@article{53319,
abstract = {{Abstract
The Neumann problem for (0.1)$$ \begin{align}& V_t = \Delta V-aV+f(x,t) \end{align}$$is considered in bounded domains $\Omega \subset {\mathbb {R}}^n$ with smooth boundary, where $n\ge 1$ and $a\in {\mathbb {R}}$. By means of a variational approach, a statement on boundedness of the quantities $$ \begin{eqnarray*} \sup_{t\in (0,T)} \int_\Omega \big|\nabla V(\cdot,t)\big|^p L^{\frac{n+p}{n+2}} \Big( \big|\nabla V(\cdot,t)\big| \Big) \end{eqnarray*}$$in dependence on the expressions (0.2)$$ \begin{align}& \sup_{t\in (0,T-\tau)} \int_t^{t+\tau} \int_\Omega |f|^{\frac{(n+2)p}{n+p}} L\big( |f|\big) \end{align}$$is derived for $p\ge 2$, $\tau>0$, and $T\ge 2\tau $, provided that $L\in C^0([0,\infty ))$ is positive, strictly increasing, unbounded, and slowly growing in the sense that $\limsup _{s\to \infty } \frac {L(s^{\lambda _0})}{L(s)} <\infty $ for some $\lambda _0>1$. In the particular case when $p=n\ge 2$, an additional condition on growth of $L$, particularly satisfied by $L(\xi ):=\ln ^\alpha (\xi +b)$ whenever $b>0$ and $\alpha>\frac {(n+2)(n-1)}{2n}$, is identified as sufficient to ensure that as a consequence of the above, bounds for theintegrals in (0.2) even imply estimates for the spatio-temporal modulus of continuity of solutions to (0.1). A subsequent application to the Keller–Segel system $$ \begin{eqnarray*} \left\{ \begin{array}{l} u_t = \nabla \cdot \big( D(v)\nabla u\big) - \nabla \cdot \big( uS(v)\nabla v\big) + ru - \mu u^2, \\[1mm] v_t = \Delta v-v+u, \end{array} \right. \end{eqnarray*}$$shows that when $n=2$, $r\in {\mathbb {R}}$, $0<D\in C^2([0,\infty ))$, and $S\in C^2([0,\infty )) \cap W^{1,\infty }((0,\infty ))$ and thus especially in the presence of arbitrarily strong diffusion degeneracies implied by rapid decay of $D$, any choice of $\mu>0$ excludes blowup in the sense that for all suitably regular nonnegative initial data, an associated initial-boundary value problem admits a global bounded classical solution.}},
author = {{Winkler, Michael}},
issn = {{1073-7928}},
journal = {{International Mathematics Research Notices}},
keywords = {{General Mathematics}},
number = {{19}},
pages = {{16336--16393}},
publisher = {{Oxford University Press (OUP)}},
title = {{{A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System}}},
doi = {{10.1093/imrn/rnac286}},
volume = {{2023}},
year = {{2022}},
}
@article{53321,
abstract = {{ The chemotaxis system [Formula: see text] is considered in a ball [Formula: see text], [Formula: see text], where the positive function [Formula: see text] reflects suitably weak diffusion by satisfying [Formula: see text] for some [Formula: see text]. It is shown that whenever [Formula: see text] is positive and satisfies [Formula: see text] as [Formula: see text], one can find a suitably regular nonlinearity [Formula: see text] with the property that at each sufficiently large mass level [Formula: see text] there exists a globally defined radially symmetric classical solution to a Neumann-type boundary value problem for (⋆) which satisfies [Formula: see text] }},
author = {{Winkler, Michael}},
issn = {{0219-1997}},
journal = {{Communications in Contemporary Mathematics}},
keywords = {{Applied Mathematics, General Mathematics}},
number = {{10}},
publisher = {{World Scientific Pub Co Pte Ltd}},
title = {{{Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems}}},
doi = {{10.1142/s0219199722500626}},
volume = {{25}},
year = {{2022}},
}
@article{53323,
abstract = {{AbstractIn a ball $$\Omega =B_R(0)\subset \mathbb {R}^n$$
Ω
=
B
R
(
0
)
⊂
R
n
, $$n\ge 2$$
n
≥
2
, the chemotaxis system $$\begin{aligned} \left\{ \begin{array}{l}u_t = \nabla \cdot \big ( D(u) \nabla u \big ) - \nabla \cdot \big ( uS(u)\nabla v\big ), \\ 0 = \Delta v - \mu + u, \qquad \mu =\frac{1}{|\Omega |} \int _\Omega u, \end{array} \right. \qquad \qquad (\star ) \end{aligned}$$
u
t
=
∇
·
(
D
(
u
)
∇
u
)
-
∇
·
(
u
S
(
u
)
∇
v
)
,
0
=
Δ
v
-
μ
+
u
,
μ
=
1
|
Ω
|
∫
Ω
u
,
(
⋆
)
is considered under no-flux boundary conditions, with a focus on nonlinearities $$S\in C^2([0,\infty ))$$
S
∈
C
2
(
[
0
,
∞
)
)
which exhibit super-algebraically fast decay in the sense that with some $$K_S>0, \beta \in [0,1)$$
K
S
>
0
,
β
∈
[
0
,
1
)
and $$\xi _0>0$$
ξ
0
>
0
, $$\begin{aligned} S(\xi )>0 \quad \text{ and } \quad S'(\xi ) \le -K_S\xi ^{-\beta } S(\xi ) \qquad \text{ for } \text{ all } \xi \ge \xi _0. \end{aligned}$$
S
(
ξ
)
>
0
and
S
′
(
ξ
)
≤
-
K
S
ξ
-
β
S
(
ξ
)
for
all
ξ
≥
ξ
0
.
It is, inter alia, shown that if furthermore $$D\in C^2((0,\infty ))$$
D
∈
C
2
(
(
0
,
∞
)
)
is positive and suitably small in relation to S by satisfying $$\begin{aligned} \frac{\xi S(\xi )}{D(\xi )} \ge K_{SD}\xi ^\lambda \qquad \text{ for } \text{ all } \xi \ge \xi _0 \end{aligned}$$
ξ
S
(
ξ
)
D
(
ξ
)
≥
K
SD
ξ
λ
for
all
ξ
≥
ξ
0
with some $$K_{SD}>0$$
K
SD
>
0
and $$\lambda >\frac{2}{n}$$
λ
>
2
n
, then throughout a considerably large set of initial data, ($$\star $$
⋆
) admits global classical solutions (u, v) fulfilling $$\begin{aligned} \frac{z(t)}{C} \le \Vert u(\cdot ,t)\Vert _{L^\infty (\Omega )} \le Cz(t) \qquad \text{ for } \text{ all } t>0, \end{aligned}$$
z
(
t
)
C
≤
‖
u
(
·
,
t
)
‖
L
∞
(
Ω
)
≤
C
z
(
t
)
for
all
t
>
0
,
with some $$C=C^{(u,v)}\ge 1$$
C
=
C
(
u
,
v
)
≥
1
, where z denotes the solution of $$\begin{aligned} \left\{ \begin{array}{l}z'(t) = z^2(t) \cdot S\big ( z(t)\big ), \qquad t>0, \\ z(0)=\xi _0, \end{array} \right. \end{aligned}$$
z
′
(
t
)
=
z
2
(
t
)
·
S
(
z
(
t
)
)
,
t
>
0
,
z
(
0
)
=
ξ
0
,
which is seen to exist globally, and to satisfy $$z(t)\rightarrow +\infty $$
z
(
t
)
→
+
∞
as $$t\rightarrow \infty $$
t
→
∞
. As particular examples, exponentially and doubly exponentially decaying S are found to imply corresponding infinite-time blow-up properties in ($$\star $$
⋆
) at logarithmic and doubly logarithmic rates, respectively.}},
author = {{Winkler, Michael}},
issn = {{1040-7294}},
journal = {{Journal of Dynamics and Differential Equations}},
keywords = {{Analysis}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Slow Grow-up in a Quasilinear Keller–Segel System}}},
doi = {{10.1007/s10884-022-10167-w}},
year = {{2022}},
}
@article{53327,
author = {{Tao, Youshan and Winkler, Michael}},
issn = {{0022-0396}},
journal = {{Journal of Differential Equations}},
keywords = {{Analysis, Applied Mathematics}},
pages = {{390--418}},
publisher = {{Elsevier BV}},
title = {{{Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension}}},
doi = {{10.1016/j.jde.2022.10.022}},
volume = {{343}},
year = {{2022}},
}
@article{53325,
author = {{Desvillettes, Laurent and Laurençot, Philippe and Trescases, Ariane and Winkler, Michael}},
issn = {{0362-546X}},
journal = {{Nonlinear Analysis}},
keywords = {{Applied Mathematics, Analysis}},
publisher = {{Elsevier BV}},
title = {{{Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing}}},
doi = {{10.1016/j.na.2022.113153}},
volume = {{226}},
year = {{2022}},
}
@article{53331,
abstract = {{In a ball $\Omega \subset \mathbb {R}^{n}$ with $n\ge 2$, the chemotaxis system
\[ \left\{ \begin{array}{@{}l} u_t = \nabla \cdot \big( D(u)\nabla u\big) + \nabla\cdot \big(\dfrac{u}{v} \nabla v\big), \\ 0=\Delta v - uv \end{array} \right. \]is considered along with no-flux boundary conditions for $u$ and with prescribed constant positive Dirichlet boundary data for $v$. It is shown that if $D\in C^{3}([0,\infty ))$ is such that $0< D(\xi ) \le {K_D} (\xi +1)^{-\alpha }$ for all $\xi >0$ with some ${K_D}>0$ and $\alpha >0$, then for all initial data from a considerably large set of radial functions on $\Omega$, the corresponding initial-boundary value problem admits a solution blowing up in finite time.}},
author = {{Wang, Yulan and Winkler, Michael}},
issn = {{0308-2105}},
journal = {{Proceedings of the Royal Society of Edinburgh: Section A Mathematics}},
keywords = {{General Mathematics}},
number = {{4}},
pages = {{1150--1166}},
publisher = {{Cambridge University Press (CUP)}},
title = {{{Finite-time blow-up in a repulsive chemotaxis-consumption system}}},
doi = {{10.1017/prm.2022.39}},
volume = {{153}},
year = {{2022}},
}
@article{53344,
abstract = {{ A no-flux initial-boundary value problem for the cross-diffusion system [Formula: see text] is considered in smoothly bounded domains [Formula: see text] with [Formula: see text]. It is shown that whenever [Formula: see text] is positive on [Formula: see text] and such that [Formula: see text] for some [Formula: see text], for all suitably regular positive initial data a global very weak solution, particularly preserving mass in its first component, can be constructed. This extends previous results which either concentrate on non-degenerate analogs, or are restricted to the special case [Formula: see text]. To appropriately cope with the considerably stronger cross-degeneracies thus allowed through [Formula: see text] when [Formula: see text] is large, in its core part the analysis relies on the use of the Moser–Trudinger inequality in controlling the respective diffusion rates [Formula: see text] from below. }},
author = {{Winkler, Michael}},
issn = {{1664-3607}},
journal = {{Bulletin of Mathematical Sciences}},
keywords = {{General Mathematics}},
number = {{02}},
publisher = {{World Scientific Pub Co Pte Ltd}},
title = {{{Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model}}},
doi = {{10.1142/s1664360722500126}},
volume = {{13}},
year = {{2022}},
}
@techreport{35788,
author = {{Fochmann, Martin and Heinemann-Heile, Vanessa and Huber, Hans-Peter and Maiterth, Ralf and Sureth-Sloane, Caren}},
issn = {{1556-5068}},
keywords = {{General Earth and Planetary Sciences, General Environmental Science}},
title = {{{Zusatzkosten der Besteuerung – Eine Analyse des steuerlichen Verwaltungsaufwands und der subjektiv wahrgenommenen Steuerbelastung (An Empirical Analysis of Firms’ Hidden Cost of Taxation)}}},
doi = {{10.2139/ssrn.4210460}},
volume = {{100}},
year = {{2022}},
}
@techreport{35795,
author = {{Greil, Stefan and Overesch, Michael and Rohlfing-Bastian, Anna and Schreiber, Ulrich and Sureth-Sloane, Caren}},
issn = {{1556-5068}},
title = {{{Towards an Amended Arm's Length Principle - Tackling complexity and implementing destination rules in transfer pricing}}},
doi = {{10.2139/ssrn.4166972}},
volume = {{89}},
year = {{2022}},
}
@inproceedings{52574,
author = {{Werth, Gerda}},
booktitle = {{Beiträge zum Mathematikunterricht}},
location = {{Frankfurt am. Main}},
publisher = {{WTM}},
title = {{{Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde Vaertings}}},
doi = {{https://doi.org/10.37626/GA9783959872089.0}},
year = {{2022}},
}
@article{35749,
author = {{Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre e.V., . and lead authors: Kreuzer, A and Maier, H and Martini, J. T. and Niemann, Rainer and Schachtebeck, Maite and Simons, Dirk and Stoltenberg, J and Sureth-Sloane, Caren}},
journal = {{Internationales Steuerrecht}},
number = {{22}},
pages = {{824--829}},
title = {{{Chancen und Risiken eines Cooperative Compliance-Ansatzes für die deutsche Besteuerungspraxis von multinationalen Unternehmen – Erfahrungen verschiedener Länder und Eindrücke deutscher Unternehmensvertreter}}},
volume = {{31}},
year = {{2022}},
}
@unpublished{53421,
abstract = {{We define invariants $\operatorname{inv}_1,\dots,\operatorname{inv}_m$ of
Galois extensions of number fields with a fixed Galois group. Then, we propose
a heuristic in the spirit of Malle's conjecture which asymptotically predicts
the number of extensions that satisfy $\operatorname{inv}_i\leq X_i$ for all
$X_i$. The resulting conjecture is proved for abelian Galois groups. We also
describe refined Artin conductors that carry essentially the same information
as the invariants $\operatorname{inv}_1,\dots,\operatorname{inv}_m$.}},
author = {{Gundlach, Fabian}},
booktitle = {{arXiv:2211.16698}},
title = {{{Malle's conjecture with multiple invariants}}},
year = {{2022}},
}
@inproceedings{49825,
author = {{Lehmann, Isabell and Acar, Evrim and Hasija, Tanuj and Akhonda, M.A.B.S. and Calhoun, Vince D. and Schreier, Peter and Adali, Tulay}},
booktitle = {{ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)}},
publisher = {{IEEE}},
title = {{{Multi-Task fMRI Data Fusion Using IVA and PARAFAC2}}},
doi = {{10.1109/icassp43922.2022.9747662}},
year = {{2022}},
}
@article{53238,
author = {{Tavana, Madjid and Khalili Nasr, Arash and Mina, Hassan and Michnik, Jerzy}},
issn = {{0038-0121}},
journal = {{Socio-Economic Planning Sciences}},
keywords = {{Management Science and Operations Research, Statistics, Probability and Uncertainty, Strategy and Management, Economics and Econometrics, Geography, Planning and Development}},
publisher = {{Elsevier BV}},
title = {{{A private sustainable partner selection model for green public-private partnerships and regional economic development}}},
doi = {{10.1016/j.seps.2021.101189}},
volume = {{83}},
year = {{2022}},
}
@article{53240,
author = {{Tavana, Madjid and Azadmanesh, Abdolreza and Nasr, Arash Khalili and Mina, Hassan}},
issn = {{1368-3500}},
journal = {{Current Issues in Tourism}},
keywords = {{Tourism, Leisure and Hospitality Management, Geography, Planning and Development}},
number = {{22}},
pages = {{3709--3734}},
publisher = {{Informa UK Limited}},
title = {{{A multicriteria-optimization model for cultural heritage renovation projects and public-private partnerships in the hospitality industry}}},
doi = {{10.1080/13683500.2021.2015299}},
volume = {{25}},
year = {{2022}},
}
@article{53241,
author = {{Khalili-Damghani, Kaveh and Tavana, Madjid and Ghasemi, Peiman}},
issn = {{0254-5330}},
journal = {{Annals of Operations Research}},
keywords = {{Management Science and Operations Research, General Decision Sciences}},
number = {{1}},
pages = {{103--141}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{A stochastic bi-objective simulation–optimization model for cascade disaster location-allocation-distribution problems}}},
doi = {{10.1007/s10479-021-04191-0}},
volume = {{309}},
year = {{2022}},
}
@article{53236,
author = {{Tavana, Madjid and Shaabani, Akram and Di Caprio, Debora and Bonyani, Abbas}},
issn = {{0957-4174}},
journal = {{Expert Systems with Applications}},
keywords = {{Artificial Intelligence, Computer Science Applications, General Engineering}},
publisher = {{Elsevier BV}},
title = {{{A novel Interval Type-2 Fuzzy best-worst method and combined compromise solution for evaluating eco-friendly packaging alternatives}}},
doi = {{10.1016/j.eswa.2022.117188}},
volume = {{200}},
year = {{2022}},
}
@article{53237,
author = {{Tavana, Madjid and Kian, Hadi and Nasr, Arash Khalili and Govindan, Kannan and Mina, Hassan}},
issn = {{0959-6526}},
journal = {{Journal of Cleaner Production}},
keywords = {{Industrial and Manufacturing Engineering, Strategy and Management, General Environmental Science, Renewable Energy, Sustainability and the Environment}},
publisher = {{Elsevier BV}},
title = {{{A comprehensive framework for sustainable closed-loop supply chain network design}}},
doi = {{10.1016/j.jclepro.2021.129777}},
volume = {{332}},
year = {{2022}},
}
@article{53239,
author = {{Tavana, Madjid and Ghasrikhouzani, Mohsen and Abtahi, Amir-Reza}},
issn = {{0953-7325}},
journal = {{Technology Analysis & Strategic Management}},
keywords = {{Management Science and Operations Research, Strategy and Management}},
number = {{8}},
pages = {{859--875}},
publisher = {{Informa UK Limited}},
title = {{{A technology development framework for scenario planning and futures studies using causal modeling}}},
doi = {{10.1080/09537325.2021.1931672}},
volume = {{34}},
year = {{2022}},
}
@article{53242,
author = {{Ebadi Torkayesh, Ali and Tavana, Madjid and Santos-Arteaga, Francisco J.}},
issn = {{0959-6526}},
journal = {{Journal of Cleaner Production}},
keywords = {{Industrial and Manufacturing Engineering, Strategy and Management, General Environmental Science, Renewable Energy, Sustainability and the Environment, Building and Construction}},
publisher = {{Elsevier BV}},
title = {{{A multi-distance interval-valued neutrosophic approach for social failure detection in sustainable municipal waste management}}},
doi = {{10.1016/j.jclepro.2022.130409}},
volume = {{336}},
year = {{2022}},
}