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 2 PhD students and mentoring 1 PostDoc.

Preprints

  • A. Bressan, S.T. Galtung, K. Grunert, and K.T. Nguyen, Shock interactions for the Burgers--Hilbert equation, arXiv:2204.02421.
  • 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.

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