Project Details
Projekt
(S)PDEs on time-dependent random domains (B06)
Subject Area
Mathematics
Term
since 2024
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 516748464
This project aims to develop a theory for (stochastic) partial differential equations ((S)PDEs) on random time-dependent domains, and their numerical analysis. We will focus on regularity results for parabolic PDEs on these domains to enable quasi-Monte Carlo methods for numerical discretization, analyze well-posedness of SPDEs on time-dependent domains, and study SPDEs on less regular random time-dependent domains, such as those evolving with Brownian motion. The project will employ the domain mapping approach, mapping uncertain domains to a reference domain, and explore suitable settings for evolving spaces and mappings.
DFG Programme
CRC/Transregios
Applicant Institution
Technische Universität Berlin
Project Heads
Professorin Dr. Ana Djurdjevac; Professorin Dr. Claudia Schillings
