تقرير
Uncertainty Analysis for Drift-Diffusion Equations
| العنوان: | Uncertainty Analysis for Drift-Diffusion Equations |
|---|---|
| المؤلفون: | Marino, Greta, Pietschmann, Jan-Frederik, Pichler, Alois |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Probability, Mathematics - Analysis of PDEs, 35A17, 35K61, 60K99, 90C15 |
| الوصف: | 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. Comment: 29 pages, comments are welcome |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2105.06334Test |
| رقم الانضمام: | edsarx.2105.06334 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |