Uncertainty analysis for drift-diffusion equations

  • We study evolution equations of drift-diffusion type when various parameters are random. Motivated by applications in pedestrian dynamics, we focus on the case when the total mass is, due to boundary or reaction terms, not conserved. After providing existence and stability for the deterministic problem, we consider uncertainty in the data. Instead of a sensitivity analysis we propose to measure functionals of the solution, so-called quantities of interest (QoI), by involving scalarizing statistics. For these summarizing statistics we provide probabilistic continuity results.

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Author:Greta MarinoGND, Jan-Frederik PietschmannORCiDGND, Alois Pichler
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/102125
Parent Title (English):arXiv
Year of first Publication:2021
Release Date:2023/02/20
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Inverse Probleme
Latest Publications (not yet published in print):Aktuelle Publikationen (noch nicht gedruckt erschienen)