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
D.Breit, M.Kampschulte, S.Schwarzacher: "Compressible fluids interacting with 3D visco-elastic bulk solids" (2021) preprint
M.Kampschulte, G.Sperone, S.Schwarzacher: "Unrestricted deformations of thin elastic structures interacting with fluids" Journal de Mathématiques Pures et Appliquées Volume 173 (May 2023) p. 96-148 (arXiv.org 2022)
B.Benešová, M.Kampschulte, S.Schwarzacher: "Variational methods for fluid-structure interaction and porous media" (2023) Nonlinear Analysis: Real World Applications Vol. 71, 103819 (arXiv.org 2021)
B.Benešová, M.Kampschulte, S.Schwarzacher: "A variational approach to hyperbolic evolutions and fluid-structure interactions" (2023) Journal of the European Mathematical Society, online first (arXiv.org 2020)
A.Češík, G.Gravina, M.Kampschulte: "Inertial evolution of non-linear viscoelastic solids in the face of (self-)collision" (arXiv.org 2022) Calculus of Variations and Partial differential equations (to appear)
A.Češík, G.Gravina, M.Kampschulte: "Inertial (self-)collisions of viscoelastic solids with Lipschitz boundaries" (2023) preprint
M.Kampschulte, B.Muha, S.Trifunović: "Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts" (2024) Journal of differential equations, Vol. 385 (15 March 2024) p. 280-324 (arxiv.org 2023)

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)