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Research
Main research areas
The Mathematical Modeling group is headed by Dominic Breit and deals with nonlinear (stochastic) partial differential equations. An overview of previous research results can be found here. The application-oriented focus is on problems from fluid mechanics:
- Compressible fluids
- Stochastic Navier-Stokes equations
- Fluid-structure interaction
- Non-Newtonian fluids
On the theoretical side we are interested in
Finally we do numerical analysis for problems related to the above topics.
An overview of previous research results can be found here.
All publications
Click hereto see all publications.
Selected publications
D. Breit & A. Prohl: Error analysis for 2D stochastic Navier-Stokes equations in bounded domains with Dirichlet data. Found. Comp. Math. 24, 1643-1672. (2024)
D. Breit:Regularity results in 2D fluid-structure interaction. Math. Ann. 388, 1495-1538. (2024)
D. Breit & S. Schwarzacher:Navier-Stokes-Fourier fluids interacting with elastic
shells. Ann. Sc. Norm. Super. Pisa(5) XXIV, 619-690. (2023)
D. Breit, A. Cianchi, L. Diening & S. Schwarzacher:Global Schauder estimates for
the p-Laplace system.Arch. Rational Mech. Anal. 243, 201-255 (2022)
D. Breit & A. Cianchi:Symmetric gradient Sobolev spaces endowed with rearrangement
invariant norms.Adv. Math. 391, 107954 (2021).
D. Breit, L. Diening & F. Gmeineder:On the trace operator for functions of bounded
A-variation. Anal. PDE 13, 559-594. (2020)
D. Breit, E. Feireisl & M. Hofmanova:Solution semiflow for the isentropic Euler system.Arch. Rational Mech. Anal. 235, 167-194. (2020)
D. Breit, E. Feireisl, M. Hofmanova & B. Maslowski:Stationary solutions to the
compressible Navier-Stokes system driven by stochastic forces.Probab. Theory
Relat. Fields 174, 981-1032. (2019)
D. Breit, A. Cianchi, L. Diening, T. Kuusi & S. Schwarzacher:Pointwise Calderon-
Zygmund gradient estimates for the p-Laplace system. J. Math. Pures Appl. 114,
146-190. (2018)
D. Breit & S. Schwarzacher:Compressible fluids interacting with a linear-elastic shell. Arch. Rational Mech. Anal. 228, 495-562. (2018)
D. Breit & M. Hofmanova:Stochastic Navier-Stokes equations for compressible
fluids.Indiana Univ. Math. J. 65, 1183-1250. (2016)
D. Breit, L. Diening & S. Schwarzacher:Solenoidal Lipschitz truncation for parabolic
PDEs. Math. mod. Meth. Appl. Sci. 23, 2671-2700. (2013)