Results

Published articles

  1. Stefan Haller, Cornelia Vizman - Weighted nonlinear flag manifolds as coadjoint orbits, Canadian Journal of Mathematics, 2023, DOI: https://doi.org/10.4153/S0008414X23000585
  2. Ioana Ciuclea, Cornelia Vizman - Pointed vortex loops in ideal 2D fluids, J. Phys. A: Math. Theor., 2023, 56 245201, DOI 10.1088/1751-8121/acd501
  3. Ioana Ciuclea, Alice Barbara Tumpach, Cornelia Vizman - Shape spaces of nonlinear flags, Geometric Science of Information: 6th International Conference, GSI 2023, St.Malo, France, 30.08-1.09.2023, Proceedings, Part I,41-50, DOI: 10.1007/978-3-031-38271-0-5.
  4. Cornelia Vizman - A discrete version of the coadjoint orbit of vortex loops, Geometric Science of Information: 6th International Conference, GSI 2023, St. Malo, France, 30.08-1.09.2023, Proceedings, Part II, 301-309, DOI: 10.1007/978-3-031-38299-4-32
  5. Tobias Diez, Bas Janssens, Karl-Hermann Neeb, Cornelia Vizman - Induced differential characters on nonlinear Grassmannians, to appear in Annales de l'Institut Fourier
  6. Francois Gay-Balmaz, Cornelia Vizman - Coadjoint orbits of vortex sheets in ideal fluids, to appear in Journal of Geometry and Physics.
  7. Evan S. Gawlik, Francois Gay-Balmaz - Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids, to appear in Mathematical Models and Methods in Applied Sciences.

Preprints

  1. Bas Janssens, Leonid Ryvkin, Cornelia Vizman - Universal central extension of the Lie algebra of exact divergence-free vector fields, preprint
  2. Ioana Ciuclea, Stefan Haller, Cornelia Vizman - Dual pairs and coadjoint orbits of nonlinear flags, preprint
  3. Francois Gay-Balmaz, Cornelia Vizman - Dynamics of rotationally symmetric vortex sheets, preprint
  4. Stefan Haller, Cornelia Vizman - The EPDiffvol dual pair, preprint

Scientific reports

  1. Francois Gay-Balmaz, Cornelia Vizman - Vortex loops and characters in 2D fluids, scientific reports.
  2. Martin Bauer, Ioana Ciuclea, Cornelia Vizman - A numerical approach to studying axisymmetric surfaces of vorticity, scientific report.
  3. Francois Gay-Balmaz, Gerald Goldin, Cornelia Vizman - Geometric quantization of extended vortex configurations, scientific report.
  4. Ioana Ciuclea, Alice Barbara Tumpach, Cornelia Vizman - Principal connections in infinite dimensions, scientific report.

Other Results

  1. Ioana Ciuclea, Alice Barbara Tumpach, Cornelia Vizman - Shape spaces of nonlinear flags, best paper award at the GSI 2023 Conference.
  2. Teodora Daia, dissertation - Ecuatii de evolutie ale curbelor, july 2023
  3. Ioana Ciuclea, phd thesis, intermediate version - Nonlinear Grassmannians and their generalizations, sept. 2023