids through porous media and the heat conductivity of composite materials. Planned contents include: - Asymptotic Expansion - Two-scale convergence/Periodic unfolding - Perforated domains: Extension operators - Flow through porous and/or fractured media: Dary's law and Brinkmann equation - Gamma-convergence - Shape optimization/inverse homogenization - Monotone operators Literature A. Muntean: A Course in Homogenization-Based Techniques A. Braides: Gamma-Convergence for Beginners G. Allaire: Shape Optimization by the Homogenization Method U. Hornung: Homogenization and Porous Media D. Cioranescu, P. Donato, An introduction to homogenization Recommended previous knowledge Knowledge of the material covered in the courses Analysis, Linear Algebra, and Functional Analysis is assumed. Prior attendance of Partial Differential Equations I and II is helpful but not required; the relevant concepts and results will be briefly reviewed. Time/Date Mondays 8-10am , Fridays 8-10am Registration
BV, MV, MAngAn ECTS 9 |