Μάθημα : Σημειώσεις Μεταπτυχιακών μαθημάτων

Συντεταγμένες: Παρασκευή 01/11, ώρα 15.00, αίθουσα Α21.

Ομιλητής: Δημήτρης Γαζούλης (μεταδιδακτορικός, ΕΚΠΑ)

Τίτλος: Mini courses on Homogenization Part II: H-convergence and the Homogenization theorem

Περίληψη: We introduce the notion of H-convergence for operators in divergence form that are not necessarily symmetric. We state the main properties of H-convergence and compare them with G-convergence. Then, we provide the main tool for the homogenization theorem based on compensated compactness, that is, the div-curl lemma. Finally, we state the homogenization theorem for H-convergence and define the corrector matrix that gives an approximation for the solutions of the homogenization problem, i.e. the corrector result.