@article{46264,
  abstract     = {{System-level interconnects provide the
backbone for increasingly complex systems on a chip. Their
vulnerability to electromigration and crosstalk can lead to
serious reliability and safety issues during the system lifetime.
This article presents an approach for periodic in-system testing
which maintains a reliability profile to detect potential
problems before they actually cause a failure. Relying on a
common infrastructure for EM-aware system workload
management and test, it minimizes the stress induced by the
test itself and contributes to the self-healing of system-induced
electromigration degradations. }},
  author       = {{Sadeghi-Kohan, Somayeh and Hellebrand, Sybille and Wunderlich, Hans-Joachim}},
  issn         = {{2168-2356}},
  journal      = {{IEEE Design &Test}},
  keywords     = {{Electrical and Electronic Engineering, Hardware and Architecture, Software}},
  pages        = {{1--1}},
  publisher    = {{Institute of Electrical and Electronics Engineers (IEEE)}},
  title        = {{{Workload-Aware Periodic Interconnect BIST}}},
  doi          = {{10.1109/mdat.2023.3298849}},
  year         = {{2023}},
}

@article{52802,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>Currently, the fused deposition modeling (FDM) process is the most common additive manufacturing technology. The principle of the FDM process is the strand wise deposition of molten thermoplastic polymers, by feeding a filament trough a heated nozzle. Due to the strand and layer wise deposition the cooling of the manufactured component is not uniform. This leads to dimensional deviations which may cause the component to be unusable for the desired application. In this paper, a method is described which is based on the shrinkage compensation through the adaption of every single raster line in components manufactured with the FDM process. The shrinkage compensation is based on a model resulting from a DOE which considers the main influencing factors on the shrinkage behavior of raster lines in the FDM process. An in‐house developed software analyzes the component and locally applies the shrinkage compensation with consideration of the boundary conditions, e.g., the position of the raster line in the component and the process parameters. Following, a validation using a simple geometry is conducted to show the effect of the presented adaptive scaling method.</jats:p>}},
  author       = {{Moritzer, Elmar and Hecker, Felix}},
  issn         = {{1022-1360}},
  journal      = {{Macromolecular Symposia}},
  keywords     = {{Materials Chemistry, Polymers and Plastics, Organic Chemistry, Condensed Matter Physics}},
  number       = {{1}},
  publisher    = {{Wiley}},
  title        = {{{Adaptive Scaling of Components in the Fused Deposition Modeling Process}}},
  doi          = {{10.1002/masy.202200181}},
  volume       = {{411}},
  year         = {{2023}},
}

@inproceedings{52839,
  author       = {{Gräßler, Iris and Hieb, Michael and Roesmann, Daniel and Unverzagt, Marc and Pottebaum, Jens}},
  booktitle    = {{SSRN Electronic Journal}},
  issn         = {{1556-5068}},
  keywords     = {{General Earth and Planetary Sciences, General Environmental Science}},
  publisher    = {{Elsevier BV}},
  title        = {{{Virtual learning environment for teaching the handling of collaborative robots}}},
  doi          = {{10.2139/ssrn.4471596}},
  year         = {{2023}},
}

@inproceedings{52816,
  abstract     = {{Manufacturing companies face the challenge of reaching required quality standards. Using
optical sensors and deep learning might help. However, training deep learning algorithms
require large amounts of visual training data. Using domain randomization to generate synthetic
image data can alleviate this bottleneck. This paper presents the application of synthetic
image training data for optical quality inspections using visual sensor technology. The results
show synthetically generated training data are appropriate for visual quality inspections.}},
  author       = {{Gräßler, Iris and Hieb, Michael}},
  booktitle    = {{Lectures}},
  keywords     = {{synthetic training data, machine vision quality gates, deep learning, automated inspection and quality control, production control}},
  location     = {{Nuremberg}},
  pages        = {{253--524}},
  publisher    = {{AMA Service GmbH, Von-Münchhausen-Str. 49, 31515 Wunstorf, Germany}},
  title        = {{{Creating Synthetic Training Datasets for Inspection in Machine Vision Quality Gates in Manufacturing}}},
  doi          = {{10.5162/smsi2023/d7.4}},
  year         = {{2023}},
}

@article{53078,
  abstract     = {{In spray-flame synthesis of nanoparticles, a precise understanding of the reaction processes is necessary to find optimal process parameters for the formation of the desired products. Coupling the chemistries of flame, solvent, and gas-phase species initially formed from the particle precursor in combination with the complex flow geometry of the spray flame means a special challenge for the modeling of the reaction processes. A new burner has been developed that is capable to observe the reaction of precursor solutions frequently used in spray-flame synthesis. The burner provides an almost flat, laminar, and steady flame with homogeneous addition of a fine aerosol and thus enables detailed investigation and modeling of the coupled reactions inde-pendent of spray formation and turbulent mixing. With its two separate supply channel matrices, the burner also enables the use of reactants that would otherwise react with each other already before reaching the flame. These features enable the investigation of a wide range of flame-based synthesis methods for nanoparticles and, due to the flat-flame geometry, kinetics models for these processes can be developed and validated. This work describes the matrix burner development and its gas flow optimization by simulation. Droplet-size dis-tributions generated by ultrasonic nebulization and their interaction with the burner structure are investigated by phase-Doppler anemometry. As an example for nanoparticle-for ming flames from solutions, iron-oxide nanoparticle-generating flames using iron(III) nitrate nonahydrate dissolved in 1-butanol were investigated. This effort includes measurements of two-dimensional maps of the flame temperature by a thermocouple and height-dependent concentration profiles of the main species by time-of-flight mass spectrometry. Exper-imental data are compared with 1D simulations using a reduced reaction mechanism. The results show that the new burner is well suited for the development of reaction models for precursors supplied in the liquid phase usually applied in spray-flame synthesis configurations.& COPY; 2022 The Combustion Institute. Published by Elsevier Inc. All rights reserved.}},
  author       = {{Apazeller, Sascha and Gonchikzhapov, Munko and Nanjaiah, Monika and Kasper, Tina and Wlokas, Irenäus and Wiggers, Hartmut and Schulz, Christof}},
  issn         = {{1540-7489}},
  journal      = {{Proceedings of the Combustion Institute}},
  keywords     = {{Physical and Theoretical Chemistry, Mechanical Engineering, General Chemical Engineering}},
  number       = {{1}},
  pages        = {{909--918}},
  publisher    = {{Elsevier BV}},
  title        = {{{A new dual matrix burner for one-dimensional investigation of aerosol flames}}},
  doi          = {{10.1016/j.proci.2022.07.166}},
  volume       = {{39}},
  year         = {{2023}},
}

@article{36812,
  author       = {{Apazeller, Sascha and Gonchikzhapov, Munko and Nanjaiah, Monika and Kasper, Tina and Wlokas, Irenäus and Wiggers, Hartmut and Schulz, Christof}},
  issn         = {{1540-7489}},
  journal      = {{Proceedings of the Combustion Institute}},
  keywords     = {{Physical and Theoretical Chemistry, Mechanical Engineering, General Chemical Engineering}},
  publisher    = {{Elsevier BV}},
  title        = {{{A new dual matrix burner for one-dimensional investigation of aerosol flames}}},
  doi          = {{10.1016/j.proci.2022.07.166}},
  year         = {{2023}},
}

@article{53074,
  author       = {{Kasper, Tina and Hansen, Nils}},
  issn         = {{0010-2180}},
  journal      = {{Combustion and Flame}},
  keywords     = {{General Physics and Astronomy, Energy Engineering and Power Technology, Fuel Technology, General Chemical Engineering, General Chemistry}},
  publisher    = {{Elsevier BV}},
  title        = {{{Resonance enhanced multiphoton ionization detection of aromatics formation in fuel-rich flames}}},
  doi          = {{10.1016/j.combustflame.2023.112820}},
  volume       = {{257}},
  year         = {{2023}},
}

@article{44215,
  abstract     = {{In der zukünftigen Produktion werden der Aufbau und die Entwicklung der Fähigkeiten der Mitarbeiter:innen ein entscheidender Wettbewerbsvorteil von Unternehmen. In menschenzentrierten Montagesystemen passen sich die Mitarbeiter:innen auf der Grundlage von Lernprozessen an neue und sich ändernde Aufgaben an. Dazu muss der Bezug zu den Fähigkeiten der Mitarbeiter:innen im Zuge der integrierten Produkt-und Prozessentwicklung vorgesehen werden. Daher wurde eine Methodik entwickelt, die diese Fähigkeiten explizit abbildet und sie sowohl in der Entwicklung als auch in der kurzfristigen Personaleinsatzplanung bei der Aufgabenzuordnung berücksichtigt. Zur Anwendung wurde die Methodik prototypisch in einem Software-Werkzeug umgesetzt und in Kombination mit einer diskreten ereignisorientierten Simulation erprobt.}},
  author       = {{Gräßler, Iris and Roesmann, Daniel and Pottebaum, Jens}},
  issn         = {{2511-0896}},
  journal      = {{Zeitschrift für wirtschaftlichen Fabrikbetrieb}},
  keywords     = {{Management Science and Operations Research, Strategy and Management, General Engineering}},
  number       = {{3}},
  pages        = {{149--152}},
  publisher    = {{Walter de Gruyter GmbH}},
  title        = {{{Human Factors in der integrierten Produktentwicklung}}},
  doi          = {{10.1515/zwf-2023-1029}},
  volume       = {{118}},
  year         = {{2023}},
}

@article{53148,
  author       = {{Krause, Ina and Jacobsen, Heike and Gerhards, Christian}},
  issn         = {{2365-984X}},
  journal      = {{Arbeit}},
  keywords     = {{Industrial and Manufacturing Engineering}},
  number       = {{2}},
  pages        = {{105--110}},
  publisher    = {{Walter de Gruyter GmbH}},
  title        = {{{Editorial: Remote @ Distance}}},
  doi          = {{10.1515/arbeit-2023-0007}},
  volume       = {{32}},
  year         = {{2023}},
}

@article{53170,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>Coating medical implants with antibacterial polymers may prevent postoperative infections which are a common issue for conventional titanium implants and can even lead to implant failure. Easily applicable diblock copolymers are presented that form polymer brushes via “grafting to” mechanism on titanium and equip the modified material with antibacterial properties. The polymers carry quaternized pyridinium units to combat bacteria and phosphonic acid groups which allow the linear chains to be anchored to metal surfaces in a convenient coating process. The polymers are synthesized via reversible‐addition‐fragmentation‐chain‐transfer (RAFT) polymerization and postmodifications and are characterized using NMR spectroscopy and SEC. Low grafting densities are a major drawback of the “grafting to” approach compared to “grafting from”. Thus, the number of phosphonic acid groups in the anchor block are varied to investigate and optimize the surface binding. Modified titanium surfaces are examined regarding their composition, wetting behavior, streaming potential, and coating stability. Evaluation of the antimicrobial properties revealed reduced bacterial adhesion and biofilm formation for certain polymers, albeit the cell biocompatibility against human gingival fibroblasts is also impaired. The presented findings show the potential of easy‐to‐apply polymer coatings and aid in designing next‐generation implant surface modifications.</jats:p>}},
  author       = {{Methling, Rafael and Dückmann, Oliver and Simon, Frank and Wolf‐Brandstetter, Cornelia and Kuckling, Dirk}},
  issn         = {{1438-7492}},
  journal      = {{Macromolecular Materials and Engineering}},
  keywords     = {{Materials Chemistry, Polymers and Plastics, Organic Chemistry, General Chemical Engineering}},
  number       = {{8}},
  publisher    = {{Wiley}},
  title        = {{{Antimicrobial Brushes on Titanium via “Grafting to” Using Phosphonic Acid/Pyridinium Containing Block Copolymers}}},
  doi          = {{10.1002/mame.202200665}},
  volume       = {{308}},
  year         = {{2023}},
}

@article{53171,
  abstract     = {{<jats:title>Zusammenfassung</jats:title>
               <jats:p>Der Beitrag beschäftigt sich mit dem Konzept Coworking und arbeitet auf Basis eigener empirischer Daten heraus, wie dieses Konzept im Zuge seiner wachsenden Verbreitung und der Etablierung von Coworking-Spaces als ‚dritten Orten der Arbeit‘ Legitimität für neue Gestaltungsideen und Wertvorstellungen von Büroarbeit generiert. Coworking-Spaces werden dabei als ‚dritte Orte‘ definiert, die dem Raumkonzept der Schaffung einer flexibel anpassbaren und Kreativität fördernden Arbeitsumgebung für Büroarbeiter:innen folgen. Das Geschäftskonzept Coworking-Space wird inzwischen aber auch als alternatives Organisationsmodell von Arbeit wahrgenommen. Dem Beitrag liegt das Forschungsinteresse zugrunde zu erkunden, wie und in welchen Variationen das Konzept Coworking in Büroarbeitsorganisationen, die sich selbst als Coworking-Space bezeichnen, adaptiert und praktisch umgesetzt wird. Nachgezeichnet wird, inwiefern Coworking als alternatives Gestaltungsmodell oder, im Sinne von Meyer und Rowan, Rationalisierungskonzept der Organisation von Arbeit Elemente eines neuen Normalitätsverständnisses von Büroarbeit generiert, welches über Betreiber:innen von Coworking-Spaces und Coworker:innen inzwischen in die Breite der Arbeitsgesellschaft getragen wird.</jats:p>}},
  author       = {{Krause, Ina}},
  issn         = {{2365-984X}},
  journal      = {{Arbeit}},
  keywords     = {{Industrial and Manufacturing Engineering}},
  number       = {{2}},
  pages        = {{217--236}},
  publisher    = {{Walter de Gruyter GmbH}},
  title        = {{{Coworking}}},
  doi          = {{10.1515/arbeit-2023-0013}},
  volume       = {{32}},
  year         = {{2023}},
}

@article{53145,
  author       = {{Krause, Ina and Jacobsen, Heike and Gerhards, Christian}},
  issn         = {{2365-984X}},
  journal      = {{Arbeit}},
  keywords     = {{Industrial and Manufacturing Engineering}},
  number       = {{2}},
  pages        = {{i--ii}},
  publisher    = {{Walter de Gruyter GmbH}},
  title        = {{{Frontmatter}}},
  doi          = {{10.1515/arbeit-2023-frontmatter26}},
  volume       = {{32}},
  year         = {{2023}},
}

@article{53262,
  author       = {{Santamaria, Ignacio and Soleymani, Mohammad and Jorswieck, Eduard and Gutiérrez, Jesús}},
  issn         = {{1070-9908}},
  journal      = {{IEEE Signal Processing Letters}},
  keywords     = {{Applied Mathematics, Electrical and Electronic Engineering, Signal Processing}},
  pages        = {{923--926}},
  publisher    = {{Institute of Electrical and Electronics Engineers (IEEE)}},
  title        = {{{SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links}}},
  doi          = {{10.1109/lsp.2023.3296902}},
  volume       = {{30}},
  year         = {{2023}},
}

@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}},
}

@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{53328,
  abstract     = {{<jats:p> 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. </jats:p>}},
  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{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{53345,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>A no-flux initial-boundary value problem for<jats:disp-formula id="nonace22eueqn1"><jats:tex-math><?CDATA \begin{align*} \begin{cases} u_t = \Delta \big(u\phi(v)\big), \\[1mm] v_t = \Delta v-uv, \end{cases} \qquad \qquad (\star) \end{align*}?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="block" overflow="scroll"><mml:mtable columnalign="right left right left right left right left right left right left" columnspacing="0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em" rowspacing="3pt"><mml:mtr><mml:mtd><mml:mfenced close="" open="{"><mml:mtable columnalign="left left" columnspacing="1em" rowspacing=".1em"><mml:mtr><mml:mtd><mml:msub><mml:mi>u</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mo maxsize="1.2em" minsize="1.2em">(</mml:mo></mml:mrow><mml:mi>u</mml:mi><mml:mi>ϕ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>v</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mrow><mml:mo maxsize="1.2em" minsize="1.2em">)</mml:mo></mml:mrow><mml:mo>,</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:msub><mml:mi>v</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>v</mml:mi><mml:mo>−</mml:mo><mml:mi>u</mml:mi><mml:mi>v</mml:mi><mml:mo>,</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><mml:mo stretchy="false">(</mml:mo><mml:mo>⋆</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:math><jats:graphic xmlns:xlink="http://www.w3.org/1999/xlink" orientation="portrait" position="float" xlink:href="nonace22eueqn1.gif" xlink:type="simple" /></jats:disp-formula>is considered in smoothly bounded subdomains of<jats:inline-formula><jats:tex-math><?CDATA $\mathbb{R}^n$?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mi>n</mml:mi></mml:msup></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn1.gif" xlink:type="simple" /></jats:inline-formula>with<jats:inline-formula><jats:tex-math><?CDATA $n\geqslant 1$?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>n</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn2.gif" xlink:type="simple" /></jats:inline-formula>and suitably regular initial data, where<jats:italic>φ</jats:italic>is assumed to reflect algebraic type cross-degeneracies by sharing essential features with<jats:inline-formula><jats:tex-math><?CDATA $0\leqslant \xi\mapsto \xi^\alpha$?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mn>0</mml:mn><mml:mo>⩽</mml:mo><mml:mi>ξ</mml:mi><mml:mo stretchy="false">↦</mml:mo><mml:msup><mml:mi>ξ</mml:mi><mml:mi>α</mml:mi></mml:msup></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn3.gif" xlink:type="simple" /></jats:inline-formula>for some<jats:inline-formula><jats:tex-math><?CDATA $\alpha\geqslant 1$?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>α</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn4.gif" xlink:type="simple" /></jats:inline-formula>. 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 profile<jats:inline-formula><jats:tex-math><?CDATA $u_\infty$?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msub></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn5.gif" xlink:type="simple" /></jats:inline-formula>and some null set<jats:inline-formula><jats:tex-math><?CDATA $N_\star\subset (0,\infty)$?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msub><mml:mi>N</mml:mi><mml:mo>⋆</mml:mo></mml:msub><mml:mo>⊂</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">∞</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn6.gif" xlink:type="simple" /></jats:inline-formula>, a corresponding global generalized solution, known to exist according to recent literature, satisfies<jats:disp-formula id="nonace22eueqn2"><jats:tex-math><?CDATA \begin{align*} \rho(u(\cdot,t))\stackrel{\star}{\rightharpoonup} \rho(u_\infty) \quad \textrm{in } L^\infty(\Omega) \quad\;\; \textrm{ and } \quad\;\; v(\cdot,t)\to 0 \quad \textrm{in } L^p(\Omega)\; \textrm{for all } p\geqslant 1 \end{align*}?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="block" overflow="scroll"><mml:mtable columnalign="right left right left right left right left right left right left" columnspacing="0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em" rowspacing="3pt"><mml:mtr><mml:mtd><mml:mi>ρ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>u</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mo>⋅</mml:mo><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo><mml:mrow><mml:mover><mml:mrow><mml:mo stretchy="false">⇀</mml:mo></mml:mrow><mml:mrow><mml:mo>⋆</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mi>ρ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mrow><mml:mtext>in </mml:mtext></mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="normal">Ω</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mrow><mml:mtext> and </mml:mtext></mml:mrow><mml:mi>v</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mo>⋅</mml:mo><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">→</mml:mo><mml:mn>0</mml:mn><mml:mrow><mml:mtext>in </mml:mtext></mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="normal">Ω</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mrow><mml:mtext>for all </mml:mtext></mml:mrow><mml:mi>p</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math><jats:graphic xmlns:xlink="http://www.w3.org/1999/xlink" orientation="portrait" position="float" xlink:href="nonace22eueqn2.gif" xlink:type="simple" /></jats:disp-formula>as<jats:inline-formula><jats:tex-math><?CDATA $(0,\infty)\setminus N_\star \ni t\to \infty$?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">∞</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>∖</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mo>⋆</mml:mo></mml:msub><mml:mo>∋</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mi mathvariant="normal">∞</mml:mi></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn7.gif" xlink:type="simple" /></jats:inline-formula>, where<jats:inline-formula><jats:tex-math><?CDATA $\rho(\xi): = \frac{\xi^2}{(\xi+1)^2}$?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>ρ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>ξ</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>:=</mml:mo><mml:mfrac><mml:msup><mml:mi>ξ</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>ξ</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mrow><mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:mfrac></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn8.gif" xlink:type="simple" /></jats:inline-formula>,<jats:inline-formula><jats:tex-math><?CDATA $\xi\geqslant 0$?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>ξ</mml:mi><mml:mo>⩾</mml:mo><mml:mn>0</mml:mn></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn9.gif" xlink:type="simple" /></jats:inline-formula>. In the particular case when either<jats:inline-formula><jats:tex-math><?CDATA $n\leqslant 2$?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>n</mml:mi><mml:mo>⩽</mml:mo><mml:mn>2</mml:mn></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn10.gif" xlink:type="simple" /></jats:inline-formula>and<jats:inline-formula><jats:tex-math><?CDATA $\alpha\geqslant 1$?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>α</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn11.gif" xlink:type="simple" /></jats:inline-formula>is arbitrary, or<jats:inline-formula><jats:tex-math><?CDATA $n\geqslant 1$?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>n</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn12.gif" xlink:type="simple" /></jats:inline-formula>and<jats:inline-formula><jats:tex-math><?CDATA $\alpha\in [1,2]$?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>α</mml:mi><mml:mo>∈</mml:mo><mml:mo stretchy="false">[</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">]</mml:mo></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn13.gif" xlink:type="simple" /></jats:inline-formula>, 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<jats:inline-formula><jats:tex-math><?CDATA $(u_\star,0)$?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>⋆</mml:mo></mml:msub><mml:mo>,</mml:mo><mml:mn>0</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn14.gif" xlink:type="simple" /></jats:inline-formula>of (<jats:inline-formula><jats:tex-math><?CDATA $\star$?></jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mo>⋆</mml:mo></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn15.gif" xlink:type="simple" /></jats:inline-formula>) is stable with respect to a suitably chosen norm topology.</jats:p>}},
  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}},
}