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Institute of Mathematics
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Research

The group of stochastics works in the field of nonlinear stochastic partial differential equations (SPDE); 
research interests are well-posedness theory, modelling aspects, and numerical methods.
 
 
Ongoing research projects are:
 
  • Stochastic Allen-Cahn equations and the modellization of interfaces and micro-cracks
  • Finite Volume schemes for SPDEs 
  • Variational inequalities for SPDEs: Lewy-Stampaccia inequalities and nonlinear SPDEs with reflection
  • Non-Newtonian fluids with stochastic perturbation: Analysis and numerics
  • Freidlin-Wentzell's large deviations for stochastic evolutionary p-Laplace type equations

Funding projects

DFG ZI 1542/3-1
DFG ZI 1542/3-1

DFG ZI 1542/3-1

The stochastic p-Laplace equation beyond the classical framework: well-posedness, memory effects, and approximations

PPP Poland
PPP Poland

PPP Poland

Non-Newtonian fluids with stochastic perturbation
In this project, we focus on equations describing non-Newtonian fluids subject to stochastic forcing within the

Workshops