Background and activities

I am Professor at the Department of Mathematical Sciences. I have a MSc and a PhD in Mathematics from the University of Vienna, Austria.

My research focuses on non-linear partial differential equations that govern the motion of waves. These equations also model wave phenomena such as wave breaking. I investigate, with the help of mathematical methods, which influence a wave phenomenon has on the future shape of a wave for a given wave profile.

Current projects

I am currently supervising 3 PhD students and mentoring 1 PostDoc.

Preprints

  • K. Grunert and H. Holden, Uniqueness of conservative solutions for the Hunter-Saxton equation, arXiv:2107.12681.
  • S. T. Galtung and K. Grunert, Stumpons are non-conservative traveling waves of the Camassa-Holm equation, arXiv:2106.15443.
  • K. Grunert and M. Tandy, Lipschitz stability for the Hunter-Saxton equation, arXiv:2103.10227.
  • K. Grunert and A. Reigstad, A regularized system for the nonlinear variational wave equation, arXiv:2008.13003.
  • S. T. Galtung and K. Grunert, A numerical study of variational discretizations of the Camassa-Holm equation, arXiv:2006.15562.

Scientific, academic and artistic work

A selection of recent journal publications, artistic productions, books, including book and report excerpts. See all publications in the database

Journal publications