Dynamics and bifurcation theory of pathwise SPDEs (A06)

Subject Area Mathematics
Term since 2024
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 516748464
 

Project Description

The project aims to analyze the asymptotic behavior of rough and singular stochastic partial differential equations, especially at bifurcations, using finite-time Lyapunov exponents and amplitude equations for bifurcation analysis. It also develops a theory of attractors and investigates the convergence speed to invariant measures, focusing on describing mixing times in hydrodynamic limits.
DFG Programme CRC/Transregios
Subproject of TRR 388:  Rough Analysis, Stochastic Dynamics and Related Fields
Applicant Institution Technische Universität Berlin
Project Heads Professorin Dr. Alexandra Blessing; Professor Dr. Nicolas Perkowski