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 a lecturer in the Department of Mathematics and a member of the Analysis & PDEs group

Research

• Generalized Newtonian fluids (p-Navier-Stokes equations) slides

• Calculus of variations (regularity theory, non-standard growth) slides

• Water waves (existence and stability) slides

• Stochastic PDEs (nonlinear parabolic systems, fluid mechanics) slides

• Numerical Analysis (a priori and a posteriori estimates) slides

• Function spaces (variable exponents, Orlicz-Sobolev-spaces) slides

Publications

• Books:
  • D. Breit: Existence theory for generalized Newtonian fluids.
    Academic Press, Elsevier. 2017
  • D. Breit, E. Feireisl, M. Hofmanova: Stochastically Forced Compressible Fluid Flows.
    De Gruyter Series in Applied and Numerical Mathematics. De Gruyter. (in press)
• Selected papers: (see below for a complete list)
  • D. Breit, A. Cianchi, L. Diening, T. Kuusi & S. Schwarzacher: Pointwise Calderón-Zygmund gradient estimates for the p-Laplace system.
    J. Math. Pures Appl. https://doi.org/10.1016/j.matpur.2017.07.011
  • D. Breit, A. Cianchi & L. Diening: Trace-free Korn inequalities in Orlicz space.
    SIAM J. Math. Anal. 49, 2496-2526. (2017)
  • 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, L. Diening & M. Fuchs: Solenoidal Lipschitz truncation and applications in fluid mechanics.
    J. Diff. Eq. 253, 1910-1942. (2012)
  • 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 2016/2017

• F10MM/F11MM: Optimization

• F18XC: Mathematics for Engineers and Scientists III

Open PhD projects

• Regularity theory for non-stationary Bingham-fluids

• Stochastic Partial Differential Equations in thermodynamics of viscous fluids

• Adaptive Finite Element Methods for problems with variable exponents