Dr. Dominic Breit

School of Mathematical & Computer Science
Colin McLaurin Building G.09
Heriot-Watt University
Riccarton Edinburgh
EH14 4AS UK

Email: d.breit@hw.ac.uk

Tel: +44 (0)131 451 3972

I am an Associate Professor (Reader) in the Department of Mathematics

and a member of the Maxwell Institute

Research

The focus of my research is the analysis of nonlinear (stochastic) PDEs.
In particular, I'm interested in problems from fluid mechanics such as

On the more theoretical side I'm concerned with

Finally, I study the numerical analysis of problems related to the above slides

Books:
- D. Breit & F. Gmeineder: A Course on Function Spaces.
- D. Breit, E. Feireisl & M. Hofmanova: Stochastically Forced Compressible Fluid Flows.
- D. Breit: Existence theory for generalized Newtonian fluids.
Selected papers: (see below for a complete list)
- D. Breit, A. Cianchi, L. Diening & S. Schwarzacher: Global Schauder estimates for the p-Laplace system.
- D. Breit & A. Cianchi: Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms.
- D. Breit & A. Dodgson: Convergence rates for the numerical approximation of the 2D stochastic Navier–Stokes equations.
- D. Breit, L. Diening & F. Gmeineder: On the trace operator for functions of bounded A-variation.
- D. Breit, E. Feireisl & M. Hofmanova: Solution semiflow to the isentropic Euler system.
- D. Breit, E. Feireisl, M. Hofmanova & B. Maslowski: Stationary solutions to the compressible Navier-Stokes system driven by stochastic forces.
- D. Breit, A. Cianchi, L. Diening, T. Kuusi & S. Schwarzacher: Pointwise Calderón-Zygmund gradient estimates for the p-Laplace system.
- D. Breit & S. Schwarzacher: Compressible fluids interacting with a linear-elastic shell.
- D. Breit, E. Feireisl & M. Hofmanova: Incompressible limit for compressible fluids with stochastic forcing.
- D. Breit & M. Hofmanova: Stochastic Navier-Stokes equations for compressible fluids.
- D. Breit, L. Diening & S. Schwarzacher: Solenoidal Lipschitz truncation for parabolic PDEs.
ArXiv preprints
Complete list

09/2018-today: Thamsanqa Castern Moyo (financed by the Maxwell Institute Graduate School)
09/2017-today: Alan Dodgson (financed by a PhD scholarship of the Carnegie Trust Scotland)
09/2015-10/2018: Prince Romeo Mensah (financed by a James Watt Scholarship)
Thesis: The stochastic compressible Navier-Stokes system on the whole space and some singular limits
Current position: postdoc at Imperial College London