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Sloane (Eds.), ZBW-Beiheft: Betriebliche Berufsbildungsforschung, 2022.","bibtex":"@inbook{Krause_2022, title={Distanzarbeit als Impulsgeber beruflicher Weiterbildung. Zur Bedeutung von neuen Schlüsselkompetenzen und Weiterbildung im Strukturwandels von Büroarbeitswelten in und nach der Corona-Pandemie}, booktitle={ZBW-Beiheft: Betriebliche Berufsbildungsforschung}, author={Krause, Ina}, editor={Bellmann, Lutz and Ertl, Hubert and Gerhards, Christian and Sloane, Peter}, year={2022} }","apa":"Krause, I. (2022). Distanzarbeit als Impulsgeber beruflicher Weiterbildung. Zur Bedeutung von neuen Schlüsselkompetenzen und Weiterbildung im Strukturwandels von Büroarbeitswelten in und nach der Corona-Pandemie. In L. Bellmann, H. Ertl, C. Gerhards, & P. Sloane (Eds.), ZBW-Beiheft: Betriebliche Berufsbildungsforschung.","ama":"Krause I. Distanzarbeit als Impulsgeber beruflicher Weiterbildung. Zur Bedeutung von neuen Schlüsselkompetenzen und Weiterbildung im Strukturwandels von Büroarbeitswelten in und nach der Corona-Pandemie. In: Bellmann L, Ertl H, Gerhards C, Sloane P, eds. ZBW-Beiheft: Betriebliche Berufsbildungsforschung. ; 2022.","ieee":"I. Krause, “Distanzarbeit als Impulsgeber beruflicher Weiterbildung. Zur Bedeutung von neuen Schlüsselkompetenzen und Weiterbildung im Strukturwandels von Büroarbeitswelten in und nach der Corona-Pandemie,” in ZBW-Beiheft: Betriebliche Berufsbildungsforschung, L. Bellmann, H. Ertl, C. Gerhards, and P. Sloane, Eds. 2022.","chicago":"Krause, Ina. “Distanzarbeit Als Impulsgeber Beruflicher Weiterbildung. Zur Bedeutung von Neuen Schlüsselkompetenzen Und Weiterbildung Im Strukturwandels von Büroarbeitswelten in Und Nach Der Corona-Pandemie.” In ZBW-Beiheft: Betriebliche Berufsbildungsforschung, edited by Lutz Bellmann, Hubert Ertl, Christian Gerhards, and Peter Sloane, 2022."},"status":"public","year":"2022","editor":[{"first_name":"Lutz ","full_name":"Bellmann, Lutz ","last_name":"Bellmann"},{"full_name":"Ertl, Hubert","last_name":"Ertl","first_name":"Hubert"},{"first_name":"Christian","full_name":"Gerhards, Christian","last_name":"Gerhards"},{"full_name":"Sloane, Peter","last_name":"Sloane","first_name":"Peter"}]},{"place":"Cham","year":"2022","citation":{"short":"N.J. KOUAGOU, S. Heindorf, C. Demir, A.-C. Ngonga Ngomo, in: The Semantic Web, Springer International Publishing, Cham, 2022.","bibtex":"@inbook{KOUAGOU_Heindorf_Demir_Ngonga Ngomo_2022, place={Cham}, title={Learning Concept Lengths Accelerates Concept Learning in ALC}, DOI={10.1007/978-3-031-06981-9_14}, booktitle={The Semantic Web}, publisher={Springer International Publishing}, author={KOUAGOU, N’Dah Jean and Heindorf, Stefan and Demir, Caglar and Ngonga Ngomo, Axel-Cyrille}, year={2022} }","mla":"KOUAGOU, N’Dah Jean, et al. “Learning Concept Lengths Accelerates Concept Learning in ALC.” The Semantic Web, Springer International Publishing, 2022, doi:10.1007/978-3-031-06981-9_14.","apa":"KOUAGOU, N. J., Heindorf, S., Demir, C., & Ngonga Ngomo, A.-C. (2022). Learning Concept Lengths Accelerates Concept Learning in ALC. In The Semantic Web. Springer International Publishing. https://doi.org/10.1007/978-3-031-06981-9_14","ama":"KOUAGOU NJ, Heindorf S, Demir C, Ngonga Ngomo A-C. 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Ngonga Ngomo, “Learning Concept Lengths Accelerates Concept Learning in ALC,” in The Semantic Web, Cham: Springer International Publishing, 2022."},"publication_identifier":{"isbn":["9783031069802","9783031069819"],"issn":["0302-9743","1611-3349"]},"publication_status":"published","related_material":{"link":[{"url":"https://link.springer.com/chapter/10.1007/978-3-031-06981-9_14","relation":"confirmation"}]},"title":"Learning Concept Lengths Accelerates Concept Learning in ALC","doi":"10.1007/978-3-031-06981-9_14","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2107.04911"}],"publisher":"Springer International Publishing","date_updated":"2024-04-03T13:26:10Z","oa":"1","author":[{"first_name":"N'Dah Jean","id":"87189","full_name":"KOUAGOU, N'Dah Jean","last_name":"KOUAGOU"},{"first_name":"Stefan","full_name":"Heindorf, Stefan","id":"11871","orcid":"0000-0002-4525-6865","last_name":"Heindorf"},{"first_name":"Caglar","last_name":"Demir","full_name":"Demir, Caglar","id":"43817"},{"first_name":"Axel-Cyrille","last_name":"Ngonga Ngomo","id":"65716","full_name":"Ngonga Ngomo, Axel-Cyrille"}],"date_created":"2022-10-15T19:34:41Z","status":"public","publication":"The Semantic Web","type":"book_chapter","language":[{"iso":"eng"}],"_id":"33740","department":[{"_id":"574"},{"_id":"760"}],"user_id":"11871"},{"publication_status":"published","publication_identifier":{"issn":["0018-9545","1939-9359"]},"issue":"4","year":"2022","citation":{"chicago":"Soleymani, Mohammad, Ignacio Santamaria, and Eduard A. 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Jorswieck, IEEE Transactions on Vehicular Technology 72 (2022) 4580–4597."},"page":"4580-4597","intvolume":" 72","publisher":"Institute of Electrical and Electronics Engineers (IEEE)","date_updated":"2024-04-05T13:21:31Z","date_created":"2024-04-05T09:04:01Z","author":[{"first_name":"Mohammad","last_name":"Soleymani","full_name":"Soleymani, Mohammad"},{"last_name":"Santamaria","full_name":"Santamaria, Ignacio","first_name":"Ignacio"},{"full_name":"Jorswieck, Eduard A.","last_name":"Jorswieck","first_name":"Eduard A."}],"volume":72,"title":"Rate Splitting in MIMO RIS-Assisted Systems With Hardware Impairments and Improper Signaling","doi":"10.1109/tvt.2022.3222633","type":"journal_article","publication":"IEEE Transactions on Vehicular Technology","status":"public","_id":"53266","user_id":"67076","department":[{"_id":"263"}],"keyword":["Electrical and Electronic Engineering","Computer Networks and Communications","Aerospace Engineering","Automotive Engineering"],"language":[{"iso":"eng"}]},{"type":"journal_article","publication":"IEEE Transactions on Green Communications and Networking","status":"public","user_id":"67076","department":[{"_id":"263"}],"_id":"53267","language":[{"iso":"eng"}],"keyword":["Computer Networks and Communications","Renewable Energy","Sustainability and the Environment"],"issue":"2","publication_status":"published","publication_identifier":{"issn":["2473-2400"]},"citation":{"short":"M. 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Improper Signaling for Multicell MIMO RIS-Assisted Broadcast Channels With I/Q Imbalance. IEEE Transactions on Green Communications and Networking, 6(2), 723–738. https://doi.org/10.1109/tgcn.2021.3140150","chicago":"Soleymani, Mohammad, Ignacio Santamaria, and Peter J. Schreier. “Improper Signaling for Multicell MIMO RIS-Assisted Broadcast Channels With I/Q Imbalance.” IEEE Transactions on Green Communications and Networking 6, no. 2 (2022): 723–38. https://doi.org/10.1109/tgcn.2021.3140150.","ieee":"M. Soleymani, I. Santamaria, and P. J. Schreier, “Improper Signaling for Multicell MIMO RIS-Assisted Broadcast Channels With I/Q Imbalance,” IEEE Transactions on Green Communications and Networking, vol. 6, no. 2, pp. 723–738, 2022, doi: 10.1109/tgcn.2021.3140150.","ama":"Soleymani M, Santamaria I, Schreier PJ. Improper Signaling for Multicell MIMO RIS-Assisted Broadcast Channels With I/Q Imbalance. 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Mohammadi, F.P. Jentzsch, M. Kuschel, R. Arshad, S. Rautmare, S. Manjunatha, M. Platzner, A. Boschmann, D. Schollbach, in: Communications in Computer and Information Science, Springer International Publishing, Cham, 2022.","bibtex":"@inbook{Mohammadi_Jentzsch_Kuschel_Arshad_Rautmare_Manjunatha_Platzner_Boschmann_Schollbach_2022, place={Cham}, title={FLight: FPGA Acceleration of Lightweight DNN Model Inference in Industrial Analytics}, DOI={10.1007/978-3-030-93736-2_27}, booktitle={Communications in Computer and Information Science}, publisher={Springer International Publishing}, author={Mohammadi, Hassan Ghasemzadeh and Jentzsch, Felix Paul and Kuschel, Maurice and Arshad, Rahil and Rautmare, Sneha and Manjunatha, Suraj and Platzner, Marco and Boschmann, Alexander and Schollbach, Dirk}, year={2022} }","mla":"Mohammadi, Hassan Ghasemzadeh, et al. “FLight: FPGA Acceleration of Lightweight DNN Model Inference in Industrial Analytics.” Communications in Computer and Information Science, Springer International Publishing, 2022, doi:10.1007/978-3-030-93736-2_27.","apa":"Mohammadi, H. G., Jentzsch, F. P., Kuschel, M., Arshad, R., Rautmare, S., Manjunatha, S., Platzner, M., Boschmann, A., & Schollbach, D. (2022). FLight: FPGA Acceleration of Lightweight DNN Model Inference in Industrial Analytics. In Communications in Computer and Information Science. Springer International Publishing. https://doi.org/10.1007/978-3-030-93736-2_27","ama":"Mohammadi HG, Jentzsch FP, Kuschel M, et al. FLight: FPGA Acceleration of Lightweight DNN Model Inference in Industrial Analytics. In: Communications in Computer and Information Science. Springer International Publishing; 2022. doi:10.1007/978-3-030-93736-2_27","chicago":"Mohammadi, Hassan Ghasemzadeh, Felix Paul Jentzsch, Maurice Kuschel, Rahil Arshad, Sneha Rautmare, Suraj Manjunatha, Marco Platzner, Alexander Boschmann, and Dirk Schollbach. “FLight: FPGA Acceleration of Lightweight DNN Model Inference in Industrial Analytics.” In Communications in Computer and Information Science. Cham: Springer International Publishing, 2022. https://doi.org/10.1007/978-3-030-93736-2_27.","ieee":"H. G. Mohammadi et al., “FLight: FPGA Acceleration of Lightweight DNN Model Inference in Industrial Analytics,” in Communications in Computer and Information Science, Cham: Springer International Publishing, 2022."},"place":"Cham","year":"2022"},{"issue":"19","publication_identifier":{"issn":["1073-7928","1687-0247"]},"publication_status":"published","page":"16336-16393","intvolume":" 2023","citation":{"mla":"Winkler, Michael. “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.” International Mathematics Research Notices, vol. 2023, no. 19, Oxford University Press (OUP), 2022, pp. 16336–93, doi:10.1093/imrn/rnac286.","short":"M. Winkler, International Mathematics Research Notices 2023 (2022) 16336–16393.","bibtex":"@article{Winkler_2022, 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}, volume={2023}, DOI={10.1093/imrn/rnac286}, number={19}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Winkler, Michael}, year={2022}, pages={16336–16393} }","apa":"Winkler, M. (2022). 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. International Mathematics Research Notices, 2023(19), 16336–16393. https://doi.org/10.1093/imrn/rnac286","chicago":"Winkler, Michael. “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.” International Mathematics Research Notices 2023, no. 19 (2022): 16336–93. https://doi.org/10.1093/imrn/rnac286.","ieee":"M. Winkler, “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,” International Mathematics Research Notices, vol. 2023, no. 19, pp. 16336–16393, 2022, doi: 10.1093/imrn/rnac286.","ama":"Winkler M. 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. International Mathematics Research Notices. 2022;2023(19):16336-16393. doi:10.1093/imrn/rnac286"},"year":"2022","volume":2023,"author":[{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"date_created":"2024-04-07T12:33:44Z","date_updated":"2024-04-07T12:36:06Z","publisher":"Oxford University Press (OUP)","doi":"10.1093/imrn/rnac286","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","publication":"International Mathematics Research Notices","type":"journal_article","status":"public","abstract":[{"text":"Abstract\r\n 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 $p\\ge 2$, $\\tau&gt;0$, 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)} &lt;\\infty $ for some $\\lambda _0&gt;1$. 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 $b&gt;0$ and $\\alpha&gt;\\frac {(n+2)(n-1)}{2n}$, 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 $n=2$, $r\\in {\\mathbb {R}}$, $0&lt;D\\in C^2([0,\\infty ))$, 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 $\\mu&gt;0$ 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.","lang":"eng"}],"user_id":"31496","_id":"53319","language":[{"iso":"eng"}],"keyword":["General Mathematics"]},{"intvolume":" 25","citation":{"ama":"Winkler M. Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. Communications in Contemporary Mathematics. 2022;25(10). doi:10.1142/s0219199722500626","chicago":"Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel Systems.” Communications in Contemporary Mathematics 25, no. 10 (2022). https://doi.org/10.1142/s0219199722500626.","ieee":"M. Winkler, “Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems,” Communications in Contemporary Mathematics, vol. 25, no. 10, 2022, doi: 10.1142/s0219199722500626.","apa":"Winkler, M. (2022). Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. Communications in Contemporary Mathematics, 25(10). https://doi.org/10.1142/s0219199722500626","mla":"Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel Systems.” Communications in Contemporary Mathematics, vol. 25, no. 10, World Scientific Pub Co Pte Ltd, 2022, doi:10.1142/s0219199722500626.","short":"M. Winkler, Communications in Contemporary Mathematics 25 (2022).","bibtex":"@article{Winkler_2022, title={Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems}, volume={25}, DOI={10.1142/s0219199722500626}, number={10}, journal={Communications in Contemporary Mathematics}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }"},"year":"2022","issue":"10","publication_identifier":{"issn":["0219-1997","1793-6683"]},"publication_status":"published","doi":"10.1142/s0219199722500626","title":"Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems","volume":25,"date_created":"2024-04-07T12:35:09Z","author":[{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"publisher":"World Scientific Pub Co Pte Ltd","date_updated":"2024-04-07T12:35:53Z","status":"public","abstract":[{"lang":"eng","text":" 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] "}],"publication":"Communications in Contemporary Mathematics","type":"journal_article","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","General Mathematics"],"user_id":"31496","_id":"53321"},{"user_id":"31496","_id":"53323","language":[{"iso":"eng"}],"keyword":["Analysis"],"type":"journal_article","publication":"Journal of Dynamics and Differential Equations","status":"public","abstract":[{"text":"AbstractIn a ball $$\\Omega =B_R(0)\\subset \\mathbb {R}^n$$\r\n \r\n Ω\r\n =\r\n \r\n B\r\n R\r\n \r\n \r\n (\r\n 0\r\n )\r\n \r\n ⊂\r\n \r\n \r\n R\r\n \r\n n\r\n \r\n \r\n , $$n\\ge 2$$\r\n \r\n n\r\n ≥\r\n 2\r\n \r\n , the chemotaxis system $$\\begin{aligned} \\left\\{ \\begin{array}{l}u_t = \\nabla \\cdot \\big ( D(u) \\nabla u \\big ) - \\nabla \\cdot \\big ( uS(u)\\nabla v\\big ), \\\\ 0 = \\Delta v - \\mu + u, \\qquad \\mu =\\frac{1}{|\\Omega |} \\int _\\Omega u, \\end{array} \\right. \\qquad \\qquad (\\star ) \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n t\r\n \r\n =\r\n ∇\r\n ·\r\n \r\n (\r\n \r\n D\r\n \r\n (\r\n u\r\n )\r\n \r\n ∇\r\n u\r\n \r\n )\r\n \r\n -\r\n ∇\r\n ·\r\n \r\n (\r\n \r\n u\r\n S\r\n \r\n (\r\n u\r\n )\r\n \r\n ∇\r\n v\r\n \r\n )\r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n 0\r\n =\r\n Δ\r\n v\r\n -\r\n μ\r\n +\r\n u\r\n ,\r\n \r\n μ\r\n =\r\n \r\n 1\r\n \r\n |\r\n Ω\r\n |\r\n \r\n \r\n \r\n ∫\r\n Ω\r\n \r\n u\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n (\r\n ⋆\r\n )\r\n \r\n \r\n \r\n \r\n \r\n \r\n is considered under no-flux boundary conditions, with a focus on nonlinearities $$S\\in C^2([0,\\infty ))$$\r\n \r\n S\r\n ∈\r\n \r\n C\r\n 2\r\n \r\n \r\n (\r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n )\r\n \r\n \r\n which exhibit super-algebraically fast decay in the sense that with some $$K_S>0, \\beta \\in [0,1)$$\r\n \r\n \r\n K\r\n S\r\n \r\n >\r\n 0\r\n ,\r\n β\r\n ∈\r\n \r\n [\r\n 0\r\n ,\r\n 1\r\n )\r\n \r\n \r\n and $$\\xi _0>0$$\r\n \r\n \r\n ξ\r\n 0\r\n \r\n >\r\n 0\r\n \r\n , $$\\begin{aligned} S(\\xi )>0 \\quad \\text{ and } \\quad S'(\\xi ) \\le -K_S\\xi ^{-\\beta } S(\\xi ) \\qquad \\text{ for } \\text{ all } \\xi \\ge \\xi _0. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n S\r\n \r\n (\r\n ξ\r\n )\r\n \r\n >\r\n 0\r\n \r\n \r\n and\r\n \r\n \r\n \r\n S\r\n ′\r\n \r\n \r\n (\r\n ξ\r\n )\r\n \r\n ≤\r\n -\r\n \r\n K\r\n S\r\n \r\n \r\n ξ\r\n \r\n -\r\n β\r\n \r\n \r\n S\r\n \r\n (\r\n ξ\r\n )\r\n \r\n \r\n \r\n for\r\n \r\n \r\n all\r\n \r\n ξ\r\n ≥\r\n \r\n ξ\r\n 0\r\n \r\n .\r\n \r\n \r\n \r\n \r\n \r\n It is, inter alia, shown that if furthermore $$D\\in C^2((0,\\infty ))$$\r\n \r\n D\r\n ∈\r\n \r\n C\r\n 2\r\n \r\n \r\n (\r\n \r\n (\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n )\r\n \r\n \r\n is positive and suitably small in relation to S by satisfying $$\\begin{aligned} \\frac{\\xi S(\\xi )}{D(\\xi )} \\ge K_{SD}\\xi ^\\lambda \\qquad \\text{ for } \\text{ all } \\xi \\ge \\xi _0 \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n ξ\r\n S\r\n (\r\n ξ\r\n )\r\n \r\n \r\n D\r\n (\r\n ξ\r\n )\r\n \r\n \r\n ≥\r\n \r\n K\r\n \r\n SD\r\n \r\n \r\n \r\n ξ\r\n λ\r\n \r\n \r\n \r\n for\r\n \r\n \r\n all\r\n \r\n ξ\r\n ≥\r\n \r\n ξ\r\n 0\r\n \r\n \r\n \r\n \r\n \r\n \r\n with some $$K_{SD}>0$$\r\n \r\n \r\n K\r\n \r\n SD\r\n \r\n \r\n >\r\n 0\r\n \r\n and $$\\lambda >\\frac{2}{n}$$\r\n \r\n λ\r\n >\r\n \r\n 2\r\n n\r\n \r\n \r\n , then throughout a considerably large set of initial data, ($$\\star $$\r\n ⋆\r\n ) admits global classical solutions (u, v) fulfilling $$\\begin{aligned} \\frac{z(t)}{C} \\le \\Vert u(\\cdot ,t)\\Vert _{L^\\infty (\\Omega )} \\le Cz(t) \\qquad \\text{ for } \\text{ all } t>0, \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n z\r\n (\r\n t\r\n )\r\n \r\n C\r\n \r\n ≤\r\n \r\n \r\n ‖\r\n u\r\n \r\n (\r\n ·\r\n ,\r\n t\r\n )\r\n \r\n ‖\r\n \r\n \r\n \r\n L\r\n ∞\r\n \r\n \r\n (\r\n Ω\r\n )\r\n \r\n \r\n \r\n ≤\r\n C\r\n z\r\n \r\n (\r\n t\r\n )\r\n \r\n \r\n \r\n for\r\n \r\n \r\n all\r\n \r\n t\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n with some $$C=C^{(u,v)}\\ge 1$$\r\n \r\n C\r\n =\r\n \r\n C\r\n \r\n (\r\n u\r\n ,\r\n v\r\n )\r\n \r\n \r\n ≥\r\n 1\r\n \r\n , where z denotes the solution of $$\\begin{aligned} \\left\\{ \\begin{array}{l}z'(t) = z^2(t) \\cdot S\\big ( z(t)\\big ), \\qquad t>0, \\\\ z(0)=\\xi _0, \\end{array} \\right. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n z\r\n ′\r\n \r\n \r\n (\r\n t\r\n )\r\n \r\n =\r\n \r\n z\r\n 2\r\n \r\n \r\n (\r\n t\r\n )\r\n \r\n ·\r\n S\r\n \r\n (\r\n \r\n z\r\n \r\n (\r\n t\r\n )\r\n \r\n \r\n )\r\n \r\n ,\r\n \r\n t\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n z\r\n \r\n (\r\n 0\r\n )\r\n \r\n =\r\n \r\n ξ\r\n 0\r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n which is seen to exist globally, and to satisfy $$z(t)\\rightarrow +\\infty $$\r\n \r\n z\r\n (\r\n t\r\n )\r\n →\r\n +\r\n ∞\r\n \r\n as $$t\\rightarrow \\infty $$\r\n \r\n t\r\n →\r\n ∞\r\n \r\n . As particular examples, exponentially and doubly exponentially decaying S are found to imply corresponding infinite-time blow-up properties in ($$\\star $$\r\n ⋆\r\n ) at logarithmic and doubly logarithmic rates, respectively.","lang":"eng"}],"date_created":"2024-04-07T12:39:12Z","author":[{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler"}],"publisher":"Springer Science and Business Media LLC","date_updated":"2024-04-07T12:39:17Z","doi":"10.1007/s10884-022-10167-w","title":"Slow Grow-up in a Quasilinear Keller–Segel System","publication_status":"published","publication_identifier":{"issn":["1040-7294","1572-9222"]},"citation":{"apa":"Winkler, M. (2022). Slow Grow-up in a Quasilinear Keller–Segel System. Journal of Dynamics and Differential Equations. https://doi.org/10.1007/s10884-022-10167-w","short":"M. Winkler, Journal of Dynamics and Differential Equations (2022).","bibtex":"@article{Winkler_2022, title={Slow Grow-up in a Quasilinear Keller–Segel System}, DOI={10.1007/s10884-022-10167-w}, journal={Journal of Dynamics and Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2022} }","mla":"Winkler, Michael. “Slow Grow-up in a Quasilinear Keller–Segel System.” Journal of Dynamics and Differential Equations, Springer Science and Business Media LLC, 2022, doi:10.1007/s10884-022-10167-w.","ieee":"M. Winkler, “Slow Grow-up in a Quasilinear Keller–Segel System,” Journal of Dynamics and Differential Equations, 2022, doi: 10.1007/s10884-022-10167-w.","chicago":"Winkler, Michael. “Slow Grow-up in a Quasilinear Keller–Segel System.” Journal of Dynamics and Differential Equations, 2022. https://doi.org/10.1007/s10884-022-10167-w.","ama":"Winkler M. Slow Grow-up in a Quasilinear Keller–Segel System. Journal of Dynamics and Differential Equations. Published online 2022. doi:10.1007/s10884-022-10167-w"},"year":"2022"},{"language":[{"iso":"eng"}],"keyword":["Analysis","Applied Mathematics"],"user_id":"31496","_id":"53327","status":"public","type":"journal_article","publication":"Journal of Differential Equations","doi":"10.1016/j.jde.2022.10.022","title":"Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension","date_created":"2024-04-07T12:42:28Z","author":[{"first_name":"Youshan","full_name":"Tao, Youshan","last_name":"Tao"},{"last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael"}],"volume":343,"publisher":"Elsevier BV","date_updated":"2024-04-07T12:42:32Z","citation":{"chicago":"Tao, Youshan, and Michael Winkler. “Global Solutions to a Keller-Segel-Consumption System Involving Singularly Signal-Dependent Motilities in Domains of Arbitrary Dimension.” Journal of Differential Equations 343 (2022): 390–418. https://doi.org/10.1016/j.jde.2022.10.022.","ieee":"Y. Tao and M. Winkler, “Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension,” Journal of Differential Equations, vol. 343, pp. 390–418, 2022, doi: 10.1016/j.jde.2022.10.022.","ama":"Tao Y, Winkler M. Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. Journal of Differential Equations. 2022;343:390-418. doi:10.1016/j.jde.2022.10.022","mla":"Tao, Youshan, and Michael Winkler. “Global Solutions to a Keller-Segel-Consumption System Involving Singularly Signal-Dependent Motilities in Domains of Arbitrary Dimension.” Journal of Differential Equations, vol. 343, Elsevier BV, 2022, pp. 390–418, doi:10.1016/j.jde.2022.10.022.","bibtex":"@article{Tao_Winkler_2022, title={Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension}, volume={343}, DOI={10.1016/j.jde.2022.10.022}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={390–418} }","short":"Y. Tao, M. Winkler, Journal of Differential Equations 343 (2022) 390–418.","apa":"Tao, Y., & Winkler, M. (2022). Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. Journal of Differential Equations, 343, 390–418. https://doi.org/10.1016/j.jde.2022.10.022"},"intvolume":" 343","page":"390-418","year":"2022","publication_status":"published","publication_identifier":{"issn":["0022-0396"]}},{"title":"Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing","doi":"10.1016/j.na.2022.113153","publisher":"Elsevier BV","date_updated":"2024-04-07T12:41:20Z","volume":226,"author":[{"full_name":"Desvillettes, Laurent","last_name":"Desvillettes","first_name":"Laurent"},{"last_name":"Laurençot","full_name":"Laurençot, Philippe","first_name":"Philippe"},{"first_name":"Ariane","last_name":"Trescases","full_name":"Trescases, Ariane"},{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"date_created":"2024-04-07T12:41:15Z","year":"2022","intvolume":" 226","citation":{"ama":"Desvillettes L, Laurençot P, Trescases A, Winkler M. Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Nonlinear Analysis. 2022;226. doi:10.1016/j.na.2022.113153","chicago":"Desvillettes, Laurent, Philippe Laurençot, Ariane Trescases, and Michael Winkler. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis with Local Sensing.” Nonlinear Analysis 226 (2022). https://doi.org/10.1016/j.na.2022.113153.","ieee":"L. Desvillettes, P. Laurençot, A. Trescases, and M. Winkler, “Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing,” Nonlinear Analysis, vol. 226, Art. no. 113153, 2022, doi: 10.1016/j.na.2022.113153.","apa":"Desvillettes, L., Laurençot, P., Trescases, A., & Winkler, M. (2022). Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Nonlinear Analysis, 226, Article 113153. https://doi.org/10.1016/j.na.2022.113153","short":"L. Desvillettes, P. Laurençot, A. Trescases, M. Winkler, Nonlinear Analysis 226 (2022).","mla":"Desvillettes, Laurent, et al. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis with Local Sensing.” Nonlinear Analysis, vol. 226, 113153, Elsevier BV, 2022, doi:10.1016/j.na.2022.113153.","bibtex":"@article{Desvillettes_Laurençot_Trescases_Winkler_2022, title={Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing}, volume={226}, DOI={10.1016/j.na.2022.113153}, number={113153}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Desvillettes, Laurent and Laurençot, Philippe and Trescases, Ariane and Winkler, Michael}, year={2022} }"},"publication_identifier":{"issn":["0362-546X"]},"publication_status":"published","keyword":["Applied Mathematics","Analysis"],"article_number":"113153","language":[{"iso":"eng"}],"_id":"53325","user_id":"31496","status":"public","publication":"Nonlinear Analysis","type":"journal_article"},{"year":"2022","citation":{"ama":"Wang Y, Winkler M. Finite-time blow-up in a repulsive chemotaxis-consumption system. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2022;153(4):1150-1166. doi:10.1017/prm.2022.39","ieee":"Y. Wang and M. Winkler, “Finite-time blow-up in a repulsive chemotaxis-consumption system,” Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 153, no. 4, pp. 1150–1166, 2022, doi: 10.1017/prm.2022.39.","chicago":"Wang, Yulan, and Michael Winkler. “Finite-Time Blow-up in a Repulsive Chemotaxis-Consumption System.” Proceedings of the Royal Society of Edinburgh: Section A Mathematics 153, no. 4 (2022): 1150–66. https://doi.org/10.1017/prm.2022.39.","apa":"Wang, Y., & Winkler, M. (2022). Finite-time blow-up in a repulsive chemotaxis-consumption system. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 153(4), 1150–1166. https://doi.org/10.1017/prm.2022.39","bibtex":"@article{Wang_Winkler_2022, title={Finite-time blow-up in a repulsive chemotaxis-consumption system}, volume={153}, DOI={10.1017/prm.2022.39}, number={4}, journal={Proceedings of the Royal Society of Edinburgh: Section A Mathematics}, publisher={Cambridge University Press (CUP)}, author={Wang, Yulan and Winkler, Michael}, year={2022}, pages={1150–1166} }","mla":"Wang, Yulan, and Michael Winkler. “Finite-Time Blow-up in a Repulsive Chemotaxis-Consumption System.” Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 153, no. 4, Cambridge University Press (CUP), 2022, pp. 1150–66, doi:10.1017/prm.2022.39.","short":"Y. Wang, M. Winkler, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 153 (2022) 1150–1166."},"intvolume":" 153","page":"1150-1166","publication_status":"published","publication_identifier":{"issn":["0308-2105","1473-7124"]},"issue":"4","title":"Finite-time blow-up in a repulsive chemotaxis-consumption system","doi":"10.1017/prm.2022.39","date_updated":"2024-04-07T12:44:30Z","publisher":"Cambridge University Press (CUP)","date_created":"2024-04-07T12:44:26Z","author":[{"first_name":"Yulan","full_name":"Wang, Yulan","last_name":"Wang"},{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler"}],"volume":153,"abstract":[{"lang":"eng","text":"In a ball $\\Omega \\subset \\mathbb {R}^{n}$ with $n\\ge 2$, the chemotaxis system\r\n\\[ \\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."}],"status":"public","type":"journal_article","publication":"Proceedings of the Royal Society of Edinburgh: Section A Mathematics","keyword":["General Mathematics"],"language":[{"iso":"eng"}],"_id":"53331","user_id":"31496"},{"intvolume":" 13","citation":{"ieee":"M. Winkler, “Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model,” Bulletin of Mathematical Sciences, vol. 13, no. 02, 2022, doi: 10.1142/s1664360722500126.","chicago":"Winkler, Michael. “Application of the Moser–Trudinger Inequality in the Construction of Global Solutions to a Strongly Degenerate Migration Model.” Bulletin of Mathematical Sciences 13, no. 02 (2022). https://doi.org/10.1142/s1664360722500126.","ama":"Winkler M. Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model. Bulletin of Mathematical Sciences. 2022;13(02). doi:10.1142/s1664360722500126","bibtex":"@article{Winkler_2022, title={Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model}, volume={13}, DOI={10.1142/s1664360722500126}, number={02}, journal={Bulletin of Mathematical Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }","mla":"Winkler, Michael. “Application of the Moser–Trudinger Inequality in the Construction of Global Solutions to a Strongly Degenerate Migration Model.” Bulletin of Mathematical Sciences, vol. 13, no. 02, World Scientific Pub Co Pte Ltd, 2022, doi:10.1142/s1664360722500126.","short":"M. Winkler, Bulletin of Mathematical Sciences 13 (2022).","apa":"Winkler, M. (2022). Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model. Bulletin of Mathematical Sciences, 13(02). https://doi.org/10.1142/s1664360722500126"},"year":"2022","issue":"02","publication_identifier":{"issn":["1664-3607","1664-3615"]},"publication_status":"published","doi":"10.1142/s1664360722500126","title":"Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model","volume":13,"date_created":"2024-04-07T12:55:07Z","author":[{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"date_updated":"2024-04-07T12:55:11Z","publisher":"World Scientific Pub Co Pte Ltd","status":"public","abstract":[{"lang":"eng","text":" 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. 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T., Niemann, R., Schachtebeck, M., Simons, D., Stoltenberg, J., & Sureth-Sloane, C. (2022). Chancen und Risiken eines Cooperative Compliance-Ansatzes für die deutsche Besteuerungspraxis von multinationalen Unternehmen – Erfahrungen verschiedener Länder und Eindrücke deutscher Unternehmensvertreter. Internationales Steuerrecht, 31(22), 824–829.","ieee":". Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre e.V. et al., “Chancen und Risiken eines Cooperative Compliance-Ansatzes für die deutsche Besteuerungspraxis von multinationalen Unternehmen – Erfahrungen verschiedener Länder und Eindrücke deutscher Unternehmensvertreter,” Internationales Steuerrecht, vol. 31, no. 22, pp. 824–829, 2022.","chicago":"Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre e.V., ., A lead authors: Kreuzer, H Maier, J. T. 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A multicriteria-optimization model for cultural heritage renovation projects and public-private partnerships in the hospitality industry. Current Issues in Tourism. 2022;25(22):3709-3734. doi:10.1080/13683500.2021.2015299","ieee":"M. Tavana, A. Azadmanesh, A. K. Nasr, and H. Mina, “A multicriteria-optimization model for cultural heritage renovation projects and public-private partnerships in the hospitality industry,” Current Issues in Tourism, vol. 25, no. 22, pp. 3709–3734, 2022, doi: 10.1080/13683500.2021.2015299.","chicago":"Tavana, Madjid, Abdolreza Azadmanesh, Arash Khalili Nasr, and Hassan Mina. “A Multicriteria-Optimization Model for Cultural Heritage Renovation Projects and Public-Private Partnerships in the Hospitality Industry.” Current Issues in Tourism 25, no. 22 (2022): 3709–34. https://doi.org/10.1080/13683500.2021.2015299.","mla":"Tavana, Madjid, et al. “A Multicriteria-Optimization Model for Cultural Heritage Renovation Projects and Public-Private Partnerships in the Hospitality Industry.” Current Issues in Tourism, vol. 25, no. 22, Informa UK Limited, 2022, pp. 3709–34, doi:10.1080/13683500.2021.2015299.","bibtex":"@article{Tavana_Azadmanesh_Nasr_Mina_2022, title={A multicriteria-optimization model for cultural heritage renovation projects and public-private partnerships in the hospitality industry}, volume={25}, DOI={10.1080/13683500.2021.2015299}, number={22}, journal={Current Issues in Tourism}, publisher={Informa UK Limited}, author={Tavana, Madjid and Azadmanesh, Abdolreza and Nasr, Arash Khalili and Mina, Hassan}, year={2022}, pages={3709–3734} }","short":"M. Tavana, A. Azadmanesh, A.K. Nasr, H. Mina, Current Issues in Tourism 25 (2022) 3709–3734.","apa":"Tavana, M., Azadmanesh, A., Nasr, A. K., & Mina, H. (2022). A multicriteria-optimization model for cultural heritage renovation projects and public-private partnerships in the hospitality industry. Current Issues in Tourism, 25(22), 3709–3734. https://doi.org/10.1080/13683500.2021.2015299"},"page":"3709-3734","intvolume":" 25","year":"2022","issue":"22","publication_status":"published","publication_identifier":{"issn":["1368-3500","1747-7603"]}}]