@inproceedings{63133,
author = {{Truong, Ha My}},
location = {{online - Paderborn}},
title = {{{Wie organisiert sind Lehramtsstudierende in ihrer Semester- und Prüfungsphasenplanung? – Entwicklung einer Evaluation zum Selbstorganisationsverhalten}}},
year = {{2023}},
}
@article{63140,
author = {{Letz, Janina Carmen}},
issn = {{0003-889X}},
journal = {{Arch. Math. (Basel)}},
number = {{2}},
pages = {{135--146}},
title = {{{Brown representability for triangulated categories with a linear action by a graded ring}}},
doi = {{10.1007/s00013-022-01800-7}},
volume = {{120}},
year = {{2023}},
}
@article{63141,
author = {{Krause, Henning and Letz, Janina Carmen}},
issn = {{0024-6093}},
journal = {{Bull. Lond. Math. Soc.}},
number = {{2}},
pages = {{680--705}},
title = {{{The spectrum of a well-generated tensor-triangulated category}}},
doi = {{10.1112/blms.12749}},
volume = {{55}},
year = {{2023}},
}
@inproceedings{46958,
author = {{Weber, Tassja}},
booktitle = {{Inverted Classroom and beyond 2023: Agile Didaktik für nachhaltige Bildung}},
editor = {{Buchner, Josef and Freisleben-Teutscher, Christian F. and Hüther, Judtih and Neiske, Iris and Morisse, Karsten and Reimer, Ricarda and Tengler, Karin}},
isbn = {{9783752645262}},
location = {{Chur (Schweiz)}},
publisher = {{Books on Demand GmbH}},
title = {{{Nachhaltigkeit in der Bildung fOERdern: Open Educational Resources in der Hochschullehre}}},
year = {{2023}},
}
@inbook{48582,
author = {{Weber, Tassja and Flinz, Carolina and Mell, Ruth and Möhrs, Christine}},
booktitle = {{ Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen}},
editor = {{Beißwenger, Michael and Gredel, Eva and Lemnitzer, Lothar and Schneider, Roman}},
isbn = {{978-3-8233-9610-9}},
publisher = {{Narr Francke Attempto Verlag}},
title = {{{Korpora für Deutsch als Fremdsprache – Potenziale und Perspektiven }}},
year = {{2023}},
}
@article{63172,
author = {{Jablonski, S}},
issn = {{1306-3030}},
number = {{4}},
title = {{{Real objects as a reason for mathematical reasoning - A comparison of different task settings}}},
volume = {{18}},
year = {{2023}},
}
@article{57556,
abstract = {{AbstractMathematical modelling emphasizes the connection between mathematics and reality — still, tasks are often exclusively introduced inside the classroom. The paper examines the potential of different task settings for mathematical modelling with real objects: outdoors at the real object itself, with photographs and with a 3D model representation. It is the aim of the study to analyze how far the mathematical modelling steps of students solving the tasks differ in comparison to the settings and representations. In a qualitative study, 19 lower secondary school students worked on tasks of all three settings in a Latin square design. Their working processes in the settings are compared with a special focus on the modelling steps Simplifying and Structuring, as well as Mathematizing. The analysis by means of activity diagrams and a qualitative content analysis shows that both steps are particularly relevant when students work with real objects — independent from the three settings. Still, differences in the actual activities could be observed in the students’ discussion on the appropriateness of a model and in dealing with inaccuracies at the real object. In addition, the process of data collection shows different procedures depending on the setting which presents each of them as an enrichment for the acquisition of modelling skills.}},
author = {{Jablonski, Simone}},
issn = {{0013-1954}},
journal = {{Educational Studies in Mathematics}},
number = {{2}},
pages = {{307--330}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Is it all about the setting? — A comparison of mathematical modelling with real objects and their representation}}},
doi = {{10.1007/s10649-023-10215-2}},
volume = {{113}},
year = {{2023}},
}
@article{48994,
author = {{Höink, Dominik}},
journal = {{Kirchenmusikalisches Jahrbuch}},
pages = {{21--30}},
title = {{{Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts}}},
volume = {{107}},
year = {{2023}},
}
@article{63168,
author = {{Jablonski, S and Ludwig, M}},
issn = {{2227-7102}},
number = {{7}},
title = {{{Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice}}},
volume = {{13}},
year = {{2023}},
}
@article{63171,
author = {{Jablonski, S and Barlovits, S and Ludwig, M}},
issn = {{2504-284X}},
title = {{{How digital tools support the validation of outdoor modelling results}}},
volume = {{8}},
year = {{2023}},
}
@inproceedings{63196,
author = {{Decker, Claudia and Westphal, Petra}},
location = {{Soest}},
title = {{{Gendersensible Bildung als ein Thema von vielen im Lehramtsstudium: Das Profil Umgang mit Heterogenität als freiwillige Zusatzqualifikation}}},
year = {{2023}},
}
@article{44081,
author = {{Serino, Laura and Gil López, Jano and Stefszky, Michael and Ricken, Raimund and Eigner, Christof and Brecht, Benjamin and Silberhorn, Christine}},
issn = {{2691-3399}},
journal = {{PRX Quantum}},
keywords = {{General Physics and Astronomy, Mathematical Physics, Applied Mathematics, Electronic, Optical and Magnetic Materials, Electrical and Electronic Engineering, General Computer Science}},
number = {{2}},
publisher = {{American Physical Society (APS)}},
title = {{{Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States}}},
doi = {{10.1103/prxquantum.4.020306}},
volume = {{4}},
year = {{2023}},
}
@article{63231,
abstract = {{
A QCM-D probes the temperature- and concentration-dependent complex high-frequency viscosity and provides information on protein-protein interactions in solutions of monoclonal antibodies.}},
author = {{Rott, Emily and Leppin, Christian and Diederichs, Tim and Garidel, Patrick and Johannsmann, Diethelm}},
issn = {{0003-2654}},
journal = {{The Analyst}},
number = {{8}},
pages = {{1887--1897}},
publisher = {{Royal Society of Chemistry (RSC)}},
title = {{{Protein–protein interactions in solutions of monoclonal antibodies probed by the dependence of the high-frequency viscosity on temperature and concentration}}},
doi = {{10.1039/d3an00076a}},
volume = {{148}},
year = {{2023}},
}
@article{63228,
abstract = {{AbstractA simulation based on the frequency‐domain lattice Boltzmann method (FreqD‐LBM) is employed to predict the shifts of resonance frequency, Δf, and half bandwidth, ΔΓ, of a quartz crystal microbalance with dissipation monitoring (QCM‐D) induced by the adsorption of rigid spheres to the resonator surface. The comparison with the experimental values of Δf and ΔΓ allows to estimate the stiffness of the contacts between the spheres and the resonator surface. The contact stiffness is of interest in contact mechanics, but also in sensing because it depends on the properties of thin films situated between the resonator surface and the sphere. The simulation differs from previous implementations of FreqD‐LBM insofar, as the material inside the particles is not included in the FreqD‐LBM algorithm. Rather, the particle surface is configured to be an oscillating boundary. The amplitude of the particles' motions (displacement and rotation) is governed by the force balance at the surface of the particle. Because the contact stiffness enters this balance, it can be derived from experimental values of Δf and ΔΓ. The simulation reproduces experiments by the Krakow group. For sufficiently small spheres, a contact stiffness can be derived from the comparison of the simulation with the experiment.}},
author = {{Johannsmann, Diethelm and Leppin, Christian and Langhoff, Arne}},
issn = {{2513-0390}},
journal = {{Advanced Theory and Simulations}},
number = {{11}},
publisher = {{Wiley}},
title = {{{Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation}}},
doi = {{10.1002/adts.202300190}},
volume = {{6}},
year = {{2023}},
}
@article{63230,
abstract = {{Quartz crystal microbalance with dissipation monitoring (QCM-D) is a well-established technique for studying soft films. It can provide gravimetric as well as nongravimetric information about a film, such as its thickness and mechanical properties. The interpretation of sets of overtone-normalized frequency shifts, ∆f/n, and overtone-normalized shifts in half-bandwidth, ΔΓ/n, provided by QCM-D relies on a model that, in general, contains five independent parameters that are needed to describe film thickness and frequency-dependent viscoelastic properties. Here, we examine how noise inherent in experimental data affects the determination of these parameters. There are certain conditions where noise prevents the reliable determination of film thickness and the loss tangent. On the other hand, we show that there are conditions where it is possible to determine all five parameters. We relate these conditions to the mathematical properties of the model in terms of simple conceptual diagrams that can help users understand the model’s behavior. Finally, we present new open source software for QCM-D data analysis written in Python, PyQTM.}},
author = {{Johannsmann, Diethelm and Langhoff, Arne and Leppin, Christian and Reviakine, Ilya and Maan, Anna M. C.}},
issn = {{1424-8220}},
journal = {{Sensors}},
number = {{3}},
publisher = {{MDPI AG}},
title = {{{Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model}}},
doi = {{10.3390/s23031348}},
volume = {{23}},
year = {{2023}},
}
@article{63229,
author = {{Johannsmann, Diethelm and Petri, Judith and Leppin, Christian and Langhoff, Arne and Ibrahim, Hozan}},
issn = {{2211-3797}},
journal = {{Results in Physics}},
publisher = {{Elsevier BV}},
title = {{{Particle fouling at hot reactor walls monitored In situ with a QCM-D and modeled with the frequency-domain lattice Boltzmann method}}},
doi = {{10.1016/j.rinp.2023.106219}},
volume = {{45}},
year = {{2023}},
}
@article{63285,
author = {{Winkler, Michael}},
issn = {{1079-9389}},
journal = {{Advances in Differential Equations}},
number = {{11/12}},
publisher = {{Khayyam Publishing, Inc}},
title = {{{Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing}}},
doi = {{10.57262/ade028-1112-921}},
volume = {{28}},
year = {{2023}},
}
@article{63288,
abstract = {{Abstract
The Cauchy problem in
R
n
{{\mathbb{R}}}^{n}
,
n
≥
2
n\ge 2
, for
u
t
=
Δ
u
−
∇
⋅
(
u
S
⋅
∇
v
)
,
0
=
Δ
v
+
u
,
(
⋆
)
\begin{array}{r}\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}{u}_{t}=\Delta u-\nabla \cdot \left(uS\cdot \nabla v),\\ 0=\Delta v+u,\end{array}\right.\hspace{2.0em}\hspace{2.0em}\hspace{2.0em}\left(\star )\end{array}
is considered for general matrices
S
∈
R
n
×
n
S\in {{\mathbb{R}}}^{n\times n}
. A theory of local-in-time classical existence and extensibility is developed in a framework that differs from those considered in large parts of the literature by involving bounded classical solutions. Specifically, it is shown that for all non-negative initial data belonging to
BUC
(
R
n
)
∩
L
p
(
R
n
)
{\rm{BUC}}\left({{\mathbb{R}}}^{n})\cap {L}^{p}\left({{\mathbb{R}}}^{n})
with some
p
∈
[
1
,
n
)
p\in \left[1,n)
, there exist
T
max
∈
(
0
,
∞
]
{T}_{\max }\in \left(0,\infty ]
and a uniquely determined
u
∈
C
0
(
[
0
,
T
max
)
;
BUC
(
R
n
)
)
∩
C
0
(
[
0
,
T
max
)
;
L
p
(
R
n
)
)
∩
C
∞
(
R
n
×
(
0
,
T
max
)
)
u\in {C}^{0}\left(\left[0,{T}_{\max });\hspace{0.33em}{\rm{BUC}}\left({{\mathbb{R}}}^{n}))\cap {C}^{0}\left(\left[0,{T}_{\max });\hspace{0.33em}{L}^{p}\left({{\mathbb{R}}}^{n}))\cap {C}^{\infty }\left({{\mathbb{R}}}^{n}\times \left(0,{T}_{\max }))
such that with
v
≔
Γ
⋆
u
v:= \Gamma \star u
, and with
Γ
\Gamma
denoting the Newtonian kernel on
R
n
{{\mathbb{R}}}^{n}
, the pair
(
u
,
v
)
\left(u,v)
forms a classical solution of (
⋆
\star
) in
R
n
×
(
0
,
T
max
)
{{\mathbb{R}}}^{n}\times \left(0,{T}_{\max })
, which has the property that
if
T
max
<
∞
,
then both
limsup
t
↗
T
max
‖
u
(
⋅
,
t
)
‖
L
∞
(
R
n
)
=
∞
and
limsup
t
↗
T
max
‖
∇
v
(
⋅
,
t
)
‖
L
∞
(
R
n
)
=
∞
.
\hspace{0.1em}\text{if}\hspace{0.1em}\hspace{0.33em}{T}_{\max }\lt \infty ,\hspace{1.0em}\hspace{0.1em}\text{then both}\hspace{0.1em}\hspace{0.33em}\mathop{\mathrm{limsup}}\limits_{t\nearrow {T}_{\max }}\Vert u\left(\cdot ,t){\Vert }_{{L}^{\infty }\left({{\mathbb{R}}}^{n})}=\infty \hspace{1.0em}\hspace{0.1em}\text{and}\hspace{0.1em}\hspace{1.0em}\mathop{\mathrm{limsup}}\limits_{t\nearrow {T}_{\max }}\Vert \nabla v\left(\cdot ,t){\Vert }_{{L}^{\infty }\left({{\mathbb{R}}}^{n})}=\infty .
An exemplary application of this provides a result on global classical solvability in cases when
∣
S
+
1
∣
| S+{\bf{1}}|
is sufficiently small, where
1
=
diag
(
1
,
…
,
1
)
{\bf{1}}={\rm{diag}}\hspace{0.33em}\left(1,\ldots ,1)
.}},
author = {{Winkler, Michael}},
issn = {{2391-5455}},
journal = {{Open Mathematics}},
number = {{1}},
publisher = {{Walter de Gruyter GmbH}},
title = {{{Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type}}},
doi = {{10.1515/math-2022-0578}},
volume = {{21}},
year = {{2023}},
}
@article{63287,
abstract = {{AbstractThe Cauchy problem in $$\mathbb {R}^n$$
R
n
is considered for the Keller–Segel system $$\begin{aligned} \left\{ \begin{array}{l}u_t = \Delta u - \nabla \cdot (u\nabla v), \\ 0 = \Delta v + u, \end{array} \right. \qquad \qquad (\star ) \end{aligned}$$
u
t
=
Δ
u
-
∇
·
(
u
∇
v
)
,
0
=
Δ
v
+
u
,
(
⋆
)
with a focus on a detailed description of behavior in the presence of nonnegative radially symmetric initial data $$u_0$$
u
0
with non-integrable behavior at spatial infinity. It is shown that if $$u_0$$
u
0
is continuous and bounded, then ($$\star $$
⋆
) admits a local-in-time classical solution, whereas if $$u_0(x)\rightarrow +\infty $$
u
0
(
x
)
→
+
∞
as $$|x|\rightarrow \infty $$
|
x
|
→
∞
, then no such solution can be found. Furthermore, a collection of three sufficient criteria for either global existence or global nonexistence indicates that with respect to the occurrence of finite-time blow-up, spatial decay properties of an explicit singular steady state plays a critical role. In particular, this underlines that explosions in ($$\star $$
⋆
) need not be enforced by initially high concentrations near finite points, but can be exclusively due to large tails.}},
author = {{Winkler, Michael}},
issn = {{2296-9020}},
journal = {{Journal of Elliptic and Parabolic Equations}},
number = {{2}},
pages = {{919--959}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity}}},
doi = {{10.1007/s41808-023-00230-y}},
volume = {{9}},
year = {{2023}},
}
@article{63289,
author = {{Winkler, Michael and Yokota, Tomomi}},
issn = {{0022-0396}},
journal = {{Journal of Differential Equations}},
pages = {{1--28}},
publisher = {{Elsevier BV}},
title = {{{Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems}}},
doi = {{10.1016/j.jde.2023.07.029}},
volume = {{374}},
year = {{2023}},
}