Prof. Dr. Karoline Disser

Institute of Mathematics
Faculty 10: Mathematics and Natural Sciences
Universität Kassel
Heinrich-Plett-Straße 40
34131 Kassel

office:: HPS - 3318
hours:: wednesday 11 – 12 (by arrangement)
tel.:: (+49) 0561 / 804 – 4613
e-mail:

Research Interests

Applied Analysis and Theory of PDEs:
mathematical fluid dynamics, fluid-structure interaction, complex flows, geophysical flows, reaction-diffusion and bulk-interface systems, elliptic and parabolic regularity, regularity theory in non-smooth settings, variational methods for evolution

Teaching

Link to Current Courses

Material for Past Courses:

(Grundlagen der) Analysis I
reelle Zahlen, Konvergenz, Stetigkeit, Differentiation und Integration reeller Funktionen
lecture notes
Winter 2020 (U Kassel)

(Introduction to) Calculus of Variations
classical examples and methods, Euler-Lagrange-equations, introduction to elasticity, direct method: abstract and examples, varying types of convexity
lecture notes (version of October 2020)
Winter 2020 (U Kassel), Winter 2018 (TU Darmstadt), Winter 2015 (HU Berlin, with A. Mielke)

Function Spaces
interpolation theory; real and complex interpolation; examples: Lebesgue-, Lorentz-, Hölder-, Sobolev-, Slobodeckii-, Bessel potential-, Besov-, Orlicz- (and even more :-)) spaces; trace theorems
lecture notes
Winter 2010 (TU Darmstadt)

Modelling and Analysis of Non-Newtonian Fluids
internet seminar; introduction to continuum mechanics: modelling of fluid flow, constitutive laws and methods in the analysis of power-law-, Oldroyd-B-type, and viscoelastic dumbbell-type- fluids
notes: 1, 2, 3, 4.
Summer 2010 (TU Darmstadt)

List and Links to further Past Courses:

Lectures
Summer 2020: Grundzüge der Mathematik 2 (U Kassel)
Summer 2020: Evolutionsgleichungen (U Kassel)
Summer 2016: Analysis II (5 weeks, TU Berlin)
Summer 2015: Lineare Algebra I (HHU Düsseldorf)

Seminars
Winter 2018: Modelle, Mathematisierung und Naturverstehen: Prandtl und die Folgen with A. Nordmann (TU Darmstadt)
interdisciplinary seminar on the concept of mathematical models in the philosophy of science
Winter 2017: IRTG 1529 Seminar on Mathematical Fluid Dynamics (TU Darmstadt)
Summer 2015: Navier-Stokes Equations, with M. Köhne (HHU Düsseldorf)
Summer 2011: Generalized Principle of Linearized Stability with J. Saal (TU Darmstadt)

Publications

Links may be to older versions.

K. Disser
Global existence, uniqueness and stability for nonlinear dissipative systems of bulk-interface interaction.
J. Differential Equations 269 (2020), 4023-4044.
K. Disser
Global existence and uniqueness for a volume-surface reaction-nonlinear-diffusion system.
arXiv:1904.01996, doi: 10.3934/dcdss.2020326, Discrete and Continous Dynamical Systems - Series S (2019).
K. Disser and J. Rehberg
The 3D transient semiconductor equations with gradient-dependent and interfacial recombination.
Mathematical Models and Methods in Applied Sciences (M3AS) 29 (2019), 1819-1851.
K. Disser, M. Liero and J. Zinsl
On the evolutionary Gamma-convergence of gradient systems modeling slow and fast chemical reactions.
Nonlinearity 31 (2018), 3689-3706.
K. Disser, A.F.M. ter Elst and J. Rehberg
On maximal parabolic regularity for non-autonomous parabolic operators.
J. Differential Equations 262 (2017), 2039-2072.
K. Disser, G. P. Galdi, G. Mazzone und P. Zunino
Inertial motions of a rigid body with a cavity filled with a viscous liquid.
Arch. Rat. Mech. Anal. 221 (2016), 487-526.
K. Disser
An entropic gradient structure for quasi-steady-state approximations of chemical reactions.
Proceedings of the GAMM, 87th annual meeting, PAMM 16 (2016).
K. Disser, J. Rehberg und A. F. M. ter Elst
Hölder estimates for parabolic operators on domains with rough boundary.
Ann. Sc. Norm. Sup. Pisa XVII (2015), 65-79.
K. Disser
Well-posedness for coupled bulk-interface diffusion with mixed boundary conditions.
Analysis 35 (2015), 309-317.
K. Disser, M. Meyries and J. Rehberg
A unified framework for parabolic equations with mixed boundary conditions and diffusion on interfaces.
J. Math. Anal. Appl. 430 (2015), 1102-1123.
K. Disser, H.-C. Kaiser and Joachim Rehberg
Optimal Sobolev regularity for linear second-order divergence elliptic operators occurring in real-world problems.
SIAM J. Math. Anal. 47 (2015), 1719-1746.
K. Disser and M. Liero
On gradient structures for Markov chains and the passage to Wasserstein gradient flows.
Netw. Heterog. Media 10 (2015), 235-253.
K. Disser
Parabolic equations with mixed boundary conditions, degenerate diffusion and diffusion on interfaces.
Proceedings of the GAMM, 85th annual meeting, PAMM 14 (2014), 993-994.
K. Götze
Strong solutions for the free movement of a rigid body in an Oldroyd-B fluid.
J. Math. Fluid Mech. 15 (2013), 663-688.
M. Geissert, K. Götze and M. Hieber
Lp-theory for strong solutions to fluid rigid-body interaction in Newtonian and generalized Newtonian fluids.
Trans. Amer. Math. Soc. 365 (2013), 1393-1439.
K. Götze
Free fall of a rigid body in a viscoelastic fluid.
Geophysical Fluid Dynamics, Workshop, February 18-22, 2013, 10 of Oberwolfach Reports, MFO (2013), 554-556.
K. Götze
Maximal Lp-regularity for a 2D fluid-solid interaction problem.
Oper. Theory Adv. Appl. 221 (2012), 373-384.

Brief CV

Professor (Analysis)
Universität Kassel, since 2020
PostDoc
TU Darmstadt, 2017-2020
Habilitation
HU Berlin, 2017
Referees: Prof. A. Mielke, Prof. H. Abels, Prof. E. Emmrich
PostDoc
WIAS Berlin, 2011-2016
Visiting Professor (Partial Differential Equations)
HHU Düsseldorf, summer 2015
PostDoc
TU Darmstadt, 2009-2011;
Waseda University, Tokyo (3 months)
PhD (Mathematics, Dr. rer. nat.)
TU Darmstadt, 2007-2009
Advisor: Prof. M. Hieber
Referees: Prof. D. Bothe, Prof. Y. Shibata
Magistra Artium (Philosophy, Political Sciences, Mathematics)
TU Darmstadt, 2002-2008; University of Saskatchewan, 2005-2006
Advisor: Prof. A. Nordmann
Diploma (Mathematics)
TU Darmstadt, 2002-2007; University of Saskatchewan, 2005-2006
Advisor: Prof. M. Hieber