@inproceedings{33224,
author = {{Peeters, Hendrik and Habig, Sebastian and Fechner, Sabine}},
booktitle = {{Unsicherheit als Element von naturwissenschaftsbezogenen Bildungsprozessen}},
editor = {{Habig, Sebastian and van Vorst, Helena}},
keywords = {{augmented reality, modelle, digitale Medien}},
pages = {{788--791}},
title = {{{Einbettung von Augmented Reality in den Experimentierprozess}}},
volume = {{42}},
year = {{2022}},
}
@inproceedings{62966,
author = {{Pollmeier, Pascal and Fechner, Sabine}},
booktitle = {{Jahrestagung der Gesellschaft für Didaktik der Chemie und Physik e.V.}},
keywords = {{Epistemologie, Evidenzen, Daten, Umgang mit Daten}},
location = {{Aachen}},
title = {{{Einfluss des Praxissemesters auf den Umgang mit Evidenzen im Unterricht}}},
year = {{2022}},
}
@phdthesis{52237,
abstract = {{Wie sieht ein Argument aus und wie eine Konklusion? Diese Frage, die seit Jahrhunderten auf der Ebene der Logik, der Rhetorik und der Dialektik diskutiert wird, beschäftigt auch die moderne Sprachwissenschaft. Die sprachliche Ausgestaltung von Argumentation ist so vielfältig, wie es auch das Phänomen der Argumentation selbst ist. Eine neue Form der Kategorisierung und eine systematische Beschreibung der Vielfalt dieser Argumentationsindikatoren stehen im Zentrum der vorliegenden Studie. Die qualitative und quantitative Analyse ausgewählter Indikatoren des Deutschen und des Französischen gewährt neue Erkenntnisse im Bereich des Sprachvergleichs und der Übersetzungsforschung. Die Studie richtet sich an alle, die sich für die Themen Argumentation, Übersetzung und deutsch-romanischer Sprachvergleich interessieren.}},
author = {{Kunert, Irene Dorothea}},
pages = {{402}},
publisher = {{Stauffenburg}},
title = {{{Argumentationsindikatoren im Deutschen und im Französischen}}},
year = {{2022}},
}
@article{40371,
abstract = {{Multimode integrated interferometers have great potential for both spectral engineering and metrological applications. However, the material dispersion of integrated platforms constitutes an obstacle that limits the performance and precision of such interferometers. At the same time, two-colour nonlinear interferometers present an important tool for metrological applications, when measurements in a certain frequency range are difficult. In this manuscript, we theoretically developed and investigated an integrated multimode two-colour SU(1,1) interferometer operating in a supersensitive mode. By ensuring the proper design of the integrated platform, we suppressed the dispersion, thereby significantly increasing the visibility of the interference pattern. The use of a continuous wave pump laser provided the symmetry between the spectral shapes of the signal and idler photons concerning half the pump frequency, despite different photon colours. We demonstrate that such an interferometer overcomes the classical phase sensitivity limit for wide parametric gain ranges, when up to 3×104 photons are generated.}},
author = {{Ferreri, Alessandro and Sharapova, Polina R.}},
issn = {{2073-8994}},
journal = {{Symmetry}},
keywords = {{Physics and Astronomy (miscellaneous), General Mathematics, Chemistry (miscellaneous), Computer Science (miscellaneous)}},
number = {{3}},
publisher = {{MDPI AG}},
title = {{{Two-Colour Spectrally Multimode Integrated SU(1,1) Interferometer}}},
doi = {{10.3390/sym14030552}},
volume = {{14}},
year = {{2022}},
}
@article{30210,
abstract = {{Lithium niobate on insulator (LNOI) has a great potential for photonic integrated circuits, providing substantial versatility in design of various integrated components. To properly use these components in the implementation of different quantum protocols, photons with different properties are required. In this paper, we theoretically demonstrate a flexible source of correlated photons built on the LNOI waveguide of a special geometry. This source is based on the parametric down-conversion (PDC) process, in which the signal and idler photons are generated at the telecom wavelength and have different spatial profiles and polarizations, but the same group velocities. Distinguishability in polarizations and spatial profiles facilitates the routing and manipulating individual photons, while the equality of their group velocities leads to the absence of temporal walk-off between photons. We show how the spectral properties of the generated photons and the number of their frequency modes can be controlled depending on the pump characteristics and the waveguide length. Finally, we discuss special regimes, in which narrowband light with strong frequency correlations and polarization-entangled Bell states are generated at the telecom wavelength.}},
author = {{Ebers, Lena and Ferreri, Alessandro and Hammer, Manfred and Albert, Maximilian and Meier, Cedrik and Förstner, Jens and Sharapova, Polina R.}},
issn = {{2515-7647}},
journal = {{Journal of Physics: Photonics}},
keywords = {{tet_topic_waveguide}},
pages = {{025001}},
publisher = {{IOP Publishing}},
title = {{{Flexible source of correlated photons based on LNOI rib waveguides}}},
doi = {{10.1088/2515-7647/ac5a5b}},
volume = {{4}},
year = {{2022}},
}
@article{63139,
author = {{Iyengar, Srikanth B. and Letz, Janina Carmen and Liu, Jian and Pollitz, Josh}},
issn = {{0030-8730}},
journal = {{Pacific J. Math.}},
number = {{2}},
pages = {{275--293}},
title = {{{Exceptional complete intersection maps of local rings}}},
doi = {{10.2140/pjm.2022.318.275}},
volume = {{318}},
year = {{2022}},
}
@proceedings{55135,
editor = {{Jonas, Kristina and Quinting, Jana and Gerhards, Lisa and Hüsgen, Anne and Rubi-Fessen, Ilona and Stenneken, Prisca and Rosenkranz, Anna}},
title = {{{Kommunikation – Sprache, Emotion, Kognition}}},
year = {{2022}},
}
@article{63175,
author = {{Barlovits, S and Caldeira, A and Fesakis, G and Jablonski, S and Filippaki, DK and Lázaro, C and Ludwig, M and Mammana, MF and Moura, A and Oehler, DXK and Recio, T and Taranto, E and Volika, S}},
issn = {{2227-7390}},
number = {{10}},
title = {{{Adaptive, Synchronous, and Mobile Online Education: Developing the ASYMPTOTE Learning Environment}}},
volume = {{10}},
year = {{2022}},
}
@article{63174,
author = {{Barbosa, A and Vale, I and Jablonski, S and Ludwig, M}},
issn = {{2227-7102}},
number = {{5}},
title = {{{Walking through Algebraic Thinking with Theme-Based (Mobile) Math Trails}}},
volume = {{12}},
year = {{2022}},
}
@book{36424,
abstract = {{Das Oratorium kann als wichtige Gattung für die Analyse des Zusammenspiels von Religion und Politik im Medium der Musik gelten. Die Studie wendet sich dem Verhältnis dieser religiösen Musikform zum deutschen Nationalismus vom Beginn des Ersten bis zum Ende des Zweiten Weltkriegs zu. Im Fokus stehen verschiedene Weisen der Instrumentalisierung von Musik, etwa zur ‚Heldenehrung‘, zur Bildung einer ‚vorgestellten Gemeinschaft‘ oder zur Gewinnung der Arbeiterschaft. Bei der Analyse der Politisierung des Oratoriums sind vier Beobachtungsperspektiven leitend: Konfession, Säkularisierung, Erinnerungskultur und Vergemeinschaftung.
Entsprechend liegt der Schwerpunkt der Studie auf der Analyse der sozialgeschichtlichen Funktion der Gattung. Daneben jedoch werden – in Form von Fallstudien zu bisher unerforschten Werken – auch musikalische Detailanalysen durchgeführt, die das in der jeweiligen Komposition realisierte Verhältnis von religiösen und nationalistischen Elementen offenlegen. }},
author = {{Höink, Dominik}},
isbn = {{978-3-8309-3984-9}},
pages = {{590}},
publisher = {{Waxmann Verlag}},
title = {{{Oratorium und Nation (1914–1945) }}},
volume = {{8}},
year = {{2022}},
}
@inbook{34705,
abstract = {{n 1789, Eberhard repudiated Kant’s claim expressed in the first edition of his Critique of Pure Reason to have delivered a new, namely transcendental turn in philosophy, as he was able to retrace our cognition to the origin of phenomena instead of delivering a “merely logical deduction”. Eberhard holds that there was nothing new, but all delivered in Leibniz and Wolff; to prove his claim he refers to a quote from Du Châtelet, taken from a paragraph where she determines the right understanding as to be able “to penetrate to the origin of phenomena”. This paper brings Du Châtelet into discourse with Kant via this Eberhard quote. In its first part, it investigates the use of her quote in the Kant-Eberhard controversy. The second part serves to ground the quote in Du Châtelet’s epistemology. It lays out how to understand Du Châtelet’s claim to penetrate to the origin of phenomena. Du Châtelet’s claim to have renewed philosophy must be taken seriously, and it is helpful for rethinking the German philosophical development from the rationalists to Kant through including Du Châtelet’s theory of cognition.}},
author = {{Hagengruber, Ruth Edith}},
booktitle = {{Époque Émilienne Philosophy and Science in the Age of Émilie Du Châtelet (1706-1749)}},
editor = {{Hagengruber, Ruth Edith}},
isbn = {{9783030899202}},
issn = {{2523-8760}},
keywords = {{Émilie Du Châtelet, History of Science, Newton, Kant, Eberhard, Wolff, Leibniz}},
pages = {{57--84}},
publisher = {{Springer International Publishing}},
title = {{{Du Châtelet and Kant: Claiming the Renewal of Philosophy}}},
doi = {{10.1007/978-3-030-89921-9_3}},
volume = {{10}},
year = {{2022}},
}
@inbook{63184,
author = {{Hagengruber, Ruth}},
booktitle = {{Époque Émilienne Philosophy and Science in the Age of Émilie Du Châtelet (1706-1749)}},
editor = {{Hagengruber, Ruth Edith}},
isbn = {{9783030899202}},
issn = {{2523-8760}},
pages = {{1--20}},
publisher = {{Springer International Publishing}},
title = {{{An Introduction to the Volume}}},
doi = {{10.1007/978-3-030-89921-9_1}},
volume = {{10}},
year = {{2022}},
}
@article{63206,
abstract = {{AbstractPure iron is very attractive as a biodegradable implant material due to its high biocompatibility. In combination with additive manufacturing, which facilitates great flexibility of the implant design, it is possible to selectively adjust the microstructure of the material in the process, thereby control the corrosion and fatigue behavior. In the present study, conventional hot-rolled (HR) pure iron is compared to pure iron manufactured by electron beam melting (EBM). The microstructure, the corrosion behavior and the fatigue properties were studied comprehensively. The investigated sample conditions showed significant differences in the microstructures that led to changes in corrosion and fatigue properties. The EBM iron showed significantly lower fatigue strength compared to the HR iron. These different fatigue responses were observed under purely mechanical loading as well as with superimposed corrosion influence and are summarized in a model that describes the underlying failure mechanisms.}},
author = {{Wackenrohr, Steffen and Torrent, Christof Johannes Jaime and Herbst, Sebastian and Nürnberger, Florian and Krooss, Philipp and Ebbert, Christoph and Voigt, Markus and Grundmeier, Guido and Niendorf, Thomas and Maier, Hans Jürgen}},
issn = {{2397-2106}},
journal = {{npj Materials Degradation}},
number = {{1}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Corrosion fatigue behavior of electron beam melted iron in simulated body fluid}}},
doi = {{10.1038/s41529-022-00226-4}},
volume = {{6}},
year = {{2022}},
}
@article{33670,
author = {{Schapeler, Timon and Bartley, Tim}},
issn = {{2469-9926}},
journal = {{Physical Review A}},
number = {{1}},
publisher = {{American Physical Society (APS)}},
title = {{{Information extraction in photon-counting experiments}}},
doi = {{10.1103/physreva.106.013701}},
volume = {{106}},
year = {{2022}},
}
@article{63234,
author = {{Wiegmann, Jens and Leppin, Christian and Langhoff, Arne and Schwaderer, Jan and Beuermann, Sabine and Johannsmann, Diethelm and Weber, Alfred P.}},
issn = {{0921-8831}},
journal = {{Advanced Powder Technology}},
number = {{3}},
publisher = {{Elsevier BV}},
title = {{{Influence of the solvent evaporation rate on the β-Phase content of electrosprayed PVDF particles and films studied by a fast Multi-Overtone QCM}}},
doi = {{10.1016/j.apt.2022.103452}},
volume = {{33}},
year = {{2022}},
}
@article{63233,
author = {{Leppin, Christian and Langhoff, Arne and Johannsmann, Diethelm}},
issn = {{0003-2700}},
journal = {{Analytical Chemistry}},
number = {{28}},
pages = {{10227--10233}},
publisher = {{American Chemical Society (ACS)}},
title = {{{Square-Wave Electrogravimetry Combined with Voltammetry Reveals Reversible Submonolayer Adsorption of Redox-Active Ions}}},
doi = {{10.1021/acs.analchem.2c01763}},
volume = {{94}},
year = {{2022}},
}
@article{63310,
abstract = {{AbstractThe chemotaxis–Stokes systemnt+u⋅∇n=∇⋅(D(n)∇n)−∇⋅(nS(x,n,c)⋅∇c),ct+u⋅∇c=Δc−nc,ut=Δu+∇P+n∇Φ,∇⋅u=0,\left\{\begin{array}{l}{n}_{t}+u\cdot \nabla n=\nabla \cdot (D\left(n)\nabla n)-\nabla \cdot (nS\left(x,n,c)\cdot \nabla c),\\ {c}_{t}+u\cdot \nabla c=\Delta c-nc,\\ {u}_{t}=\Delta u+\nabla P+n\nabla \Phi ,\hspace{1.0em}\nabla \cdot u=0,\end{array}\right.is considered in a smoothly bounded convex domainΩ⊂R3\Omega \subset {{\mathbb{R}}}^{3}, with given suitably regular functionsD:[0,∞)→[0,∞)D:{[}0,\infty )\to {[}0,\infty ),S:Ω¯×[0,∞)×(0,∞)→R3×3S:\overline{\Omega }\times {[}0,\infty )\times \left(0,\infty )\to {{\mathbb{R}}}^{3\times 3}andΦ:Ω¯→R\Phi :\overline{\Omega }\to {\mathbb{R}}such thatD>0D\gt 0on(0,∞)\left(0,\infty ). It is shown that if with some nondecreasingS0:(0,∞)→(0,∞){S}_{0}:\left(0,\infty )\to \left(0,\infty )we have∣S(x,n,c)∣≤S0(c)c12for all(x,n,c)∈Ω¯×[0,∞)×(0,∞),| S\left(x,n,c)| \le \frac{{S}_{0}\left(c)}{{c}^{\tfrac{1}{2}}}\hspace{1.0em}\hspace{0.1em}\text{for all}\hspace{0.1em}\hspace{0.33em}\left(x,n,c)\in \overline{\Omega }\times {[}0,\infty )\times \left(0,\infty ),then for allM>0M\gt 0there existsL(M)>0L\left(M)\gt 0such that wheneverliminfn→∞D(n)>L(M)andliminfn↘0D(n)n>0,\mathop{\mathrm{liminf}}\limits_{n\to \infty }D\left(n)\gt L\left(M)\hspace{1.0em}\hspace{0.1em}\text{and}\hspace{0.1em}\hspace{1.0em}\mathop{\mathrm{liminf}}\limits_{n\searrow 0}\frac{D\left(n)}{n}\gt 0,for all sufficiently regular initial data(n0,c0,u0)\left({n}_{0},{c}_{0},{u}_{0})fulfilling‖c0‖L∞(Ω)≤M\Vert {c}_{0}{\Vert }_{{L}^{\infty }\left(\Omega )}\le Man associated no-flux/no-flux/Dirichlet initial-boundary value problem admits a global bounded weak solution, classical if additionallyD(0)>0D\left(0)\gt 0. When combined with previously known results, this particularly implies global existence of bounded solutions whenD(n)=nm−1D\left(n)={n}^{m-1},n≥0n\ge 0, with arbitrarym>1m\gt 1, but beyond this asserts global boundedness also in the presence of diffusivities which exhibit arbitrarily slow divergence to+∞+\inftyat large densities and of possibly singular chemotactic sensitivities.}},
author = {{Winkler, Michael}},
issn = {{2169-0375}},
journal = {{Advanced Nonlinear Studies}},
number = {{1}},
pages = {{88--117}},
publisher = {{Walter de Gruyter GmbH}},
title = {{{Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings}}},
doi = {{10.1515/ans-2022-0004}},
volume = {{22}},
year = {{2022}},
}
@article{63305,
abstract = {{AbstractA no-flux initial-boundary value problem for the doubly degenrate parabolic system $$\begin{aligned} \left\{ \begin{array}{l} u_t = \nabla \cdot \big ( uv\nabla u\big ) + \ell uv, \\ v_t = \Delta v - uv, \end{array} \right. \qquad \qquad (\star ) \end{aligned}$$
u
t
=
∇
·
(
u
v
∇
u
)
+
ℓ
u
v
,
v
t
=
Δ
v
-
u
v
,
(
⋆
)
is considered in a smoothly bounded convex domain $$\Omega \subset \mathbb {R}^n$$
Ω
⊂
R
n
, with $$n\ge 1$$
n
≥
1
and $$\ell \ge 0$$
ℓ
≥
0
. The first of the main results asserts that for nonnegative initial data $$(u_0,v_0)\in (L^\infty (\Omega ))^2$$
(
u
0
,
v
0
)
∈
(
L
∞
(
Ω
)
)
2
with $$u_0\not \equiv 0$$
u
0
≢
0
, $$v_0\not \equiv 0$$
v
0
≢
0
and $$\sqrt{v_0}\in W^{1,2}(\Omega )$$
v
0
∈
W
1
,
2
(
Ω
)
, there exists a global weak solution (u, v) which, inter alia, belongs to $$C^0(\overline{\Omega }\times (0,\infty )) \times C^{2,1}(\overline{\Omega }\times (0,\infty ))$$
C
0
(
Ω
¯
×
(
0
,
∞
)
)
×
C
2
,
1
(
Ω
¯
×
(
0
,
∞
)
)
and satisfies $$\sup _{t>0} \Vert u(\cdot ,t)\Vert _{L^p(\Omega )}<\infty $$
sup
t
>
0
‖
u
(
·
,
t
)
‖
L
p
(
Ω
)
<
∞
for all $$p\in [1,p_0)$$
p
∈
[
1
,
p
0
)
with $$p_0:=\frac{n}{(n-2)_+}$$
p
0
:
=
n
(
n
-
2
)
+
. It is next seen that for each of these solutions one can find $$u_\infty \in \bigcap _{p\in [1,p_0)} L^p(\Omega )$$
u
∞
∈
⋂
p
∈
[
1
,
p
0
)
L
p
(
Ω
)
such that, within an appropriate topological setting, $$(u(\cdot ,t),v(\cdot ,t))$$
(
u
(
·
,
t
)
,
v
(
·
,
t
)
)
approaches the equilibrium $$(u_\infty ,0)$$
(
u
∞
,
0
)
in the large time limit. Finally, in the case $$n\le 5$$
n
≤
5
a result ensuring a certain stability property of any member in the uncountably large family of steady states $$(u_0,0)$$
(
u
0
,
0
)
, with arbitrary and suitably regular $$u_0:\Omega \rightarrow [0,\infty )$$
u
0
:
Ω
→
[
0
,
∞
)
, is derived. This provides some rigorous evidence for the appropriateness of ($$\star $$
⋆
) to model the emergence of a strikingly large variety of stable structures observed in experiments on bacterial motion in nutrient-poor environments. Essential parts of the analysis rely on the use of an apparently novel class of functional inequalities to suitably cope with the doubly degenerate diffusion mechanism in ($$\star $$
⋆
).}},
author = {{Winkler, Michael}},
issn = {{0944-2669}},
journal = {{Calculus of Variations and Partial Differential Equations}},
number = {{3}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar}}},
doi = {{10.1007/s00526-021-02168-2}},
volume = {{61}},
year = {{2022}},
}
@article{63311,
abstract = {{AbstractThe Cauchy problem in $$\mathbb {R}^n$$
R
n
, $$n\ge 1$$
n
≥
1
, for the degenerate parabolic equation $$\begin{aligned} u_t=u^p \Delta u \qquad \qquad (\star ) \end{aligned}$$
u
t
=
u
p
Δ
u
(
⋆
)
is considered for $$p\ge 1$$
p
≥
1
. It is shown that given any positive $$f\in C^0([0,\infty ))$$
f
∈
C
0
(
[
0
,
∞
)
)
and $$g\in C^0([0,\infty ))$$
g
∈
C
0
(
[
0
,
∞
)
)
satisfying $$\begin{aligned} f(t)\rightarrow + \infty \quad \text{ and } \quad g(t)\rightarrow 0 \qquad \text{ as } t\rightarrow \infty , \end{aligned}$$
f
(
t
)
→
+
∞
and
g
(
t
)
→
0
as
t
→
∞
,
one can find positive and radially symmetric continuous initial data with the property that the initial value problem for ($$\star $$
⋆
) admits a positive classical solution such that $$\begin{aligned} t^\frac{1}{p} \Vert u(\cdot ,t)\Vert _{L^\infty (\mathbb {R}^n)} \rightarrow \infty \qquad \text{ and } \qquad \Vert u(\cdot ,t)\Vert _{L^\infty (\mathbb {R}^n)} \rightarrow 0 \qquad \text{ as } t\rightarrow \infty , \end{aligned}$$
t
1
p
‖
u
(
·
,
t
)
‖
L
∞
(
R
n
)
→
∞
and
‖
u
(
·
,
t
)
‖
L
∞
(
R
n
)
→
0
as
t
→
∞
,
but that $$\begin{aligned} \liminf _{t\rightarrow \infty } \frac{t^\frac{1}{p} \Vert u(\cdot ,t)\Vert _{L^\infty (\mathbb {R}^n)}}{f(t)} =0 \end{aligned}$$
lim inf
t
→
∞
t
1
p
‖
u
(
·
,
t
)
‖
L
∞
(
R
n
)
f
(
t
)
=
0
and $$\begin{aligned} \limsup _{t\rightarrow \infty } \frac{\Vert u(\cdot ,t)\Vert _{L^\infty (\mathbb {R}^n)}}{g(t)} =\infty . \end{aligned}$$
lim sup
t
→
∞
‖
u
(
·
,
t
)
‖
L
∞
(
R
n
)
g
(
t
)
=
∞
.
}},
author = {{Winkler, Michael}},
issn = {{2662-2963}},
journal = {{Partial Differential Equations and Applications}},
number = {{4}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Oscillatory decay in a degenerate parabolic equation}}},
doi = {{10.1007/s42985-022-00186-z}},
volume = {{3}},
year = {{2022}},
}
@article{63312,
abstract = {{<p style='text-indent:20px;'>The chemotaxis system</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{array}{l}\left\{ \begin{array}{l} u_t = \nabla \cdot \big( D(u) \nabla u \big) - \nabla \cdot \big( uS(x, u, v)\cdot \nabla v\big), \\ v_t = \Delta v -uv, \end{array} \right. \end{array} $\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>is considered in a bounded domain <inline-formula><tex-math id="M1">\begin{document}$ \Omega\subset \mathbb{R}^n $\end{document}</tex-math></inline-formula>, <inline-formula><tex-math id="M2">\begin{document}$ n\ge 2 $\end{document}</tex-math></inline-formula>, with smooth boundary.</p><p style='text-indent:20px;'>It is shown that if <inline-formula><tex-math id="M3">\begin{document}$ D: [0, \infty) \to [0, \infty) $\end{document}</tex-math></inline-formula> and <inline-formula><tex-math id="M4">\begin{document}$ S: \overline{\Omega}\times [0, \infty)\times (0, \infty)\to \mathbb{R}^{n\times n} $\end{document}</tex-math></inline-formula> are suitably smooth functions satisfying</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE2"> \begin{document}$ \begin{array}{l}D(u) \ge k_D u^{m-1} \qquad {\rm{for\; all}}\; u\ge 0 \end{array} $\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>and</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE3"> \begin{document}$ \begin{array}{l}|S(x, u, v)| \le \frac{S_0(v)}{v^\alpha} \qquad {\rm{for\; all}}\; (x, u, v)\; \in \Omega\times (0, \infty)^2 \end{array} $\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>with some</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE4"> \begin{document}$ \begin{array}{l}m>\frac{3n-2}{2n} \qquad {\rm{and}}\;\alpha\in [0, 1), \end{array} $\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>and with some <inline-formula><tex-math id="M5">\begin{document}$ k_D>0 $\end{document}</tex-math></inline-formula> and nondecreasing <inline-formula><tex-math id="M6">\begin{document}$ S_0: (0, \infty)\to (0, \infty) $\end{document}</tex-math></inline-formula>, then for all suitably regular initial data a corresponding no-flux type initial-boundary value problem admits a global bounded weak solution which actually is smooth and classical if <inline-formula><tex-math id="M7">\begin{document}$ D(0)>0 $\end{document}</tex-math></inline-formula>.</p>}},
author = {{Winkler, Michael}},
issn = {{1531-3492}},
journal = {{Discrete and Continuous Dynamical Systems - B}},
number = {{11}},
publisher = {{American Institute of Mathematical Sciences (AIMS)}},
title = {{{Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities}}},
doi = {{10.3934/dcdsb.2022009}},
volume = {{27}},
year = {{2022}},
}