Institute of Applied Analysis

Professor Emil Wiedemann

Research Interests

Analysis of partial differential equations, calculus of variations, mathematical problems in continuum mechanics. Specifically:

  • compressible and incompressible Euler and Navier-Stokes equations and related models
  • transport and continuity equations
  • convex integration
  • existence and uniqueness for weak, measure-valued, and statistical solutions of partial differential equations
  • partial differential equations in biology, e.g. population models, cell growth/fragmentation
  • variational problems in nonlinear elasticity
  • algorithmic fairness

Here, here, and here are video recordings of some of my talks. A talk for a general audience (in German) can be found here.

Teaching

Winter 2019/20

Summer 2019

Winter 2018/19

Selected Publications

  • M. Zehlike, P. Hacker, E. Wiedemann: Matching Code and Law: Achieving Algorithmic Fairness with Optimal Transport. Preprint, 2019. arXiv
  • I. Akramov, T. Debiec, J. Skipper, E. Wiedemann: Energy conservation for the compressible Euler and Navier-Stokes equations with vacuum. To appear in Anal. PDE. arXiv
  • C. Bardos, E. S. Titi, E. Wiedemann: Onsager's conjecture with physical boundaries and an application to the vanishing viscosity limit. Comm. Math. Phys. 370 (2019), 291-310. arXiv
  • U. S. Fjordholm, E. Wiedemann: Statistical solutions and Onsager's conjecture. Phys. D 376 (2018), 259-265. arXiv
  • G. Crippa, N. Gusev, S. Spirito, E. Wiedemann: Failure of the chain rule for the divergence of bounded vector fields. Ann. Sc. Norm. Super. Pisa Cl. Sci. 17 (2017), 1-18. arXiv
  • P. Gwiazda, E. Wiedemann: Generalized entropy method for the renewal equation with measure data. Commun. Math. Sci. 15 (2017), 577-586. arXiv
  • E. Feireisl, P. Gwiazda, A. Świerczewska-Gwiazda, E. Wiedemann: Regularity and energy conservation for the compressible Euler equations. Arch. Ration. Mech. Anal. 223 (2017), 1375-1395. arXiv
  • E. Feireisl, P. Gwiazda, A. Świerczewska-Gwiazda, E. Wiedemann: Dissipative measure-valued solutions to the compressible Navier-Stokes equations. Calc. Var. Partial Differential Equations 55 (2016), Paper No. 141, 20 pp. arXiv
  • P. Gwiazda, A. Świerczewska-Gwiazda, E. Wiedemann: Weak-strong uniqueness for measure-valued solutions of some compressible fluid models. Nonlinearity 28 (2015), 3873-3890. arXiv
  • K. Koumatos, F. Rindler, E. Wiedemann: Differential inclusions and Young measures involving prescribed Jacobians. SIAM J. Math. Anal. 47 (2015), 1169-1195. arXiv
  • L. Székelyhidi Jr., E. Wiedemann: Young measures generated by ideal incompressible fluid flows. Arch. Ration. Mech. Anal. 206 (2012), 333-366. arXiv
  • E. Wiedemann: Existence of weak solutions for the incompressible Euler equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 28, 5 (2011), 727-730. arXiv