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

• Compressible fluids slides

• Stochastic Navier-Stokes equations slides

• Fluid-structure interaction slides

• Generalized Newtonian fluids slides

• Regularity theory slides

• Calculus of variations slides

• Function spaces slides

Publications

• Books:
  • D. Breit & F. Gmeineder: A Course on Function Spaces.
    Universitext. Springer. (To appear)
  • 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 & S. Schwarzacher: Navier-Stokes-Fourier fluids interacting with elastic shells.
    To appear in Ann. Scuola Norm. Sup. Pisa Cl. Sci.
  • 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 & A. Dodgson: Convergence rates for the numerical approximation of the 2D stochastic Navier–Stokes equations.
    Numer. Math. 147, 553-578. (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 to 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 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: 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)
• ArXiv preprints

• Complete list

Short Curriculum vitae

Extended Curriculum vitae

Teaching

Courses 2021/2022

• F10MM/F11MM: Optimization

• F18XC: Mathematics for Engineers and Scientists III

PhD students

• 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