@article{53261,
author = {{Soleymani, Mohammad and Santamaria, Ignacio and Jorswieck, Eduard and Clerckx, Bruno}},
issn = {{1536-1276}},
journal = {{IEEE Transactions on Wireless Communications}},
keywords = {{Applied Mathematics, Electrical and Electronic Engineering, Computer Science Applications}},
pages = {{1--1}},
publisher = {{Institute of Electrical and Electronics Engineers (IEEE)}},
title = {{{Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems}}},
doi = {{10.1109/twc.2023.3324190}},
year = {{2023}},
}
@article{53265,
author = {{Soleymani, Mohammad and Santamaria, Ignacio and Jorswieck, Eduard and Rezvani, Sepehr}},
issn = {{1053-587X}},
journal = {{IEEE Transactions on Signal Processing}},
keywords = {{Electrical and Electronic Engineering, Signal Processing}},
pages = {{963--978}},
publisher = {{Institute of Electrical and Electronics Engineers (IEEE)}},
title = {{{NOMA-Based Improper Signaling for Multicell MISO RIS-Assisted Broadcast Channels}}},
doi = {{10.1109/tsp.2023.3259145}},
volume = {{71}},
year = {{2023}},
}
@article{53263,
author = {{Soleymani, Mohammad and Santamaria, Ignacio and Jorswieck, Eduard A.}},
issn = {{2169-3536}},
journal = {{IEEE Access}},
keywords = {{General Engineering, General Materials Science, General Computer Science, Electrical and Electronic Engineering}},
pages = {{70833--70852}},
publisher = {{Institute of Electrical and Electronics Engineers (IEEE)}},
title = {{{Spectral and Energy Efficiency Maximization of MISO STAR-RIS-Assisted URLLC Systems}}},
doi = {{10.1109/access.2023.3294092}},
volume = {{11}},
year = {{2023}},
}
@inproceedings{53264,
author = {{Santamaria, Ignacio and Soleymani, Mohammad and Jorswieck, Eduard and Gutiérrez, Jesús}},
booktitle = {{ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)}},
publisher = {{IEEE}},
title = {{{Interference Leakage Minimization in RIS-Assisted MIMO Interference Channels}}},
doi = {{10.1109/icassp49357.2023.10094656}},
year = {{2023}},
}
@article{53301,
author = {{Vieluf, Solveig and Hasija, Tanuj and Kuschel, Maurice and Reinsberger, Claus and Loddenkemper, Tobias}},
issn = {{0957-4174}},
journal = {{Expert Systems with Applications}},
keywords = {{Artificial Intelligence, Computer Science Applications, General Engineering}},
publisher = {{Elsevier BV}},
title = {{{Developing a deep canonical correlation-based technique for seizure prediction}}},
doi = {{10.1016/j.eswa.2023.120986}},
volume = {{234}},
year = {{2023}},
}
@inproceedings{53303,
author = {{Kuschel, Maurice and Marrinan, Timothy and Hasija, Tanuj}},
booktitle = {{2023 IEEE 33rd International Workshop on Machine Learning for Signal Processing (MLSP)}},
publisher = {{IEEE}},
title = {{{Geodesic-Based Relaxation For Deep Canonical Correlation Analysis}}},
doi = {{10.1109/mlsp55844.2023.10285937}},
year = {{2023}},
}
@inproceedings{53310,
author = {{Gedlu, Emebet Gebeyehu and Wallscheid, Oliver and Böcker, Joachim and Nelles, Oliver}},
booktitle = {{2023 IEEE 14th International Symposium on Diagnostics for Electrical Machines, Power Electronics and Drives (SDEMPED)}},
publisher = {{IEEE}},
title = {{{Online system identification and excitation for thermal monitoring of electric machines using machine learning and model predictive control}}},
doi = {{10.1109/sdemped54949.2023.10271427}},
year = {{2023}},
}
@article{53317,
author = {{Tao, Youshan and Winkler, Michael}},
issn = {{2163-2480}},
journal = {{Evolution Equations and Control Theory}},
keywords = {{Applied Mathematics, Control and Optimization, Modeling and Simulation}},
number = {{6}},
pages = {{1676--1687}},
publisher = {{American Institute of Mathematical Sciences (AIMS)}},
title = {{{Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities}}},
doi = {{10.3934/eect.2023031}},
volume = {{12}},
year = {{2023}},
}
@article{53320,
author = {{Winkler, Michael}},
issn = {{0294-1449}},
journal = {{Annales de l'Institut Henri Poincaré C, Analyse non linéaire}},
keywords = {{Mathematical Physics, Analysis, Applied Mathematics}},
publisher = {{European Mathematical Society - EMS - Publishing House GmbH}},
title = {{{A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion}}},
doi = {{10.4171/aihpc/73}},
year = {{2023}},
}
@article{53318,
author = {{Li, Genglin and Winkler, Michael}},
issn = {{0003-6811}},
journal = {{Applicable Analysis}},
keywords = {{Applied Mathematics, Analysis}},
number = {{1}},
pages = {{45--64}},
publisher = {{Informa UK Limited}},
title = {{{Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities}}},
doi = {{10.1080/00036811.2023.2173183}},
volume = {{103}},
year = {{2023}},
}
@article{53328,
abstract = {{ As a simplified version of a three-component taxis cascade model accounting for different migration strategies of two population groups in search of food, a two-component nonlocal nutrient taxis system is considered in a two-dimensional bounded convex domain with smooth boundary. For any given conveniently regular and biologically meaningful initial data, smallness conditions on the prescribed resource growth and on the initial nutrient signal concentration are identified which ensure the global existence of a global classical solution to the corresponding no-flux initial-boundary value problem. Moreover, under additional assumptions on the food production source these solutions are shown to be bounded, and to stabilize toward semi-trivial equilibria in the large time limit, respectively. }},
author = {{Tao, Youshan and Winkler, Michael}},
issn = {{0218-2025}},
journal = {{Mathematical Models and Methods in Applied Sciences}},
keywords = {{Applied Mathematics, Modeling and Simulation}},
number = {{01}},
pages = {{103--138}},
publisher = {{World Scientific Pub Co Pte Ltd}},
title = {{{Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers}}},
doi = {{10.1142/s0218202523500045}},
volume = {{33}},
year = {{2023}},
}
@article{53324,
author = {{Ahn, Jaewook and Winkler, Michael}},
issn = {{0944-2669}},
journal = {{Calculus of Variations and Partial Differential Equations}},
keywords = {{Applied Mathematics, Analysis}},
number = {{6}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system}}},
doi = {{10.1007/s00526-023-02523-5}},
volume = {{62}},
year = {{2023}},
}
@article{53329,
author = {{Tao, Youshan and Winkler, Michael}},
issn = {{1468-1218}},
journal = {{Nonlinear Analysis: Real World Applications}},
keywords = {{Applied Mathematics, Computational Mathematics, General Economics, Econometrics and Finance, General Engineering, General Medicine, Analysis}},
publisher = {{Elsevier BV}},
title = {{{Analysis of a chemotaxis-SIS epidemic model with unbounded infection force}}},
doi = {{10.1016/j.nonrwa.2022.103820}},
volume = {{71}},
year = {{2023}},
}
@article{53326,
author = {{Li, Genglin and Winkler, Michael}},
issn = {{1539-6746}},
journal = {{Communications in Mathematical Sciences}},
keywords = {{Applied Mathematics, General Mathematics}},
number = {{2}},
pages = {{299--322}},
publisher = {{International Press of Boston}},
title = {{{Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities}}},
doi = {{10.4310/cms.2023.v21.n2.a1}},
volume = {{21}},
year = {{2023}},
}
@article{53343,
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}},
keywords = {{General 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{53345,
abstract = {{AbstractA no-flux initial-boundary value problem forut=Δ(uϕ(v)),vt=Δv−uv,(⋆)is considered in smoothly bounded subdomains ofRnwithn⩾1and suitably regular initial data, whereφis assumed to reflect algebraic type cross-degeneracies by sharing essential features with0⩽ξ↦ξαfor someα⩾1. Based on the discovery of a gradient structure acting at regularity levels mild enough to be consistent with degeneracy-driven limitations of smoothness information, in this general setting it is shown that with some measurable limit profileu∞and some null setN⋆⊂(0,∞), a corresponding global generalized solution, known to exist according to recent literature, satisfiesρ(u(⋅,t))⇀⋆ρ(u∞)in L∞(Ω) and v(⋅,t)→0in Lp(Ω)for all p⩾1as(0,∞)∖N⋆∋t→∞, whereρ(ξ):=ξ2(ξ+1)2,ξ⩾0. In the particular case when eithern⩽2andα⩾1is arbitrary, orn⩾1andα∈[1,2], additional quantitative information on the deviation of trajectories from the initial data is derived. This is found to imply a lower estimate for the spatial oscillation of the respective first components throughout evolution, and moreover this is seen to entail that each of the uncountably many steady states(u⋆,0)of (⋆) is stable with respect to a suitably chosen norm topology.}},
author = {{Winkler, Michael}},
issn = {{0951-7715}},
journal = {{Nonlinearity}},
keywords = {{Applied Mathematics, General Physics and Astronomy, Mathematical Physics, Statistical and Nonlinear Physics}},
number = {{8}},
pages = {{4438--4469}},
publisher = {{IOP Publishing}},
title = {{{Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction}}},
doi = {{10.1088/1361-6544/ace22e}},
volume = {{36}},
year = {{2023}},
}
@article{53341,
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}},
keywords = {{Applied Mathematics, Numerical Analysis, Analysis}},
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{53339,
abstract = {{The chemotaxis‐Stokes system
is considered along with homogeneous boundary conditions of no‐flux type for
and
, and of Dirichlet type for
, in a smoothly bounded domain
. Under the assumption that
, that
is bounded on each of the intervals
with arbitrary
, and that with some
and
, we have
It is shown that for any suitably regular initial data, an associated initial‐boundary value problem admits a global very weak solution.}},
author = {{Tian, Yu and Winkler, Michael}},
issn = {{0170-4214}},
journal = {{Mathematical Methods in the Applied Sciences}},
keywords = {{General Engineering, General Mathematics}},
number = {{14}},
pages = {{15667--15683}},
publisher = {{Wiley}},
title = {{{Keller–Segel–Stokes interaction involving signal‐dependent motilities}}},
doi = {{10.1002/mma.9419}},
volume = {{46}},
year = {{2023}},
}
@article{53340,
author = {{Painter, Kevin J. and Winkler, Michael}},
issn = {{0036-1399}},
journal = {{SIAM Journal on Applied Mathematics}},
keywords = {{Applied Mathematics}},
number = {{5}},
pages = {{2096--2117}},
publisher = {{Society for Industrial & Applied Mathematics (SIAM)}},
title = {{{Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities}}},
doi = {{10.1137/22m1539393}},
volume = {{83}},
year = {{2023}},
}
@article{53342,
author = {{Winkler, Michael and Yokota, Tomomi}},
issn = {{0022-0396}},
journal = {{Journal of Differential Equations}},
keywords = {{Analysis, Applied Mathematics}},
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}},
}