Stochastic non-Newtonian fluids: regularity and numerics (B07)

• Subject Area: Mathematics
• Term: since 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 317210226

We are concerned with stochastic partial differential equations appearing in the modeling of non-Newtonian fluids. More precisely, we study models such as p-Navier-Stokes system where randomness is encoded in two ways: in the form of a random initial datum and in the form of stochastic external forces given by a general (nonlinear) multiplicative noise. Within the first part, we aim at developing a regularity theory. In particular, we are interested in the natural regularity which is essential for numerical approximations. The second part of our project is concerned with developing efficient numerical schemes and proving their rates of convergence.

• 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 Heads: Professor Dr. Lars Diening; Professorin Martina Hofmanova, Ph.D.