Project Details
Projekt
Stochastic PDE with conservative noise (B08)
Subject Area
Mathematics
Term
since 2021
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 317210226
In this project we analyze diffusive, stochastic PDE with conservative noise. This class of stochastic PDE arises in various fields of applications, for example, in nonequilibrium statistical physics, and in interacting particle systems with common noise. Moreover, stochastic PDE of related structure appear in fluctuating hydrodynamics, and as stochastic kinetic equations, such as the stochastic Boltzmann and the stochastic Vlasov-Poisson equation. Several of these applications lead to space time white noise, and thus to typically ill-posed and supercritical stochastic PDE. We aim to investigate questions of well-posedness, regularity, qualitative behavior, equilibrium and non-equilibrium large deviations and their numerical simulation.
DFG Programme
Collaborative Research Centres
Subproject of
SFB 1283:
Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications
Applicant Institution
Universität Bielefeld
Project Head
Professor Dr. Benjamin Gess
