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.

I was temporarily (Summer semester 2024) working as a substitute professor at the University of Leipzig.

Selected research interests (In no particular order)

Fluid structure interaction

Calculus of Variations

Partial differential equations

Geometric measure theory

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, 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" (2024) Journal of the European Mathematical Society, no. 12, pp. 4615–4697 (arXiv.org 2020)
• A.Češík, G.Gravina, M.Kampschulte: "Inertial evolution of non-linear viscoelastic solids in the face of (self-)collision" Calculus of Variations and Partial differential equations, Vol 63, Art. Nr. 55 (2024) (arXiv.org 2022)
• M.Kampschulte, B.Muha, S.Trifunović: "Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts" Journal of differential equations, Vol. 385 (15 March 2024) p. 280-324 (arxiv.org 2023)
• D.Breit, M.Kampschulte, S.Schwarzacher: "Compressible fluids interacting with 3D visco-elastic bulk solids" Mathematische Annalen, Volume 390, p. 5495–5552 (2024) (arXiv.org 2021)
• A.Češík, G.Gravina, M.Kampschulte: "Inertial (self-)collisions of viscoelastic solids with Lipschitz boundaries" (2024) Advances in Calculus of Variations (online first) (arXiv.org 2023)

Preprints

M.Kampschulte, J.Niinikoski, S.Schwarzacher: "Regularity estimates of a fluid-free surface evolution" (2024) preprint
• N.Evseev, M.Kampschulte, A.Menovschikov: "Zero-extension convergence and Sobolev spaces on changing domains" (2024) preprint

Short CV