[{"status":"public","abstract":[{"lang":"eng","text":"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."}],"type":"journal_article","publication":"Nonlinearity","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","General Physics and Astronomy","Mathematical Physics","Statistical and Nonlinear Physics"],"user_id":"31496","_id":"53345","citation":{"ieee":"M. Winkler, “Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction,” Nonlinearity, vol. 36, no. 8, pp. 4438–4469, 2023, doi: 10.1088/1361-6544/ace22e.","chicago":"Winkler, Michael. “Stabilization despite Pervasive Strong Cross-Degeneracies in a Nonlinear Diffusion Model for Migration–Consumption Interaction.” Nonlinearity 36, no. 8 (2023): 4438–69. https://doi.org/10.1088/1361-6544/ace22e.","ama":"Winkler M. Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction. Nonlinearity. 2023;36(8):4438-4469. doi:10.1088/1361-6544/ace22e","mla":"Winkler, Michael. “Stabilization despite Pervasive Strong Cross-Degeneracies in a Nonlinear Diffusion Model for Migration–Consumption Interaction.” Nonlinearity, vol. 36, no. 8, IOP Publishing, 2023, pp. 4438–69, doi:10.1088/1361-6544/ace22e.","bibtex":"@article{Winkler_2023, title={Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction}, volume={36}, DOI={10.1088/1361-6544/ace22e}, number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Winkler, Michael}, year={2023}, pages={4438–4469} }","short":"M. Winkler, Nonlinearity 36 (2023) 4438–4469.","apa":"Winkler, M. (2023). Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction. Nonlinearity, 36(8), 4438–4469. https://doi.org/10.1088/1361-6544/ace22e"},"intvolume":" 36","page":"4438-4469","year":"2023","issue":"8","publication_status":"published","publication_identifier":{"issn":["0951-7715","1361-6544"]},"doi":"10.1088/1361-6544/ace22e","title":"Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction","author":[{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"date_created":"2024-04-07T12:56:35Z","volume":36,"date_updated":"2024-04-07T12:56:40Z","publisher":"IOP Publishing"},{"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Numerical Analysis","Analysis"],"user_id":"31496","_id":"53341","status":"public","abstract":[{"text":"AbstractThe Cauchy problem in $$\\mathbb {R}^n$$\r\n \r\n \r\n R\r\n \r\n n\r\n \r\n is considered for the Keller–Segel system $$\\begin{aligned} \\left\\{ \\begin{array}{l}u_t = \\Delta u - \\nabla \\cdot (u\\nabla v), \\\\ 0 = \\Delta v + u, \\end{array} \\right. \\qquad \\qquad (\\star ) \\end{aligned}$$\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 Δ\r\n u\r\n -\r\n ∇\r\n ·\r\n \r\n (\r\n u\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 0\r\n =\r\n Δ\r\n v\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 with a focus on a detailed description of behavior in the presence of nonnegative radially symmetric initial data $$u_0$$\r\n \r\n u\r\n 0\r\n \r\n with non-integrable behavior at spatial infinity. It is shown that if $$u_0$$\r\n \r\n u\r\n 0\r\n \r\n is continuous and bounded, then ($$\\star $$\r\n ⋆\r\n ) admits a local-in-time classical solution, whereas if $$u_0(x)\\rightarrow +\\infty $$\r\n \r\n \r\n u\r\n 0\r\n \r\n \r\n (\r\n x\r\n )\r\n \r\n →\r\n +\r\n ∞\r\n \r\n as $$|x|\\rightarrow \\infty $$\r\n \r\n |\r\n x\r\n |\r\n →\r\n ∞\r\n \r\n , 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 ($$\\star $$\r\n ⋆\r\n ) need not be enforced by initially high concentrations near finite points, but can be exclusively due to large tails.","lang":"eng"}],"publication":"Journal of Elliptic and Parabolic Equations","type":"journal_article","doi":"10.1007/s41808-023-00230-y","title":"Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity","volume":9,"author":[{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"date_created":"2024-04-07T12:52:52Z","date_updated":"2024-04-07T12:52:55Z","publisher":"Springer Science and Business Media LLC","intvolume":" 9","page":"919-959","citation":{"apa":"Winkler, M. (2023). Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity. Journal of Elliptic and Parabolic Equations, 9(2), 919–959. https://doi.org/10.1007/s41808-023-00230-y","mla":"Winkler, Michael. “Solutions to the Keller–Segel System with Non-Integrable Behavior at Spatial Infinity.” Journal of Elliptic and Parabolic Equations, vol. 9, no. 2, Springer Science and Business Media LLC, 2023, pp. 919–59, doi:10.1007/s41808-023-00230-y.","short":"M. Winkler, Journal of Elliptic and Parabolic Equations 9 (2023) 919–959.","bibtex":"@article{Winkler_2023, title={Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity}, volume={9}, DOI={10.1007/s41808-023-00230-y}, number={2}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2023}, pages={919–959} }","ama":"Winkler M. Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity. Journal of Elliptic and Parabolic Equations. 2023;9(2):919-959. doi:10.1007/s41808-023-00230-y","chicago":"Winkler, Michael. “Solutions to the Keller–Segel System with Non-Integrable Behavior at Spatial Infinity.” Journal of Elliptic and Parabolic Equations 9, no. 2 (2023): 919–59. https://doi.org/10.1007/s41808-023-00230-y.","ieee":"M. Winkler, “Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity,” Journal of Elliptic and Parabolic Equations, vol. 9, no. 2, pp. 919–959, 2023, doi: 10.1007/s41808-023-00230-y."},"year":"2023","issue":"2","publication_identifier":{"issn":["2296-9020","2296-9039"]},"publication_status":"published"},{"status":"public","publication":"SIAM Journal on Applied Mathematics","type":"journal_article","keyword":["Applied Mathematics"],"language":[{"iso":"eng"}],"_id":"53340","user_id":"31496","year":"2023","intvolume":" 83","page":"2096-2117","citation":{"ama":"Painter KJ, Winkler M. Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities. SIAM Journal on Applied Mathematics. 2023;83(5):2096-2117. doi:10.1137/22m1539393","ieee":"K. J. Painter and M. Winkler, “Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities,” SIAM Journal on Applied Mathematics, vol. 83, no. 5, pp. 2096–2117, 2023, doi: 10.1137/22m1539393.","chicago":"Painter, Kevin J., and Michael Winkler. “Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities.” SIAM Journal on Applied Mathematics 83, no. 5 (2023): 2096–2117. https://doi.org/10.1137/22m1539393.","apa":"Painter, K. J., & Winkler, M. (2023). Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities. SIAM Journal on Applied Mathematics, 83(5), 2096–2117. https://doi.org/10.1137/22m1539393","bibtex":"@article{Painter_Winkler_2023, title={Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities}, volume={83}, DOI={10.1137/22m1539393}, number={5}, journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Painter, Kevin J. and Winkler, Michael}, year={2023}, pages={2096–2117} }","short":"K.J. Painter, M. Winkler, SIAM Journal on Applied Mathematics 83 (2023) 2096–2117.","mla":"Painter, Kevin J., and Michael Winkler. “Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities.” SIAM Journal on Applied Mathematics, vol. 83, no. 5, Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 2096–117, doi:10.1137/22m1539393."},"publication_identifier":{"issn":["0036-1399","1095-712X"]},"publication_status":"published","issue":"5","title":"Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities","doi":"10.1137/22m1539393","publisher":"Society for Industrial & Applied Mathematics (SIAM)","date_updated":"2024-04-07T12:52:06Z","volume":83,"date_created":"2024-04-07T12:52:03Z","author":[{"first_name":"Kevin J.","full_name":"Painter, Kevin J.","last_name":"Painter"},{"last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael"}]},{"doi":"10.1016/j.jde.2023.07.029","title":"Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems","volume":374,"date_created":"2024-04-07T12:53:32Z","author":[{"last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael"},{"first_name":"Tomomi","last_name":"Yokota","full_name":"Yokota, Tomomi"}],"publisher":"Elsevier BV","date_updated":"2024-04-07T12:53:38Z","intvolume":" 374","page":"1-28","citation":{"ieee":"M. Winkler and T. Yokota, “Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems,” Journal of Differential Equations, vol. 374, pp. 1–28, 2023, doi: 10.1016/j.jde.2023.07.029.","chicago":"Winkler, Michael, and Tomomi Yokota. “Avoiding Critical Mass Phenomena by Arbitrarily Mild Saturation of Cross-Diffusive Fluxes in Two-Dimensional Keller-Segel-Navier-Stokes Systems.” Journal of Differential Equations 374 (2023): 1–28. https://doi.org/10.1016/j.jde.2023.07.029.","ama":"Winkler M, Yokota T. Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems. Journal of Differential Equations. 2023;374:1-28. doi:10.1016/j.jde.2023.07.029","apa":"Winkler, M., & Yokota, T. (2023). Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems. Journal of Differential Equations, 374, 1–28. https://doi.org/10.1016/j.jde.2023.07.029","short":"M. Winkler, T. Yokota, Journal of Differential Equations 374 (2023) 1–28.","mla":"Winkler, Michael, and Tomomi Yokota. “Avoiding Critical Mass Phenomena by Arbitrarily Mild Saturation of Cross-Diffusive Fluxes in Two-Dimensional Keller-Segel-Navier-Stokes Systems.” Journal of Differential Equations, vol. 374, Elsevier BV, 2023, pp. 1–28, doi:10.1016/j.jde.2023.07.029.","bibtex":"@article{Winkler_Yokota_2023, title={Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems}, volume={374}, DOI={10.1016/j.jde.2023.07.029}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael and Yokota, Tomomi}, year={2023}, pages={1–28} }"},"year":"2023","publication_identifier":{"issn":["0022-0396"]},"publication_status":"published","language":[{"iso":"eng"}],"keyword":["Analysis","Applied Mathematics"],"user_id":"31496","_id":"53342","status":"public","publication":"Journal of Differential Equations","type":"journal_article"},{"status":"public","type":"journal_article","publication":"Advances in Differential Equations","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Analysis"],"user_id":"31496","_id":"53346","citation":{"ama":"Winkler M. Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing. Advances in Differential Equations. 2023;28(11/12). doi:10.57262/ade028-1112-921","chicago":"Winkler, Michael. “Absence of Collapse into Persistent Dirac-Type Singularities in a Keller-Segel-Navier-Stokes System Involving Local Sensing.” Advances in Differential Equations 28, no. 11/12 (2023). https://doi.org/10.57262/ade028-1112-921.","ieee":"M. Winkler, “Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing,” Advances in Differential Equations, vol. 28, no. 11/12, 2023, doi: 10.57262/ade028-1112-921.","apa":"Winkler, M. (2023). Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing. Advances in Differential Equations, 28(11/12). https://doi.org/10.57262/ade028-1112-921","short":"M. Winkler, Advances in Differential Equations 28 (2023).","mla":"Winkler, Michael. “Absence of Collapse into Persistent Dirac-Type Singularities in a Keller-Segel-Navier-Stokes System Involving Local Sensing.” Advances in Differential Equations, vol. 28, no. 11/12, Khayyam Publishing, Inc, 2023, doi:10.57262/ade028-1112-921.","bibtex":"@article{Winkler_2023, title={Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing}, volume={28}, DOI={10.57262/ade028-1112-921}, number={11/12}, journal={Advances in Differential Equations}, publisher={Khayyam Publishing, Inc}, author={Winkler, Michael}, year={2023} }"},"intvolume":" 28","year":"2023","issue":"11/12","publication_status":"published","publication_identifier":{"issn":["1079-9389"]},"doi":"10.57262/ade028-1112-921","title":"Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing","date_created":"2024-04-07T12:57:19Z","author":[{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler"}],"volume":28,"date_updated":"2024-04-07T12:57:23Z","publisher":"Khayyam Publishing, Inc"},{"publication":"IEEE Transactions on Fuzzy Systems","type":"journal_article","status":"public","department":[{"_id":"277"}],"user_id":"51811","_id":"53229","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Artificial Intelligence","Computational Theory and Mathematics","Control and Systems Engineering"],"issue":"2","publication_identifier":{"issn":["1063-6706","1941-0034"]},"publication_status":"published","page":"460-474","intvolume":" 31","citation":{"apa":"Santos-Arteaga, F. J., Di Caprio, D., Tavana, M., & Tena, E. C. (2023). A Credibility and Strategic Behavior Approach in Hesitant Multiple Criteria Decision-Making With Application to Sustainable Transportation. IEEE Transactions on Fuzzy Systems, 31(2), 460–474. https://doi.org/10.1109/tfuzz.2022.3188875","bibtex":"@article{Santos-Arteaga_Di Caprio_Tavana_Tena_2023, title={A Credibility and Strategic Behavior Approach in Hesitant Multiple Criteria Decision-Making With Application to Sustainable Transportation}, volume={31}, DOI={10.1109/tfuzz.2022.3188875}, number={2}, journal={IEEE Transactions on Fuzzy Systems}, publisher={Institute of Electrical and Electronics Engineers (IEEE)}, author={Santos-Arteaga, Francisco J. and Di Caprio, Debora and Tavana, Madjid and Tena, Emilio Cerda}, year={2023}, pages={460–474} }","mla":"Santos-Arteaga, Francisco J., et al. “A Credibility and Strategic Behavior Approach in Hesitant Multiple Criteria Decision-Making With Application to Sustainable Transportation.” IEEE Transactions on Fuzzy Systems, vol. 31, no. 2, Institute of Electrical and Electronics Engineers (IEEE), 2023, pp. 460–74, doi:10.1109/tfuzz.2022.3188875.","short":"F.J. Santos-Arteaga, D. Di Caprio, M. Tavana, E.C. Tena, IEEE Transactions on Fuzzy Systems 31 (2023) 460–474.","chicago":"Santos-Arteaga, Francisco J., Debora Di Caprio, Madjid Tavana, and Emilio Cerda Tena. “A Credibility and Strategic Behavior Approach in Hesitant Multiple Criteria Decision-Making With Application to Sustainable Transportation.” IEEE Transactions on Fuzzy Systems 31, no. 2 (2023): 460–74. https://doi.org/10.1109/tfuzz.2022.3188875.","ieee":"F. J. Santos-Arteaga, D. Di Caprio, M. Tavana, and E. C. Tena, “A Credibility and Strategic Behavior Approach in Hesitant Multiple Criteria Decision-Making With Application to Sustainable Transportation,” IEEE Transactions on Fuzzy Systems, vol. 31, no. 2, pp. 460–474, 2023, doi: 10.1109/tfuzz.2022.3188875.","ama":"Santos-Arteaga FJ, Di Caprio D, Tavana M, Tena EC. A Credibility and Strategic Behavior Approach in Hesitant Multiple Criteria Decision-Making With Application to Sustainable Transportation. IEEE Transactions on Fuzzy Systems. 2023;31(2):460-474. doi:10.1109/tfuzz.2022.3188875"},"year":"2023","volume":31,"author":[{"last_name":"Santos-Arteaga","full_name":"Santos-Arteaga, Francisco J.","first_name":"Francisco J."},{"first_name":"Debora","last_name":"Di Caprio","full_name":"Di Caprio, Debora"},{"first_name":"Madjid","id":"31858","full_name":"Tavana, Madjid","last_name":"Tavana"},{"full_name":"Tena, Emilio Cerda","last_name":"Tena","first_name":"Emilio Cerda"}],"date_created":"2024-04-04T14:00:53Z","publisher":"Institute of Electrical and Electronics Engineers (IEEE)","date_updated":"2024-04-15T13:15:07Z","doi":"10.1109/tfuzz.2022.3188875","title":"A Credibility and Strategic Behavior Approach in Hesitant Multiple Criteria Decision-Making With Application to Sustainable Transportation"},{"publication_identifier":{"issn":["2296-9020","2296-9039"]},"publication_status":"published","year":"2023","citation":{"ieee":"E. Papageorgiou, “Asymptotics for the infinite Brownian loop on noncompact symmetric spaces,” Journal of Elliptic and Parabolic Equations, 2023, doi: 10.1007/s41808-023-00250-8.","chicago":"Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on Noncompact Symmetric Spaces.” Journal of Elliptic and Parabolic Equations, 2023. https://doi.org/10.1007/s41808-023-00250-8.","ama":"Papageorgiou E. Asymptotics for the infinite Brownian loop on noncompact symmetric spaces. Journal of Elliptic and Parabolic Equations. Published online 2023. doi:10.1007/s41808-023-00250-8","apa":"Papageorgiou, E. (2023). Asymptotics for the infinite Brownian loop on noncompact symmetric spaces. Journal of Elliptic and Parabolic Equations. https://doi.org/10.1007/s41808-023-00250-8","short":"E. Papageorgiou, Journal of Elliptic and Parabolic Equations (2023).","bibtex":"@article{Papageorgiou_2023, title={Asymptotics for the infinite Brownian loop on noncompact symmetric spaces}, DOI={10.1007/s41808-023-00250-8}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2023} }","mla":"Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on Noncompact Symmetric Spaces.” Journal of Elliptic and Parabolic Equations, Springer Science and Business Media LLC, 2023, doi:10.1007/s41808-023-00250-8."},"publisher":"Springer Science and Business Media LLC","date_updated":"2024-04-17T13:17:10Z","date_created":"2024-04-17T13:16:39Z","author":[{"first_name":"Efthymia","full_name":"Papageorgiou, Efthymia","id":"100325","last_name":"Papageorgiou"}],"title":"Asymptotics for the infinite Brownian loop on noncompact symmetric spaces","doi":"10.1007/s41808-023-00250-8","publication":"Journal of Elliptic and Parabolic Equations","type":"journal_article","abstract":[{"text":"AbstractThe infinite Brownian loop on a Riemannian manifold is the limit in distribution of the Brownian bridge of length T around a fixed origin when $$T \\rightarrow +\\infty $$\r\n \r\n T\r\n →\r\n +\r\n ∞\r\n \r\n . The aim of this note is to study its long-time asymptotics on Riemannian symmetric spaces G/K of noncompact type and of general rank. This amounts to the behavior of solutions to the heat equation subject to the Doob transform induced by the ground spherical function. Unlike the standard Brownian motion, we observe in this case phenomena which are similar to the Euclidean setting, namely $$L^1$$\r\n \r\n L\r\n 1\r\n \r\n asymptotic convergence without requiring bi-K-invariance for initial data, and strong $$L^{\\infty }$$\r\n \r\n L\r\n ∞\r\n \r\n convergence.","lang":"eng"}],"status":"public","_id":"53539","department":[{"_id":"555"}],"user_id":"100325","keyword":["Applied Mathematics","Numerical Analysis","Analysis"],"language":[{"iso":"eng"}]},{"type":"journal_article","publication":"Nonlinear Analysis: Real World Applications","status":"public","user_id":"23686","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"_id":"43105","language":[{"iso":"eng"}],"article_number":"103868","keyword":["Applied Mathematics","Computational Mathematics","General Economics","Econometrics and Finance","General Engineering","General Medicine","Analysis"],"publication_status":"published","publication_identifier":{"issn":["1468-1218"]},"citation":{"chicago":"Black, Tobias, Mario Fuest, Johannes Lankeit, and Masaaki Mizukami. “Possible Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic Source.” Nonlinear Analysis: Real World Applications 73 (2023). https://doi.org/10.1016/j.nonrwa.2023.103868.","ieee":"T. Black, M. Fuest, J. Lankeit, and M. Mizukami, “Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source,” Nonlinear Analysis: Real World Applications, vol. 73, Art. no. 103868, 2023, doi: 10.1016/j.nonrwa.2023.103868.","ama":"Black T, Fuest M, Lankeit J, Mizukami M. Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. Nonlinear Analysis: Real World Applications. 2023;73. doi:10.1016/j.nonrwa.2023.103868","apa":"Black, T., Fuest, M., Lankeit, J., & Mizukami, M. (2023). Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. Nonlinear Analysis: Real World Applications, 73, Article 103868. https://doi.org/10.1016/j.nonrwa.2023.103868","mla":"Black, Tobias, et al. “Possible Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic Source.” Nonlinear Analysis: Real World Applications, vol. 73, 103868, Elsevier BV, 2023, doi:10.1016/j.nonrwa.2023.103868.","bibtex":"@article{Black_Fuest_Lankeit_Mizukami_2023, title={Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source}, volume={73}, DOI={10.1016/j.nonrwa.2023.103868}, number={103868}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Black, Tobias and Fuest, Mario and Lankeit, Johannes and Mizukami, Masaaki}, year={2023} }","short":"T. Black, M. Fuest, J. Lankeit, M. Mizukami, Nonlinear Analysis: Real World Applications 73 (2023)."},"intvolume":" 73","year":"2023","date_created":"2023-03-27T07:25:58Z","author":[{"id":"23686","full_name":"Black, Tobias","last_name":"Black","orcid":"0000-0001-9963-0800","first_name":"Tobias"},{"first_name":"Mario","full_name":"Fuest, Mario","last_name":"Fuest"},{"last_name":"Lankeit","full_name":"Lankeit, Johannes","first_name":"Johannes"},{"first_name":"Masaaki","last_name":"Mizukami","full_name":"Mizukami, Masaaki"}],"volume":73,"publisher":"Elsevier BV","date_updated":"2023-03-27T07:27:03Z","doi":"10.1016/j.nonrwa.2023.103868","title":"Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source"},{"publication":"Operations Research Letters","type":"journal_article","status":"public","_id":"44077","project":[{"_id":"1","name":"SFB 901: SFB 901"},{"_id":"4","name":"SFB 901 - C: SFB 901 - Project Area C"},{"name":"SFB 901 - C4: SFB 901 - Subproject C4","_id":"16"}],"department":[{"_id":"63"}],"user_id":"88252","keyword":["Applied Mathematics","Industrial and Manufacturing Engineering","Management Science and Operations Research","Software"],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0167-6377"]},"issue":"3","year":"2023","intvolume":" 51","page":"220-225","citation":{"apa":"Maack, M. (2023). Online load balancing on uniform machines with limited migration. Operations Research Letters, 51(3), 220–225. https://doi.org/10.1016/j.orl.2023.02.013","bibtex":"@article{Maack_2023, title={Online load balancing on uniform machines with limited migration}, volume={51}, DOI={10.1016/j.orl.2023.02.013}, number={3}, journal={Operations Research Letters}, publisher={Elsevier BV}, author={Maack, Marten}, year={2023}, pages={220–225} }","mla":"Maack, Marten. “Online Load Balancing on Uniform Machines with Limited Migration.” Operations Research Letters, vol. 51, no. 3, Elsevier BV, 2023, pp. 220–25, doi:10.1016/j.orl.2023.02.013.","short":"M. Maack, Operations Research Letters 51 (2023) 220–225.","ama":"Maack M. Online load balancing on uniform machines with limited migration. Operations Research Letters. 2023;51(3):220-225. doi:10.1016/j.orl.2023.02.013","ieee":"M. Maack, “Online load balancing on uniform machines with limited migration,” Operations Research Letters, vol. 51, no. 3, pp. 220–225, 2023, doi: 10.1016/j.orl.2023.02.013.","chicago":"Maack, Marten. “Online Load Balancing on Uniform Machines with Limited Migration.” Operations Research Letters 51, no. 3 (2023): 220–25. https://doi.org/10.1016/j.orl.2023.02.013."},"publisher":"Elsevier BV","date_updated":"2023-04-21T07:53:42Z","volume":51,"author":[{"first_name":"Marten","last_name":"Maack","full_name":"Maack, Marten"}],"date_created":"2023-04-20T08:59:14Z","title":"Online load balancing on uniform machines with limited migration","doi":"10.1016/j.orl.2023.02.013"},{"department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","_id":"45757","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics","Computational Theory and Mathematics","Mechanical Engineering","Ocean Engineering","Computational Mechanics"],"publication":"Computational Mechanics","type":"journal_article","status":"public","abstract":[{"lang":"eng","text":"AbstractThree prominent low order implicit time integration schemes are the first order implicit Euler-method, the second order trapezoidal rule and the second order Ellsiepen method. Its advantages are stability and comparatively low computational cost, however, they require the solution of a nonlinear system of equations. This paper presents a general approach for the construction of third order Runge–Kutta methods by embedding the above mentioned implicit schemes into the class of ELDIRK-methods. These will be defined to have an Explicit Last stage in the general Butcher array of Diagonal Implicit Runge–Kutta (DIRK) methods, with the consequence, that no additional system of equations must be solved. The main results—valid also for non-linear ordinary differential equations—are as follows: Two extra function calculations are required in order to embed the implicit Euler-method and one extra function calculation is required for the trapezoidal-rule and the Ellsiepen method, in order to obtain the third order properties, respectively. Two numerical examples are concerned with a parachute with viscous damping and a two-dimensional laser beam simulation. Here, we verify the higher order convergence behaviours of the proposed new ELDIRK-methods, and its successful performances for asymptotically exact global error estimation of so-called reversed embedded RK-method are shown.\r\n"}],"author":[{"last_name":"Mahnken","full_name":"Mahnken, Rolf","id":"335","first_name":"Rolf"}],"date_created":"2023-06-23T06:47:36Z","date_updated":"2023-06-23T06:48:42Z","publisher":"Springer Science and Business Media LLC","doi":"10.1007/s00466-023-02347-2","title":"Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation","quality_controlled":"1","publication_identifier":{"issn":["0178-7675","1432-0924"]},"publication_status":"published","citation":{"ama":"Mahnken R. Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation. Computational Mechanics. Published online 2023. doi:10.1007/s00466-023-02347-2","ieee":"R. Mahnken, “Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation,” Computational Mechanics, 2023, doi: 10.1007/s00466-023-02347-2.","chicago":"Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK) by Embedding of Lower Order Implicit Time Integration Schemes for Local and Global Error Estimation.” Computational Mechanics, 2023. https://doi.org/10.1007/s00466-023-02347-2.","mla":"Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK) by Embedding of Lower Order Implicit Time Integration Schemes for Local and Global Error Estimation.” Computational Mechanics, Springer Science and Business Media LLC, 2023, doi:10.1007/s00466-023-02347-2.","short":"R. Mahnken, Computational Mechanics (2023).","bibtex":"@article{Mahnken_2023, title={Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation}, DOI={10.1007/s00466-023-02347-2}, journal={Computational Mechanics}, publisher={Springer Science and Business Media LLC}, author={Mahnken, Rolf}, year={2023} }","apa":"Mahnken, R. (2023). Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation. Computational Mechanics. https://doi.org/10.1007/s00466-023-02347-2"},"year":"2023"},{"article_number":"127558","user_id":"99427","department":[{"_id":"799"}],"_id":"46100","status":"public","type":"journal_article","main_file_link":[{"open_access":"1"}],"doi":"10.1016/j.jmaa.2023.127558","author":[{"orcid":"0000-0001-9074-1205","last_name":"Hinrichs","full_name":"Hinrichs, Benjamin","id":"99427","first_name":"Benjamin"},{"full_name":"Janssen, Daan W.","last_name":"Janssen","first_name":"Daan W."},{"full_name":"Ziebell, Jobst","last_name":"Ziebell","first_name":"Jobst"}],"volume":528,"date_updated":"2026-01-16T09:04:39Z","oa":"1","citation":{"chicago":"Hinrichs, Benjamin, Daan W. Janssen, and Jobst Ziebell. “Super-Gaussian Decay of Exponentials: A Sufficient Condition.” Journal of Mathematical Analysis and Applications 528, no. 1 (2023). https://doi.org/10.1016/j.jmaa.2023.127558.","ieee":"B. Hinrichs, D. W. Janssen, and J. Ziebell, “Super-Gaussian decay of exponentials: A sufficient condition,” Journal of Mathematical Analysis and Applications, vol. 528, no. 1, Art. no. 127558, 2023, doi: 10.1016/j.jmaa.2023.127558.","ama":"Hinrichs B, Janssen DW, Ziebell J. Super-Gaussian decay of exponentials: A sufficient condition. Journal of Mathematical Analysis and Applications. 2023;528(1). doi:10.1016/j.jmaa.2023.127558","apa":"Hinrichs, B., Janssen, D. W., & Ziebell, J. (2023). Super-Gaussian decay of exponentials: A sufficient condition. Journal of Mathematical Analysis and Applications, 528(1), Article 127558. https://doi.org/10.1016/j.jmaa.2023.127558","mla":"Hinrichs, Benjamin, et al. “Super-Gaussian Decay of Exponentials: A Sufficient Condition.” Journal of Mathematical Analysis and Applications, vol. 528, no. 1, 127558, Elsevier BV, 2023, doi:10.1016/j.jmaa.2023.127558.","bibtex":"@article{Hinrichs_Janssen_Ziebell_2023, title={Super-Gaussian decay of exponentials: A sufficient condition}, volume={528}, DOI={10.1016/j.jmaa.2023.127558}, number={1127558}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Hinrichs, Benjamin and Janssen, Daan W. and Ziebell, Jobst}, year={2023} }","short":"B. Hinrichs, D.W. Janssen, J. Ziebell, Journal of Mathematical Analysis and Applications 528 (2023)."},"intvolume":" 528","publication_status":"published","publication_identifier":{"issn":["0022-247X"]},"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Analysis"],"external_id":{"arxiv":["2205.09189"]},"publication":"Journal of Mathematical Analysis and Applications","title":"Super-Gaussian decay of exponentials: A sufficient condition","date_created":"2023-07-20T05:08:49Z","publisher":"Elsevier BV","year":"2023","issue":"1"},{"issue":"2","publication_status":"published","publication_identifier":{"issn":["2691-3399"]},"citation":{"chicago":"Serino, Laura, Jano Gil López, Michael Stefszky, Raimund Ricken, Christof Eigner, Benjamin Brecht, and Christine Silberhorn. “Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States.” PRX Quantum 4, no. 2 (2023). https://doi.org/10.1103/prxquantum.4.020306.","ieee":"L. Serino et al., “Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States,” PRX Quantum, vol. 4, no. 2, Art. no. 020306, 2023, doi: 10.1103/prxquantum.4.020306.","ama":"Serino L, Gil López J, Stefszky M, et al. Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States. PRX Quantum. 2023;4(2). doi:10.1103/prxquantum.4.020306","mla":"Serino, Laura, et al. “Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States.” PRX Quantum, vol. 4, no. 2, 020306, American Physical Society (APS), 2023, doi:10.1103/prxquantum.4.020306.","short":"L. Serino, J. Gil López, M. Stefszky, R. Ricken, C. Eigner, B. Brecht, C. Silberhorn, PRX Quantum 4 (2023).","bibtex":"@article{Serino_Gil López_Stefszky_Ricken_Eigner_Brecht_Silberhorn_2023, title={Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States}, volume={4}, DOI={10.1103/prxquantum.4.020306}, number={2020306}, journal={PRX Quantum}, publisher={American Physical Society (APS)}, author={Serino, Laura and Gil López, Jano and Stefszky, Michael and Ricken, Raimund and Eigner, Christof and Brecht, Benjamin and Silberhorn, Christine}, year={2023} }","apa":"Serino, L., Gil López, J., Stefszky, M., Ricken, R., Eigner, C., Brecht, B., & Silberhorn, C. (2023). Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States. PRX Quantum, 4(2), Article 020306. https://doi.org/10.1103/prxquantum.4.020306"},"intvolume":" 4","year":"2023","date_created":"2023-04-20T12:38:23Z","author":[{"id":"88242","full_name":"Serino, Laura","last_name":"Serino","first_name":"Laura"},{"first_name":"Jano","full_name":"Gil López, Jano","id":"51223","last_name":"Gil López"},{"first_name":"Michael","full_name":"Stefszky, Michael","id":"42777","last_name":"Stefszky"},{"last_name":"Ricken","full_name":"Ricken, Raimund","first_name":"Raimund"},{"full_name":"Eigner, Christof","id":"13244","last_name":"Eigner","orcid":"https://orcid.org/0000-0002-5693-3083","first_name":"Christof"},{"first_name":"Benjamin","full_name":"Brecht, Benjamin","id":"27150","last_name":"Brecht","orcid":"0000-0003-4140-0556 "},{"last_name":"Silberhorn","id":"26263","full_name":"Silberhorn, Christine","first_name":"Christine"}],"volume":4,"publisher":"American Physical Society (APS)","date_updated":"2025-12-18T16:15:18Z","doi":"10.1103/prxquantum.4.020306","title":"Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States","type":"journal_article","publication":"PRX Quantum","status":"public","user_id":"27150","department":[{"_id":"288"},{"_id":"623"},{"_id":"15"}],"_id":"44081","language":[{"iso":"eng"}],"article_number":"020306","keyword":["General Physics and Astronomy","Mathematical Physics","Applied Mathematics","Electronic","Optical and Magnetic Materials","Electrical and Electronic Engineering","General Computer Science"]},{"keyword":["Applied Mathematics"],"language":[{"iso":"eng"}],"publication":"Studies in Applied Mathematics","abstract":[{"lang":"eng","text":"AbstractWe give an overview of analytical results concerned with chemotaxis systems where the signal is absorbed. We recall results on existence and properties of solutions for the prototypical chemotaxis‐consumption model and various variants and review more recent findings on its ability to support the emergence of spatial structures."}],"publisher":"Wiley","date_created":"2024-04-07T12:50:45Z","title":"Depleting the signal: Analysis of chemotaxis‐consumption models—A survey","issue":"4","year":"2023","_id":"53338","user_id":"31496","type":"journal_article","status":"public","date_updated":"2025-12-18T20:16:04Z","author":[{"first_name":"Johannes","last_name":"Lankeit","full_name":"Lankeit, Johannes"},{"last_name":"Winkler","id":"31496","full_name":"Winkler, Michael","first_name":"Michael"}],"volume":151,"doi":"10.1111/sapm.12625","publication_status":"published","publication_identifier":{"issn":["0022-2526","1467-9590"]},"citation":{"apa":"Lankeit, J., & Winkler, M. (2023). Depleting the signal: Analysis of chemotaxis‐consumption models—A survey. Studies in Applied Mathematics, 151(4), 1197–1229. https://doi.org/10.1111/sapm.12625","bibtex":"@article{Lankeit_Winkler_2023, title={Depleting the signal: Analysis of chemotaxis‐consumption models—A survey}, volume={151}, DOI={10.1111/sapm.12625}, number={4}, journal={Studies in Applied Mathematics}, publisher={Wiley}, author={Lankeit, Johannes and Winkler, Michael}, year={2023}, pages={1197–1229} }","short":"J. Lankeit, M. Winkler, Studies in Applied Mathematics 151 (2023) 1197–1229.","mla":"Lankeit, Johannes, and Michael Winkler. “Depleting the Signal: Analysis of Chemotaxis‐consumption Models—A Survey.” Studies in Applied Mathematics, vol. 151, no. 4, Wiley, 2023, pp. 1197–229, doi:10.1111/sapm.12625.","ama":"Lankeit J, Winkler M. Depleting the signal: Analysis of chemotaxis‐consumption models—A survey. Studies in Applied Mathematics. 2023;151(4):1197-1229. doi:10.1111/sapm.12625","ieee":"J. Lankeit and M. Winkler, “Depleting the signal: Analysis of chemotaxis‐consumption models—A survey,” Studies in Applied Mathematics, vol. 151, no. 4, pp. 1197–1229, 2023, doi: 10.1111/sapm.12625.","chicago":"Lankeit, Johannes, and Michael Winkler. “Depleting the Signal: Analysis of Chemotaxis‐consumption Models—A Survey.” Studies in Applied Mathematics 151, no. 4 (2023): 1197–1229. https://doi.org/10.1111/sapm.12625."},"intvolume":" 151","page":"1197-1229"},{"citation":{"ama":"Caillau J-B, Djema W, Gouzé J-L, Maslovskaya S, Pomet J-B. Turnpike Property in Optimal Microbial Metabolite Production. Journal of Optimization Theory and Applications. Published online 2022. doi:10.1007/s10957-022-02023-0","ieee":"J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, and J.-B. Pomet, “Turnpike Property in Optimal Microbial Metabolite Production,” Journal of Optimization Theory and Applications, 2022, doi: 10.1007/s10957-022-02023-0.","chicago":"Caillau, Jean-Baptiste, Walid Djema, Jean-Luc Gouzé, Sofya Maslovskaya, and Jean-Baptiste Pomet. “Turnpike Property in Optimal Microbial Metabolite Production.” Journal of Optimization Theory and Applications, 2022. https://doi.org/10.1007/s10957-022-02023-0.","apa":"Caillau, J.-B., Djema, W., Gouzé, J.-L., Maslovskaya, S., & Pomet, J.-B. (2022). Turnpike Property in Optimal Microbial Metabolite Production. Journal of Optimization Theory and Applications. https://doi.org/10.1007/s10957-022-02023-0","bibtex":"@article{Caillau_Djema_Gouzé_Maslovskaya_Pomet_2022, title={Turnpike Property in Optimal Microbial Metabolite Production}, DOI={10.1007/s10957-022-02023-0}, journal={Journal of Optimization Theory and Applications}, publisher={Springer Science and Business Media LLC}, author={Caillau, Jean-Baptiste and Djema, Walid and Gouzé, Jean-Luc and Maslovskaya, Sofya and Pomet, Jean-Baptiste}, year={2022} }","short":"J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, J.-B. Pomet, Journal of Optimization Theory and Applications (2022).","mla":"Caillau, Jean-Baptiste, et al. “Turnpike Property in Optimal Microbial Metabolite Production.” Journal of Optimization Theory and Applications, Springer Science and Business Media LLC, 2022, doi:10.1007/s10957-022-02023-0."},"year":"2022","publication_identifier":{"issn":["0022-3239","1573-2878"]},"publication_status":"published","doi":"10.1007/s10957-022-02023-0","title":"Turnpike Property in Optimal Microbial Metabolite Production","date_created":"2022-04-08T17:23:13Z","author":[{"first_name":"Jean-Baptiste","full_name":"Caillau, Jean-Baptiste","last_name":"Caillau"},{"first_name":"Walid","full_name":"Djema, Walid","last_name":"Djema"},{"full_name":"Gouzé, Jean-Luc","last_name":"Gouzé","first_name":"Jean-Luc"},{"first_name":"Sofya","full_name":"Maslovskaya, Sofya","id":"87909","last_name":"Maslovskaya"},{"first_name":"Jean-Baptiste","full_name":"Pomet, Jean-Baptiste","last_name":"Pomet"}],"date_updated":"2022-04-08T18:23:02Z","publisher":"Springer Science and Business Media LLC","status":"public","abstract":[{"text":"AbstractWe consider the problem of maximization of metabolite production in bacterial cells formulated as a dynamical optimal control problem (DOCP). According to Pontryagin’s maximum principle, optimal solutions are concatenations of singular and bang arcs and exhibit the chattering or Fuller phenomenon, which is problematic for applications. To avoid chattering, we introduce a reduced model which is still biologically relevant and retains the important structural features of the original problem. Using a combination of analytical and numerical methods, we show that the singular arc is dominant in the studied DOCPs and exhibits the turnpike property. This property is further used in order to design simple and realistic suboptimal control strategies.","lang":"eng"}],"publication":"Journal of Optimization Theory and Applications","type":"journal_article","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Management Science and Operations Research","Control and Optimization"],"department":[{"_id":"636"}],"user_id":"87909","_id":"30861"},{"date_created":"2022-05-27T10:09:24Z","author":[{"first_name":"Surender","last_name":"Baswana","full_name":"Baswana, Surender"},{"full_name":"Gupta, Shiv","last_name":"Gupta","first_name":"Shiv"},{"first_name":"Till","id":"39241","full_name":"Knollmann, Till","last_name":"Knollmann","orcid":"0000-0003-2014-4696"}],"date_updated":"2022-05-27T10:14:27Z","publisher":"Springer Science and Business Media LLC","genbank":["tillk"],"doi":"10.1007/s00453-022-00978-0","title":"Mincut Sensitivity Data Structures for the Insertion of an Edge","publication_identifier":{"issn":["0178-4617","1432-0541"]},"publication_status":"published","citation":{"ieee":"S. Baswana, S. Gupta, and T. Knollmann, “Mincut Sensitivity Data Structures for the Insertion of an Edge,” Algorithmica, 2022, doi: 10.1007/s00453-022-00978-0.","chicago":"Baswana, Surender, Shiv Gupta, and Till Knollmann. “Mincut Sensitivity Data Structures for the Insertion of an Edge.” Algorithmica, 2022. https://doi.org/10.1007/s00453-022-00978-0.","ama":"Baswana S, Gupta S, Knollmann T. Mincut Sensitivity Data Structures for the Insertion of an Edge. Algorithmica. Published online 2022. doi:10.1007/s00453-022-00978-0","bibtex":"@article{Baswana_Gupta_Knollmann_2022, title={Mincut Sensitivity Data Structures for the Insertion of an Edge}, DOI={10.1007/s00453-022-00978-0}, journal={Algorithmica}, publisher={Springer Science and Business Media LLC}, author={Baswana, Surender and Gupta, Shiv and Knollmann, Till}, year={2022} }","mla":"Baswana, Surender, et al. “Mincut Sensitivity Data Structures for the Insertion of an Edge.” Algorithmica, Springer Science and Business Media LLC, 2022, doi:10.1007/s00453-022-00978-0.","short":"S. Baswana, S. Gupta, T. Knollmann, Algorithmica (2022).","apa":"Baswana, S., Gupta, S., & Knollmann, T. (2022). Mincut Sensitivity Data Structures for the Insertion of an Edge. Algorithmica. https://doi.org/10.1007/s00453-022-00978-0"},"year":"2022","department":[{"_id":"63"}],"user_id":"39241","_id":"31479","project":[{"_id":"1","name":"SFB 901: SFB 901"},{"_id":"2","name":"SFB 901 - A: SFB 901 - Project Area A"},{"_id":"5","name":"SFB 901 - A1: SFB 901 - Subproject A1"}],"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computer Science Applications","General Computer Science"],"publication":"Algorithmica","type":"journal_article","status":"public"},{"publisher":"IOP Publishing","date_created":"2022-09-06T11:38:15Z","title":"Amplified steady state bifurcations in feedforward networks","issue":"4","year":"2022","external_id":{"arxiv":["2105.02547"]},"keyword":["Applied Mathematics","General Physics and Astronomy","Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"publication":"Nonlinearity","abstract":[{"lang":"eng","text":"We investigate bifurcations in feedforward coupled cell networks. Feedforward structure (the absence of feedback) can be defined by a partial order on the cells. We use this property to study generic one-parameter steady state bifurcations for such networks. Branching solutions and their asymptotics are described in terms of Taylor coefficients of the internal dynamics. They can be determined via an algorithm that only exploits the network structure. Similar to previous results on feedforward chains, we observe amplifications of the growth rates of steady state branches induced by the feedforward structure. However, contrary to these earlier results, as the interaction scenarios can be more complicated in general feedforward networks, different branching patterns and different amplifications can occur for different regions in the space of Taylor coefficients."}],"date_updated":"2022-09-07T08:36:46Z","author":[{"orcid":"0000-0002-8054-2058","last_name":"von der Gracht","full_name":"von der Gracht, Sören","id":"97359","first_name":"Sören"},{"last_name":"Nijholt","full_name":"Nijholt, Eddie","first_name":"Eddie"},{"first_name":"Bob","last_name":"Rink","full_name":"Rink, Bob"}],"volume":35,"doi":"10.1088/1361-6544/ac5463","publication_status":"published","publication_identifier":{"issn":["0951-7715","1361-6544"]},"citation":{"short":"S. von der Gracht, E. Nijholt, B. Rink, Nonlinearity 35 (2022) 2073–2120.","bibtex":"@article{von der Gracht_Nijholt_Rink_2022, title={Amplified steady state bifurcations in feedforward networks}, volume={35}, DOI={10.1088/1361-6544/ac5463}, number={4}, journal={Nonlinearity}, publisher={IOP Publishing}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2022}, pages={2073–2120} }","mla":"von der Gracht, Sören, et al. “Amplified Steady State Bifurcations in Feedforward Networks.” Nonlinearity, vol. 35, no. 4, IOP Publishing, 2022, pp. 2073–120, doi:10.1088/1361-6544/ac5463.","apa":"von der Gracht, S., Nijholt, E., & Rink, B. (2022). Amplified steady state bifurcations in feedforward networks. Nonlinearity, 35(4), 2073–2120. https://doi.org/10.1088/1361-6544/ac5463","ama":"von der Gracht S, Nijholt E, Rink B. Amplified steady state bifurcations in feedforward networks. Nonlinearity. 2022;35(4):2073-2120. doi:10.1088/1361-6544/ac5463","ieee":"S. von der Gracht, E. Nijholt, and B. Rink, “Amplified steady state bifurcations in feedforward networks,” Nonlinearity, vol. 35, no. 4, pp. 2073–2120, 2022, doi: 10.1088/1361-6544/ac5463.","chicago":"Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Amplified Steady State Bifurcations in Feedforward Networks.” Nonlinearity 35, no. 4 (2022): 2073–2120. https://doi.org/10.1088/1361-6544/ac5463."},"page":"2073-2120","intvolume":" 35","_id":"33264","user_id":"97359","extern":"1","type":"journal_article","status":"public"},{"publication_identifier":{"issn":["1435-9855"]},"publication_status":"published","intvolume":" 24","page":"851-923","citation":{"ama":"Guedes Bonthonneau Y, Weich T. Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. Journal of the European Mathematical Society. 2022;24(3):851-923. doi:10.4171/jems/1103","ieee":"Y. Guedes Bonthonneau and T. Weich, “Ruelle–Pollicott resonances for manifolds with hyperbolic cusps,” Journal of the European Mathematical Society, vol. 24, no. 3, pp. 851–923, 2022, doi: 10.4171/jems/1103.","chicago":"Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances for Manifolds with Hyperbolic Cusps.” Journal of the European Mathematical Society 24, no. 3 (2022): 851–923. https://doi.org/10.4171/jems/1103.","mla":"Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances for Manifolds with Hyperbolic Cusps.” Journal of the European Mathematical Society, vol. 24, no. 3, European Mathematical Society - EMS - Publishing House GmbH, 2022, pp. 851–923, doi:10.4171/jems/1103.","short":"Y. Guedes Bonthonneau, T. Weich, Journal of the European Mathematical Society 24 (2022) 851–923.","bibtex":"@article{Guedes Bonthonneau_Weich_2022, title={Ruelle–Pollicott resonances for manifolds with hyperbolic cusps}, volume={24}, DOI={10.4171/jems/1103}, number={3}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Guedes Bonthonneau, Yannick and Weich, Tobias}, year={2022}, pages={851–923} }","apa":"Guedes Bonthonneau, Y., & Weich, T. (2022). Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. Journal of the European Mathematical Society, 24(3), 851–923. https://doi.org/10.4171/jems/1103"},"date_updated":"2023-01-06T08:47:35Z","volume":24,"author":[{"first_name":"Yannick","full_name":"Guedes Bonthonneau, Yannick","last_name":"Guedes Bonthonneau"},{"full_name":"Weich, Tobias","id":"49178","last_name":"Weich","orcid":"0000-0002-9648-6919","first_name":"Tobias"}],"doi":"10.4171/jems/1103","type":"journal_article","status":"public","_id":"35306","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"user_id":"49178","issue":"3","year":"2022","publisher":"European Mathematical Society - EMS - Publishing House GmbH","date_created":"2023-01-05T16:23:34Z","title":"Ruelle–Pollicott resonances for manifolds with hyperbolic cusps","publication":"Journal of the European Mathematical Society","keyword":["Applied Mathematics","General Mathematics"],"language":[{"iso":"eng"}]},{"year":"2022","citation":{"apa":"Hesse, K., & Le Gia, Q. T. (2022). L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. Journal of Computational and Applied Mathematics, 408, Article 114118. https://doi.org/10.1016/j.cam.2022.114118","bibtex":"@article{Hesse_Le Gia_2022, title={L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data}, volume={408}, DOI={10.1016/j.cam.2022.114118}, number={114118}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier BV}, author={Hesse, Kerstin and Le Gia, Quoc Thong}, year={2022} }","mla":"Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.” Journal of Computational and Applied Mathematics, vol. 408, 114118, Elsevier BV, 2022, doi:10.1016/j.cam.2022.114118.","short":"K. Hesse, Q.T. Le Gia, Journal of Computational and Applied Mathematics 408 (2022).","ama":"Hesse K, Le Gia QT. L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. Journal of Computational and Applied Mathematics. 2022;408. doi:10.1016/j.cam.2022.114118","ieee":"K. Hesse and Q. T. Le Gia, “L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data,” Journal of Computational and Applied Mathematics, vol. 408, Art. no. 114118, 2022, doi: 10.1016/j.cam.2022.114118.","chicago":"Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.” Journal of Computational and Applied Mathematics 408 (2022). https://doi.org/10.1016/j.cam.2022.114118."},"intvolume":" 408","publication_status":"published","publication_identifier":{"issn":["0377-0427"]},"title":"L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data","doi":"10.1016/j.cam.2022.114118","date_updated":"2023-01-09T08:23:56Z","publisher":"Elsevier BV","date_created":"2022-12-20T17:37:16Z","author":[{"first_name":"Kerstin","last_name":"Hesse","orcid":"0000-0003-4125-1941","full_name":"Hesse, Kerstin","id":"42608"},{"full_name":"Le Gia, Quoc Thong","last_name":"Le Gia","first_name":"Quoc Thong"}],"volume":408,"status":"public","type":"journal_article","publication":"Journal of Computational and Applied Mathematics","article_number":"114118","keyword":["Applied Mathematics","Computational Mathematics"],"language":[{"iso":"eng"}],"_id":"34633","user_id":"14931","department":[{"_id":"10"}]},{"year":"2022","quality_controlled":"1","title":"Operating window and flexibility of a lab-scale methanation plant","publisher":"Elsevier BV","date_created":"2023-10-04T14:15:40Z","publication":"Chemical Engineering Science","keyword":["Applied Mathematics","Industrial and Manufacturing Engineering","General Chemical Engineering","General Chemistry"],"language":[{"iso":"eng"}],"citation":{"chicago":"Herrmann, Felix, Marcus Grünewald, Tobias Meijer, Ulrich Gardemann, Lukas Feierabend, and Julia Riese. “Operating Window and Flexibility of a Lab-Scale Methanation Plant.” Chemical Engineering Science 254 (2022). https://doi.org/10.1016/j.ces.2022.117632.","ieee":"F. Herrmann, M. Grünewald, T. Meijer, U. Gardemann, L. Feierabend, and J. Riese, “Operating window and flexibility of a lab-scale methanation plant,” Chemical Engineering Science, vol. 254, Art. no. 117632, 2022, doi: 10.1016/j.ces.2022.117632.","mla":"Herrmann, Felix, et al. “Operating Window and Flexibility of a Lab-Scale Methanation Plant.” Chemical Engineering Science, vol. 254, 117632, Elsevier BV, 2022, doi:10.1016/j.ces.2022.117632.","short":"F. Herrmann, M. Grünewald, T. Meijer, U. Gardemann, L. Feierabend, J. Riese, Chemical Engineering Science 254 (2022).","bibtex":"@article{Herrmann_Grünewald_Meijer_Gardemann_Feierabend_Riese_2022, title={Operating window and flexibility of a lab-scale methanation plant}, volume={254}, DOI={10.1016/j.ces.2022.117632}, number={117632}, journal={Chemical Engineering Science}, publisher={Elsevier BV}, author={Herrmann, Felix and Grünewald, Marcus and Meijer, Tobias and Gardemann, Ulrich and Feierabend, Lukas and Riese, Julia}, year={2022} }","ama":"Herrmann F, Grünewald M, Meijer T, Gardemann U, Feierabend L, Riese J. Operating window and flexibility of a lab-scale methanation plant. Chemical Engineering Science. 2022;254. doi:10.1016/j.ces.2022.117632","apa":"Herrmann, F., Grünewald, M., Meijer, T., Gardemann, U., Feierabend, L., & Riese, J. (2022). Operating window and flexibility of a lab-scale methanation plant. Chemical Engineering Science, 254, Article 117632. https://doi.org/10.1016/j.ces.2022.117632"},"intvolume":" 254","publication_status":"published","publication_identifier":{"issn":["0009-2509"]},"doi":"10.1016/j.ces.2022.117632","date_updated":"2024-03-08T11:39:03Z","author":[{"full_name":"Herrmann, Felix","last_name":"Herrmann","first_name":"Felix"},{"first_name":"Marcus","last_name":"Grünewald","full_name":"Grünewald, Marcus"},{"full_name":"Meijer, Tobias","last_name":"Meijer","first_name":"Tobias"},{"first_name":"Ulrich","full_name":"Gardemann, Ulrich","last_name":"Gardemann"},{"first_name":"Lukas","last_name":"Feierabend","full_name":"Feierabend, Lukas"},{"first_name":"Julia","id":"101499","full_name":"Riese, Julia","orcid":"0000-0002-3053-0534","last_name":"Riese"}],"volume":254,"status":"public","type":"journal_article","article_number":"117632","extern":"1","_id":"47562","user_id":"101499"},{"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Modeling and Simulation"],"abstract":[{"lang":"eng","text":" We introduce a new phase field model for tumor growth where viscoelastic effects are taken into account. The model is derived from basic thermodynamical principles and consists of a convected Cahn–Hilliard equation with source terms for the tumor cells and a convected reaction–diffusion equation with boundary supply for the nutrient. Chemotactic terms, which are essential for the invasive behavior of tumors, are taken into account. The model is completed by a viscoelastic system consisting of the Navier–Stokes equation for the hydrodynamic quantities, and a general constitutive equation with stress relaxation for the left Cauchy–Green tensor associated with the elastic part of the total mechanical response of the viscoelastic material. For a specific choice of the elastic energy density and with an additional dissipative term accounting for stress diffusion, we prove existence of global-in-time weak solutions of the viscoelastic model for tumor growth in two space dimensions [Formula: see text] by the passage to the limit in a fully-discrete finite element scheme where a CFL condition, i.e. [Formula: see text], is required. Moreover, in arbitrary dimensions [Formula: see text], we show stability and existence of solutions for the fully-discrete finite element scheme, where positive definiteness of the discrete Cauchy–Green tensor is proved with a regularization technique that was first introduced by Barrett and Boyaval [Existence and approximation of a (regularized) Oldroyd-B model, Math. Models Methods Appl. Sci. 21 (2011) 1783–1837]. After that, we improve the regularity results in arbitrary dimensions [Formula: see text] and in two dimensions [Formula: see text], where a CFL condition is required. Then, in two dimensions [Formula: see text], we pass to the limit in the discretization parameters and show that subsequences of discrete solutions converge to a global-in-time weak solution. Finally, we present numerical results in two dimensions [Formula: see text]. "}],"publication":"Mathematical Models and Methods in Applied Sciences","title":"Viscoelastic Cahn–Hilliard models for tumor growth","date_created":"2023-07-10T11:47:27Z","publisher":"World Scientific Pub Co Pte Ltd","year":"2022","issue":"13","department":[{"_id":"841"}],"user_id":"100441","_id":"45970","status":"public","type":"journal_article","doi":"10.1142/s0218202522500634","volume":32,"author":[{"first_name":"Harald","last_name":"Garcke","full_name":"Garcke, Harald"},{"first_name":"Balázs","id":"100441","full_name":"Kovács, Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács"},{"last_name":"Trautwein","full_name":"Trautwein, Dennis","first_name":"Dennis"}],"date_updated":"2024-04-03T09:15:35Z","intvolume":" 32","page":"2673-2758","citation":{"short":"H. Garcke, B. Kovács, D. Trautwein, Mathematical Models and Methods in Applied Sciences 32 (2022) 2673–2758.","mla":"Garcke, Harald, et al. “Viscoelastic Cahn–Hilliard Models for Tumor Growth.” Mathematical Models and Methods in Applied Sciences, vol. 32, no. 13, World Scientific Pub Co Pte Ltd, 2022, pp. 2673–758, doi:10.1142/s0218202522500634.","bibtex":"@article{Garcke_Kovács_Trautwein_2022, title={Viscoelastic Cahn–Hilliard models for tumor growth}, volume={32}, DOI={10.1142/s0218202522500634}, number={13}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Garcke, Harald and Kovács, Balázs and Trautwein, Dennis}, year={2022}, pages={2673–2758} }","apa":"Garcke, H., Kovács, B., & Trautwein, D. (2022). Viscoelastic Cahn–Hilliard models for tumor growth. Mathematical Models and Methods in Applied Sciences, 32(13), 2673–2758. https://doi.org/10.1142/s0218202522500634","ama":"Garcke H, Kovács B, Trautwein D. Viscoelastic Cahn–Hilliard models for tumor growth. Mathematical Models and Methods in Applied Sciences. 2022;32(13):2673-2758. doi:10.1142/s0218202522500634","chicago":"Garcke, Harald, Balázs Kovács, and Dennis Trautwein. “Viscoelastic Cahn–Hilliard Models for Tumor Growth.” Mathematical Models and Methods in Applied Sciences 32, no. 13 (2022): 2673–2758. https://doi.org/10.1142/s0218202522500634.","ieee":"H. Garcke, B. Kovács, and D. Trautwein, “Viscoelastic Cahn–Hilliard models for tumor growth,” Mathematical Models and Methods in Applied Sciences, vol. 32, no. 13, pp. 2673–2758, 2022, doi: 10.1142/s0218202522500634."},"publication_identifier":{"issn":["0218-2025","1793-6314"]},"publication_status":"published"}]