Malte Kampschulte
Katedra matematické analýzy
Matematicko-fyzikální fakulta
Univerzity Karlovy
Sokolovská 83
186 75 Praha 8
Email: kampschulte (at) karlin.mff.cuni.cz
I am a member of S.Schwarzacher's research group on fluid structure interaction.
Selected research interests (In no particular order)
Fluid structure interaction
Variational aspects, interplay of Eulerian and Lagrangian viewpoints, relaxed solutions
Calculus of Variations
(Vertical) relaxation methods, generalised solutions, Cartesian currents, Young-measures, minimizing movements and related methods
Partial differential equations
Topological invariants, topological solitons, bubbling phenomena, gradient flows and other evolution equations
Geometric measure theory
Currents on manifolds, transport of currents, generalised surfaces, applications to variational problems, differential geometric aspects
Selected publications
- B.Benešová, M.Kampschulte: "Gradient Young measures generated by quasi-conformal maps in the plane" (2015) SIAM Journal on Mathematical Analysis, 47(6), 4404-4435. (arXiv.org)
- B.Benešová, M.Frost, M.Kampschulte, C. Melcher, P. Sedlák, H. Seiner: "Incommensurateness in nanotwinning models of modulated martensites" (2015) Physical Review B, 92(18), 180101.
- M.Kampschulte: "Gradient flows and a generalized Wasserstein distance in the space of Cartesian currents" (2018) PhD. Thesis
- M.Kampschulte: "A space-time relaxation for L¹ optimal control problems" (2020) preprint
- B.Benešová, M.Kampschulte, S.Schwarzacher: "A variational approach to hyperbolic evolutions and fluid-structure interactions" (2020) preprint
- B.Benešová, M.Kampschulte, S.Schwarzacher: "Variational methods for fluid-structure interaction and breathing through masks" (2021) preprint
Short CV
| 2006-2012 |
Studies at RWTH Aachen |
| 2009 |
B.Sc in Mathematics |
| 2010 |
B.Sc in Computer Science |
| 2012 |
M.Sc in Mathematics |
| 2012-2018 |
Research Assistant at Lehrstuhl I für Mathematik (RWTH Aachen) |
| 2017/2018 |
PhD. in Mathematics (Dr. rer. nat.) "Gradient flows and a generalized
Wasserstein distance in the space of
Cartesian currents" (main adviser: C. Melcher, additional referees: M. Westdickenberg, R.Jerrard) |
| 2019 |
Postdoctoral researcher at Charles-University Prague (Group of S. Schwarzacher) |