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 in the Department of Mathematics and a member of the Maxwell Institute

Research

• Existence theory for generalized Newtonian fluids slides

• Traces of functions of bounded A-variation and variational problems with linear growth slides

• Singular limits for compressible fluids with stochastic forcing slides

• Stationary solutions to the stochastic compressible Navier--Stokes system slides

• Numerical approximation of electro-rheological fluids slides

• Sharp conditions for Korn inequalities in Orlicz spaces slides

• Pointwise gradient estimates for the p-Laplacian slides

Publications

• Books:
  • D. Breit, E. Feireisl, M. Hofmanova: Stochastically Forced Compressible Fluid Flows.
    De Gruyter Series in Applied and Numerical Mathematics. De Gruyter. (2018)
  • D. Breit: Existence theory for generalized Newtonian fluids.
    Academic Press, Elsevier. (2017)
• Selected papers: (see below for a complete list)
  • D. Breit, E. Feireisl, M. Hofmanova, B. Maslowski: Stationary solutions to the compressible Navier-Stokes system driven by stochastic forces.
    Probab. Theory Relat. Fields. DOI: 10.1007/s00440-018-0867-4
  • D. Breit, L. Diening & F. Gmeineder: On the trace operator for functions of bounded A-variation.
    To appear in Anal. PDE
  • D. Breit, A. Cianchi, L. Diening, T. Kuusi & S. Schwarzacher: Pointwise Calderón-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, E. Feireisl, M. Hofmanova: Compressible fluids driven by stochastic forcing: The relative energy inequality and applications.
    Commun. Math. Phys. 350, 443-473. (2017)
  • D. Breit, E. Feireisl, M. Hofmanova: Incompressible limit for compressible fluids with stochastic forcing.
    Arch. Rational Mech. Anal. 222, 895-926. (2016)
  • 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)
  • D. Breit: New regularity theorems for non-autonomous variational integrals with (p, q)- growth.
    Calc. Var. & PDE 44, 101-129. (2012)
• ArXiv preprints

• Complete list

Short Curriculum vitae

Extended Curriculum vitae

Teaching

Courses 2018/2019

• F10MM/F11MM: Optimization

• F18XC: Mathematics for Engineers and Scientists III

PhD students

• 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)