[{"article_number":"26","citation":{"apa":"Stinner, C., & Winkler, M. (2024). A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. Journal of Evolution Equations, 24(2), Article 26. https://doi.org/10.1007/s00028-024-00954-x","bibtex":"@article{Stinner_Winkler_2024, title={A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects}, volume={24}, DOI={10.1007/s00028-024-00954-x}, number={226}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Stinner, Christian and Winkler, Michael}, year={2024} }","ama":"Stinner C, Winkler M. A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. Journal of Evolution Equations. 2024;24(2). doi:10.1007/s00028-024-00954-x","chicago":"Stinner, Christian, and Michael Winkler. “A Critical Exponent in a Quasilinear Keller–Segel System with Arbitrarily Fast Decaying Diffusivities Accounting for Volume-Filling Effects.” Journal of Evolution Equations 24, no. 2 (2024). https://doi.org/10.1007/s00028-024-00954-x.","mla":"Stinner, Christian, and Michael Winkler. “A Critical Exponent in a Quasilinear Keller–Segel System with Arbitrarily Fast Decaying Diffusivities Accounting for Volume-Filling Effects.” Journal of Evolution Equations, vol. 24, no. 2, 26, Springer Science and Business Media LLC, 2024, doi:10.1007/s00028-024-00954-x.","ieee":"C. Stinner and M. Winkler, “A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects,” Journal of Evolution Equations, vol. 24, no. 2, Art. no. 26, 2024, doi: 10.1007/s00028-024-00954-x.","short":"C. Stinner, M. Winkler, Journal of Evolution Equations 24 (2024)."},"title":"A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects","date_created":"2025-12-18T19:06:36Z","volume":24,"publication_identifier":{"issn":["1424-3199","1424-3202"]},"type":"journal_article","intvolume":" 24","year":"2024","publication_status":"published","author":[{"last_name":"Stinner","first_name":"Christian","full_name":"Stinner, Christian"},{"id":"31496","first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler"}],"_id":"63257","issue":"2","doi":"10.1007/s00028-024-00954-x","publisher":"Springer Science and Business Media LLC","abstract":[{"lang":"eng","text":"AbstractThe quasilinear Keller–Segel system$$\\begin{aligned} \\left\\{ \\begin{array}{l} u_t=\\nabla \\cdot (D(u)\\nabla u) - \\nabla \\cdot (S(u)\\nabla v), \\\\ v_t=\\Delta v-v+u, \\end{array}\\right. \\end{aligned}$$ut=∇·(D(u)∇u)-∇·(S(u)∇v),vt=Δv-v+u,endowed with homogeneous Neumann boundary conditions is considered in a bounded domain$$\\Omega \\subset {\\mathbb {R}}^n$$Ω⊂Rn,$$n \\ge 3$$n≥3, with smooth boundary for sufficiently regular functionsDandSsatisfying$$D>0$$D>0on$$[0,\\infty )$$[0,∞),$$S>0$$S>0on$$(0,\\infty )$$(0,∞)and$$S(0)=0$$S(0)=0. On the one hand, it is shown that if$$\\frac{S}{D}$$SDsatisfies the subcritical growth condition$$\\begin{aligned} \\frac{S(s)}{D(s)} \\le C s^\\alpha \\qquad \\text{ for } \\text{ all } s\\ge 1 \\qquad \\text{ with } \\text{ some } \\alpha < \\frac{2}{n} \\end{aligned}$$S(s)D(s)≤Csαforalls≥1withsomeα<2nand$$C>0$$C>0, then for any sufficiently regular initial data there exists a global weak energy solution such that$${ \\mathrm{{ess}}} \\sup _{t>0} \\Vert u(t) \\Vert _{L^p(\\Omega )}<\\infty $$esssupt>0‖u(t)‖Lp(Ω)<∞for some$$p > \\frac{2n}{n+2}$$p>2nn+2. On the other hand, if$$\\frac{S}{D}$$SDsatisfies the supercritical growth condition$$\\begin{aligned} \\frac{S(s)}{D(s)} \\ge c s^\\alpha \\qquad \\text{ for } \\text{ all } s\\ge 1 \\qquad \\text{ with } \\text{ some } \\alpha > \\frac{2}{n} \\end{aligned}$$S(s)D(s)≥csαforalls≥1withsomeα>2nand$$c>0$$c>0, then the nonexistence of a global weak energy solution having the boundedness property stated above is shown for some initial data in the radial setting. This establishes some criticality of the value$$\\alpha = \\frac{2}{n}$$α=2nfor$$n \\ge 3$$n≥3, without any additional assumption on the behavior ofD(s) as$$s \\rightarrow \\infty $$s→∞, in particular without requiring any algebraic lower bound forD. When applied to the Keller–Segel system with volume-filling effect for probability distribution functions of the type$$Q(s) = \\exp (-s^\\beta )$$Q(s)=exp(-sβ),$$s \\ge 0$$s≥0, for global solvability the exponent$$\\beta = \\frac{n-2}{n}$$β=n-2nis seen to be critical."}],"publication":"Journal of Evolution Equations","status":"public","date_updated":"2025-12-18T20:14:21Z","language":[{"iso":"eng"}],"user_id":"31496"},{"issue":"12","doi":"10.1088/1361-6544/ad871a","publisher":"IOP Publishing","abstract":[{"lang":"eng","text":"Abstract\r\n The Neumann problem for the Keller-Segel system \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 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 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 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 −\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n ∫\r\n Ω\r\n \r\n u\r\n d\r\n x\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 in n-dimensional balls Ω with \r\n \r\n \r\n \r\n n\r\n ⩾\r\n 2\r\n \r\n \r\n , with suitably regular and radially symmetric, radially nonincreasing initial data u\r\n 0. The functions D and S are only assumed to belong to \r\n \r\n \r\n \r\n \r\n C\r\n 2\r\n \r\n (\r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n )\r\n \r\n \r\n and to satisfy D > 0 and \r\n \r\n \r\n \r\n S\r\n ⩾\r\n 0\r\n \r\n \r\n on \r\n \r\n \r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n \r\n as well as \r\n \r\n \r\n \r\n S\r\n (\r\n 0\r\n )\r\n =\r\n 0\r\n \r\n \r\n ; in particular, diffusivities with arbitrarily fast decay are included.\r\n In this general context, it is shown that it is merely the asymptotic behavior as \r\n \r\n \r\n \r\n ξ\r\n →\r\n ∞\r\n \r\n \r\n of the expression \r\n \r\n \r\n \r\n \r\n \r\n \r\n I\r\n \r\n (\r\n ξ\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 \r\n \r\n ξ\r\n \r\n 2\r\n n\r\n \r\n \r\n D\r\n \r\n (\r\n ξ\r\n )\r\n \r\n \r\n \r\n ,\r\n \r\n ξ\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n which decides about the occurrence of blow-up: Namely, it is seen that\r\n\r\n \r\n •\r\n if \r\n \r\n \r\n \r\n \r\n lim\r\n \r\n ξ\r\n →\r\n ∞\r\n \r\n \r\n I\r\n (\r\n ξ\r\n )\r\n =\r\n 0\r\n \r\n \r\n , then any such solution is global and bounded, that\r\n \r\n \r\n •\r\n if \r\n \r\n \r\n \r\n \r\n lim sup\r\n \r\n ξ\r\n →\r\n ∞\r\n \r\n \r\n I\r\n (\r\n ξ\r\n )\r\n <\r\n ∞\r\n \r\n \r\n and \r\n \r\n \r\n \r\n \r\n ∫\r\n Ω\r\n \r\n \r\n u\r\n 0\r\n \r\n \r\n \r\n is suitably small, then the corresponding solution is global and bounded, and that\r\n \r\n \r\n •\r\n if \r\n \r\n \r\n \r\n \r\n lim inf\r\n \r\n ξ\r\n →\r\n ∞\r\n \r\n \r\n I\r\n (\r\n ξ\r\n )\r\n >\r\n 0\r\n \r\n \r\n , then at each appropriately large mass level m, there exist radial initial data u\r\n 0 such that \r\n \r\n \r\n \r\n \r\n ∫\r\n Ω\r\n \r\n \r\n u\r\n 0\r\n \r\n =\r\n m\r\n \r\n \r\n , and that the associated solution blows up either in finite or in infinite time.\r\n \r\n \r\n \r\n This especially reveals the presence of critical mass phenomena whenever \r\n \r\n \r\n \r\n \r\n lim\r\n \r\n ξ\r\n →\r\n ∞\r\n \r\n \r\n I\r\n (\r\n ξ\r\n )\r\n ∈\r\n (\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n \r\n exists."}],"publication":"Nonlinearity","status":"public","user_id":"31496","language":[{"iso":"eng"}],"date_updated":"2025-12-18T20:13:49Z","title":"Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture","article_number":"125006","citation":{"short":"M. Ding, M. Winkler, Nonlinearity 37 (2024).","ieee":"M. Ding and M. Winkler, “Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture,” Nonlinearity, vol. 37, no. 12, Art. no. 125006, 2024, doi: 10.1088/1361-6544/ad871a.","mla":"Ding, Mengyao, and Michael Winkler. “Radial Blow-up in Quasilinear Keller-Segel Systems: Approaching the Full Picture.” Nonlinearity, vol. 37, no. 12, 125006, IOP Publishing, 2024, doi:10.1088/1361-6544/ad871a.","chicago":"Ding, Mengyao, and Michael Winkler. “Radial Blow-up in Quasilinear Keller-Segel Systems: Approaching the Full Picture.” Nonlinearity 37, no. 12 (2024). https://doi.org/10.1088/1361-6544/ad871a.","bibtex":"@article{Ding_Winkler_2024, title={Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture}, volume={37}, DOI={10.1088/1361-6544/ad871a}, number={12125006}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Ding, Mengyao and Winkler, Michael}, year={2024} }","apa":"Ding, M., & Winkler, M. (2024). Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture. Nonlinearity, 37(12), Article 125006. https://doi.org/10.1088/1361-6544/ad871a","ama":"Ding M, Winkler M. Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture. Nonlinearity. 2024;37(12). doi:10.1088/1361-6544/ad871a"},"volume":37,"date_created":"2025-12-18T19:04:45Z","publication_identifier":{"issn":["0951-7715","1361-6544"]},"type":"journal_article","publication_status":"published","year":"2024","intvolume":" 37","author":[{"last_name":"Ding","first_name":"Mengyao","full_name":"Ding, Mengyao"},{"id":"31496","first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler"}],"_id":"63253"},{"_id":"63254","author":[{"full_name":"Fuest, Mario","first_name":"Mario","last_name":"Fuest"},{"id":"31496","last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"type":"journal_article","year":"2024","publication_status":"published","intvolume":" 26","publication_identifier":{"issn":["1422-6928","1422-6952"]},"title":"Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing","article_number":"60","citation":{"ieee":"M. Fuest and M. Winkler, “Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing,” Journal of Mathematical Fluid Mechanics, vol. 26, no. 4, Art. no. 60, 2024, doi: 10.1007/s00021-024-00899-8.","short":"M. Fuest, M. Winkler, Journal of Mathematical Fluid Mechanics 26 (2024).","mla":"Fuest, Mario, and Michael Winkler. “Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing.” Journal of Mathematical Fluid Mechanics, vol. 26, no. 4, 60, Springer Science and Business Media LLC, 2024, doi:10.1007/s00021-024-00899-8.","ama":"Fuest M, Winkler M. Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing. Journal of Mathematical Fluid Mechanics. 2024;26(4). doi:10.1007/s00021-024-00899-8","bibtex":"@article{Fuest_Winkler_2024, title={Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing}, volume={26}, DOI={10.1007/s00021-024-00899-8}, number={460}, journal={Journal of Mathematical Fluid Mechanics}, publisher={Springer Science and Business Media LLC}, author={Fuest, Mario and Winkler, Michael}, year={2024} }","apa":"Fuest, M., & Winkler, M. (2024). Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing. Journal of Mathematical Fluid Mechanics, 26(4), Article 60. https://doi.org/10.1007/s00021-024-00899-8","chicago":"Fuest, Mario, and Michael Winkler. “Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing.” Journal of Mathematical Fluid Mechanics 26, no. 4 (2024). https://doi.org/10.1007/s00021-024-00899-8."},"volume":26,"date_created":"2025-12-18T19:05:09Z","language":[{"iso":"eng"}],"user_id":"31496","date_updated":"2025-12-18T20:13:58Z","publication":"Journal of Mathematical Fluid Mechanics","status":"public","publisher":"Springer Science and Business Media LLC","abstract":[{"text":"AbstractThe chemotaxis-Navier–Stokes system $$\\begin{aligned} \\left\\{ \\begin{array}{rcl} n_t+u\\cdot \\nabla n & =& \\Delta \\big (n c^{-\\alpha } \\big ), \\\\ c_t+ u\\cdot \\nabla c & =& \\Delta c -nc,\\\\ u_t + (u\\cdot \\nabla ) u & =& \\Delta u+\\nabla P + n\\nabla \\Phi , \\qquad \\nabla \\cdot u=0, \\end{array} \\right. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n n\r\n t\r\n \r\n +\r\n u\r\n ·\r\n ∇\r\n n\r\n \r\n \r\n \r\n =\r\n \r\n \r\n \r\n Δ\r\n \r\n (\r\n \r\n n\r\n \r\n c\r\n \r\n -\r\n α\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 c\r\n t\r\n \r\n +\r\n u\r\n ·\r\n ∇\r\n c\r\n \r\n \r\n \r\n =\r\n \r\n \r\n \r\n Δ\r\n c\r\n -\r\n n\r\n c\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 u\r\n ·\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 Δ\r\n u\r\n +\r\n ∇\r\n P\r\n +\r\n n\r\n ∇\r\n Φ\r\n ,\r\n \r\n ∇\r\n ·\r\n u\r\n =\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 modelling the behavior of aerobic bacteria in a fluid drop, is considered in a smoothly bounded domain $$\\Omega \\subset \\mathbb R^2$$\r\n \r\n Ω\r\n ⊂\r\n \r\n R\r\n 2\r\n \r\n \r\n . For all $$\\alpha > 0$$\r\n \r\n α\r\n >\r\n 0\r\n \r\n and all sufficiently regular $$\\Phi $$\r\n Φ\r\n , we construct global classical solutions and thereby extend recent results for the fluid-free analogue to the system coupled to a Navier–Stokes system. As a crucial new challenge, our analysis requires a priori estimates for u at a point in the proof when knowledge about n is essentially limited to the observation that the mass is conserved. To overcome this problem, we also prove new uniform-in-time $$L^p$$\r\n \r\n L\r\n p\r\n \r\n estimates for solutions to the inhomogeneous Navier–Stokes equations merely depending on the space-time $$L^2$$\r\n \r\n L\r\n 2\r\n \r\n norm of the force term raised to an arbitrary small power.","lang":"eng"}],"issue":"4","doi":"10.1007/s00021-024-00899-8"},{"publisher":"Wiley","abstract":[{"lang":"eng","text":"AbstractIn a smoothly bounded two‐dimensional domain and for a given nondecreasing positive unbounded , for each and the inequality\r\nis shown to hold for any positive fulfilling\r\nThis is thereafter applied to nonglobal solutions of the Keller–Segel system coupled to the incompressible Navier–Stokes equations through transport and buoyancy, and it is seen that in any such blow‐up event the corresponding population density cannot remain uniformly integrable over near its explosion time."}],"issue":"3","doi":"10.1112/jlms.12885","date_updated":"2025-12-18T20:14:39Z","language":[{"iso":"eng"}],"user_id":"31496","publication":"Journal of the London Mathematical Society","status":"public","publication_identifier":{"issn":["0024-6107","1469-7750"]},"citation":{"chicago":"Wang, Yulan, and Michael Winkler. “An Interpolation Inequality Involving LlogL$L\\log L$ Spaces and Application to the Characterization of Blow‐up Behavior in a Two‐dimensional Keller–Segel–Navier–Stokes System.” Journal of the London Mathematical Society 109, no. 3 (2024). https://doi.org/10.1112/jlms.12885.","ama":"Wang Y, Winkler M. An interpolation inequality involving LlogL$L\\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system. Journal of the London Mathematical Society. 2024;109(3). doi:10.1112/jlms.12885","bibtex":"@article{Wang_Winkler_2024, title={An interpolation inequality involving LlogL$L\\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system}, volume={109}, DOI={10.1112/jlms.12885}, number={3e12885}, journal={Journal of the London Mathematical Society}, publisher={Wiley}, author={Wang, Yulan and Winkler, Michael}, year={2024} }","apa":"Wang, Y., & Winkler, M. (2024). An interpolation inequality involving LlogL$L\\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system. Journal of the London Mathematical Society, 109(3), Article e12885. https://doi.org/10.1112/jlms.12885","mla":"Wang, Yulan, and Michael Winkler. “An Interpolation Inequality Involving LlogL$L\\log L$ Spaces and Application to the Characterization of Blow‐up Behavior in a Two‐dimensional Keller–Segel–Navier–Stokes System.” Journal of the London Mathematical Society, vol. 109, no. 3, e12885, Wiley, 2024, doi:10.1112/jlms.12885.","short":"Y. Wang, M. Winkler, Journal of the London Mathematical Society 109 (2024).","ieee":"Y. Wang and M. Winkler, “An interpolation inequality involving LlogL$L\\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system,” Journal of the London Mathematical Society, vol. 109, no. 3, Art. no. e12885, 2024, doi: 10.1112/jlms.12885."},"article_number":"e12885","title":"An interpolation inequality involving LlogL$L\\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system","date_created":"2025-12-18T19:07:25Z","volume":109,"_id":"63259","author":[{"last_name":"Wang","first_name":"Yulan","full_name":"Wang, Yulan"},{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler","id":"31496"}],"type":"journal_article","year":"2024","intvolume":" 109","publication_status":"published"},{"publisher":"American Mathematical Society (AMS)","abstract":[{"text":"

This manuscript studies a no-flux initial-boundary value problem for a four-component chemotaxis system that has been proposed as a model for the response of cytotoxic T-lymphocytes to a solid tumor. In contrast to classical Keller-Segel type situations focusing on two-component interplay of chemotaxing populations with a signal directly secreted by themselves, the presently considered system accounts for a certain indirect mechanism of attractant evolution. Despite the presence of a zero-order exciting nonlinearity of quadratic type that forms a core mathematical feature of the model, the manuscript asserts the global existence of classical solutions for initial data of arbitrary size in three-dimensional domains.

","lang":"eng"}],"issue":"10","doi":"10.1090/proc/16867","date_updated":"2025-12-18T20:14:30Z","user_id":"31496","language":[{"iso":"eng"}],"publication":"Proceedings of the American Mathematical Society","status":"public","publication_identifier":{"issn":["0002-9939","1088-6826"]},"page":"4325-4341","citation":{"mla":"Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Chemotaxis System Modeling Immune Response to a Solid Tumor.” Proceedings of the American Mathematical Society, vol. 152, no. 10, American Mathematical Society (AMS), 2024, pp. 4325–41, doi:10.1090/proc/16867.","ieee":"Y. Tao and M. Winkler, “Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor,” Proceedings of the American Mathematical Society, vol. 152, no. 10, pp. 4325–4341, 2024, doi: 10.1090/proc/16867.","short":"Y. Tao, M. Winkler, Proceedings of the American Mathematical Society 152 (2024) 4325–4341.","bibtex":"@article{Tao_Winkler_2024, title={Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor}, volume={152}, DOI={10.1090/proc/16867}, number={10}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Tao, Youshan and Winkler, Michael}, year={2024}, pages={4325–4341} }","apa":"Tao, Y., & Winkler, M. (2024). Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor. Proceedings of the American Mathematical Society, 152(10), 4325–4341. https://doi.org/10.1090/proc/16867","ama":"Tao Y, Winkler M. Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor. Proceedings of the American Mathematical Society. 2024;152(10):4325-4341. doi:10.1090/proc/16867","chicago":"Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Chemotaxis System Modeling Immune Response to a Solid Tumor.” Proceedings of the American Mathematical Society 152, no. 10 (2024): 4325–41. https://doi.org/10.1090/proc/16867."},"title":"Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor","date_created":"2025-12-18T19:07:03Z","volume":152,"_id":"63258","author":[{"full_name":"Tao, Youshan","first_name":"Youshan","last_name":"Tao"},{"id":"31496","last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"type":"journal_article","year":"2024","intvolume":" 152","publication_status":"published"},{"_id":"63256","author":[{"last_name":"Nikolić","first_name":"Vanja","full_name":"Nikolić, Vanja"},{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael","id":"31496"}],"user_id":"31496","language":[{"iso":"eng"}],"date_updated":"2025-12-18T20:14:12Z","status":"public","publication_status":"published","intvolume":" 247","year":"2024","publication":"Nonlinear Analysis","type":"journal_article","publication_identifier":{"issn":["0362-546X"]},"publisher":"Elsevier BV","volume":247,"doi":"10.1016/j.na.2024.113600","date_created":"2025-12-18T19:06:09Z","title":"L∞ blow-up in the Jordan–Moore–Gibson–Thompson equation","citation":{"ieee":"V. Nikolić and M. Winkler, “<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si15.svg\" display=\"inline\" id=\"d1e25\"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msup></mml:math> blow-up in the Jordan–Moore–Gibson–Thompson equation,” Nonlinear Analysis, vol. 247, Art. no. 113600, 2024, doi: 10.1016/j.na.2024.113600.","short":"V. Nikolić, M. Winkler, Nonlinear Analysis 247 (2024).","mla":"Nikolić, Vanja, and Michael Winkler. “<mml:Math Xmlns:Mml=\"http://Www.W3.Org/1998/Math/MathML\" Altimg=\"si15.Svg\" Display=\"inline\" Id=\"d1e25\"><mml:Msup><mml:Mrow><mml:Mi>L</Mml:Mi></Mml:Mrow><mml:Mrow><mml:Mi>∞</Mml:Mi></Mml:Mrow></Mml:Msup></Mml:Math> Blow-up in the Jordan–Moore–Gibson–Thompson Equation.” Nonlinear Analysis, vol. 247, 113600, Elsevier BV, 2024, doi:10.1016/j.na.2024.113600.","bibtex":"@article{Nikolić_Winkler_2024, title={<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si15.svg\" display=\"inline\" id=\"d1e25\"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msup></mml:math> blow-up in the Jordan–Moore–Gibson–Thompson equation}, volume={247}, DOI={10.1016/j.na.2024.113600}, number={113600}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Nikolić, Vanja and Winkler, Michael}, year={2024} }","ama":"Nikolić V, Winkler M. <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si15.svg\" display=\"inline\" id=\"d1e25\"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msup></mml:math> blow-up in the Jordan–Moore–Gibson–Thompson equation. Nonlinear Analysis. 2024;247. doi:10.1016/j.na.2024.113600","apa":"Nikolić, V., & Winkler, M. (2024). <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si15.svg\" display=\"inline\" id=\"d1e25\"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msup></mml:math> blow-up in the Jordan–Moore–Gibson–Thompson equation. Nonlinear Analysis, 247, Article 113600. https://doi.org/10.1016/j.na.2024.113600","chicago":"Nikolić, Vanja, and Michael Winkler. “<mml:Math Xmlns:Mml=\"http://Www.W3.Org/1998/Math/MathML\" Altimg=\"si15.Svg\" Display=\"inline\" Id=\"d1e25\"><mml:Msup><mml:Mrow><mml:Mi>L</Mml:Mi></Mml:Mrow><mml:Mrow><mml:Mi>∞</Mml:Mi></Mml:Mrow></Mml:Msup></Mml:Math> Blow-up in the Jordan–Moore–Gibson–Thompson Equation.” Nonlinear Analysis 247 (2024). https://doi.org/10.1016/j.na.2024.113600."},"article_number":"113600"},{"date_updated":"2025-12-18T20:14:46Z","user_id":"31496","language":[{"iso":"eng"}],"publication":"Mathematische Nachrichten","status":"public","publisher":"Wiley","abstract":[{"lang":"eng","text":"AbstractA no‐flux initial‐boundary value problem for\r\nis considered in a ball , where and .Under the assumption that , it is shown that for each , there exist and a positive with the property that whenever is nonnegative with , the global solutions to () emanating from the initial data have the property that\r\n"}],"issue":"6","doi":"10.1002/mana.202300361","author":[{"full_name":"Wang, Yulan","first_name":"Yulan","last_name":"Wang"},{"id":"31496","full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"_id":"63260","type":"journal_article","publication_status":"published","year":"2024","intvolume":" 297","publication_identifier":{"issn":["0025-584X","1522-2616"]},"page":"2353-2364","citation":{"short":"Y. Wang, M. Winkler, Mathematische Nachrichten 297 (2024) 2353–2364.","ieee":"Y. Wang and M. Winkler, “A singular growth phenomenon in a Keller–Segel–type parabolic system involving density‐suppressed motilities,” Mathematische Nachrichten, vol. 297, no. 6, pp. 2353–2364, 2024, doi: 10.1002/mana.202300361.","mla":"Wang, Yulan, and Michael Winkler. “A Singular Growth Phenomenon in a Keller–Segel–Type Parabolic System Involving Density‐suppressed Motilities.” Mathematische Nachrichten, vol. 297, no. 6, Wiley, 2024, pp. 2353–64, doi:10.1002/mana.202300361.","ama":"Wang Y, Winkler M. A singular growth phenomenon in a Keller–Segel–type parabolic system involving density‐suppressed motilities. Mathematische Nachrichten. 2024;297(6):2353-2364. doi:10.1002/mana.202300361","apa":"Wang, Y., & Winkler, M. (2024). A singular growth phenomenon in a Keller–Segel–type parabolic system involving density‐suppressed motilities. Mathematische Nachrichten, 297(6), 2353–2364. https://doi.org/10.1002/mana.202300361","bibtex":"@article{Wang_Winkler_2024, title={A singular growth phenomenon in a Keller–Segel–type parabolic system involving density‐suppressed motilities}, volume={297}, DOI={10.1002/mana.202300361}, number={6}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Wang, Yulan and Winkler, Michael}, year={2024}, pages={2353–2364} }","chicago":"Wang, Yulan, and Michael Winkler. “A Singular Growth Phenomenon in a Keller–Segel–Type Parabolic System Involving Density‐suppressed Motilities.” Mathematische Nachrichten 297, no. 6 (2024): 2353–64. https://doi.org/10.1002/mana.202300361."},"title":"A singular growth phenomenon in a Keller–Segel–type parabolic system involving density‐suppressed motilities","date_created":"2025-12-18T19:07:48Z","volume":297},{"issue":"1","doi":"10.1007/s11856-024-2618-9","publisher":"Springer Science and Business Media LLC","abstract":[{"lang":"eng","text":"AbstractRadially symmetric global unbounded solutions of the chemotaxis system $$\\left\\{ {\\matrix{{{u_t} = \\nabla \\cdot (D(u)\\nabla u) - \\nabla \\cdot (uS(u)\\nabla v),} \\hfill & {} \\hfill \\cr {0 = \\Delta v - \\mu + u,} \\hfill & {\\mu = {1 \\over {|\\Omega |}}\\int_\\Omega {u,} } \\hfill \\cr } } \\right.$$\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 D\r\n (\r\n u\r\n )\r\n ∇\r\n u\r\n )\r\n −\r\n ∇\r\n ⋅\r\n (\r\n u\r\n S\r\n (\r\n u\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 \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 \r\n ∫\r\n Ω\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 \r\n \r\n are considered in a ball Ω = BR(0) ⊂ ℝn, where n ≥ 3 and R > 0.Under the assumption that D and S suitably generalize the prototypes given by D(ξ) = (ξ + ι)m−1 and S(ξ) = (ξ + 1)−λ−1 for all ξ > 0 and some m ∈ ℝ, λ >0 and ι ≥ 0 fulfilling $$m + \\lambda < 1 - {2 \\over n}$$\r\n m\r\n +\r\n λ\r\n <\r\n 1\r\n −\r\n \r\n 2\r\n n\r\n \r\n , a considerably large set of initial data u0 is found to enforce a complete mass aggregation in infinite time in the sense that for any such u0, an associated Neumann type initial-boundary value problem admits a global classical solution (u, v) satisfying $${1 \\over C} \\cdot {(t + 1)^{{1 \\over \\lambda }}} \\le ||u( \\cdot ,t)|{|_{{L^\\infty }(\\Omega )}} \\le C \\cdot {(t + 1)^{{1 \\over \\lambda }}}\\,\\,\\,{\\rm{for}}\\,\\,{\\rm{all}}\\,\\,t > 0$$\r\n \r\n \r\n 1\r\n C\r\n \r\n \r\n ⋅\r\n \r\n (\r\n t\r\n +\r\n 1\r\n \r\n )\r\n \r\n \r\n \r\n 1\r\n λ\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 (\r\n ⋅\r\n ,\r\n t\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 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 ⋅\r\n \r\n (\r\n t\r\n +\r\n 1\r\n \r\n )\r\n \r\n \r\n \r\n 1\r\n λ\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n f\r\n o\r\n r\r\n \r\n \r\n \r\n \r\n \r\n \r\n a\r\n l\r\n l\r\n \r\n \r\n \r\n \r\n t\r\n >\r\n 0\r\n as well as $$||u( \\cdot \\,,t)|{|_{{L^1}(\\Omega \\backslash {B_{{r_0}}}(0))}} \\to 0\\,\\,\\,{\\rm{as}}\\,\\,t \\to \\infty \\,\\,\\,{\\rm{for}}\\,\\,{\\rm{all}}\\,\\,{r_0} \\in (0,R)$$\r\n |\r\n |\r\n u\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 1\r\n \r\n (\r\n Ω\r\n \\\r\n \r\n B\r\n \r\n \r\n r\r\n 0\r\n \r\n \r\n \r\n (\r\n 0\r\n )\r\n )\r\n \r\n \r\n →\r\n 0\r\n as\r\n t\r\n →\r\n ∞\r\n for all\r\n \r\n r\r\n 0\r\n \r\n ∈\r\n (\r\n 0\r\n ,\r\n R\r\n )\r\n with some C > 0."}],"publication":"Israel Journal of Mathematics","status":"public","date_updated":"2025-12-18T20:14:59Z","user_id":"31496","language":[{"iso":"eng"}],"citation":{"chicago":"Winkler, Michael. “Complete Infinite-Time Mass Aggregation in a Quasilinear Keller–Segel System.” Israel Journal of Mathematics 263, no. 1 (2024): 93–127. https://doi.org/10.1007/s11856-024-2618-9.","bibtex":"@article{Winkler_2024, title={Complete infinite-time mass aggregation in a quasilinear Keller–Segel system}, volume={263}, DOI={10.1007/s11856-024-2618-9}, number={1}, journal={Israel Journal of Mathematics}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2024}, pages={93–127} }","apa":"Winkler, M. (2024). Complete infinite-time mass aggregation in a quasilinear Keller–Segel system. Israel Journal of Mathematics, 263(1), 93–127. https://doi.org/10.1007/s11856-024-2618-9","ama":"Winkler M. Complete infinite-time mass aggregation in a quasilinear Keller–Segel system. Israel Journal of Mathematics. 2024;263(1):93-127. doi:10.1007/s11856-024-2618-9","mla":"Winkler, Michael. “Complete Infinite-Time Mass Aggregation in a Quasilinear Keller–Segel System.” Israel Journal of Mathematics, vol. 263, no. 1, Springer Science and Business Media LLC, 2024, pp. 93–127, doi:10.1007/s11856-024-2618-9.","short":"M. Winkler, Israel Journal of Mathematics 263 (2024) 93–127.","ieee":"M. Winkler, “Complete infinite-time mass aggregation in a quasilinear Keller–Segel system,” Israel Journal of Mathematics, vol. 263, no. 1, pp. 93–127, 2024, doi: 10.1007/s11856-024-2618-9."},"title":"Complete infinite-time mass aggregation in a quasilinear Keller–Segel system","date_created":"2025-12-18T19:08:34Z","volume":263,"publication_identifier":{"issn":["0021-2172","1565-8511"]},"page":"93-127","type":"journal_article","intvolume":" 263","publication_status":"published","year":"2024","_id":"63262","author":[{"id":"31496","last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}]},{"language":[{"iso":"eng"}],"_id":"63263","user_id":"31496","author":[{"id":"31496","full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"date_updated":"2025-12-18T20:15:05Z","intvolume":" 400","status":"public","publication_status":"published","year":"2024","publication":"Journal of Differential Equations","type":"journal_article","page":"423-456","publication_identifier":{"issn":["0022-0396"]},"publisher":"Elsevier BV","doi":"10.1016/j.jde.2024.04.028","volume":400,"date_created":"2025-12-18T19:09:07Z","title":"L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux","citation":{"chicago":"Winkler, Michael. “L∞ Bounds in a Two-Dimensional Doubly Degenerate Nutrient Taxis System with General Cross-Diffusive Flux.” Journal of Differential Equations 400 (2024): 423–56. https://doi.org/10.1016/j.jde.2024.04.028.","ama":"Winkler M. L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux. Journal of Differential Equations. 2024;400:423-456. doi:10.1016/j.jde.2024.04.028","bibtex":"@article{Winkler_2024, title={L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux}, volume={400}, DOI={10.1016/j.jde.2024.04.028}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2024}, pages={423–456} }","apa":"Winkler, M. (2024). L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux. Journal of Differential Equations, 400, 423–456. https://doi.org/10.1016/j.jde.2024.04.028","short":"M. Winkler, Journal of Differential Equations 400 (2024) 423–456.","ieee":"M. Winkler, “L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux,” Journal of Differential Equations, vol. 400, pp. 423–456, 2024, doi: 10.1016/j.jde.2024.04.028.","mla":"Winkler, Michael. “L∞ Bounds in a Two-Dimensional Doubly Degenerate Nutrient Taxis System with General Cross-Diffusive Flux.” Journal of Differential Equations, vol. 400, Elsevier BV, 2024, pp. 423–56, doi:10.1016/j.jde.2024.04.028."}},{"publication_identifier":{"issn":["1094-4087"]},"title":"Integrated, bright broadband, two-colour parametric down-conversion source","article_number":"23945","citation":{"chicago":"Pollmann, René, Franz Roeder, Victor Quiring, Raimund Ricken, Christof Eigner, Benjamin Brecht, and Christine Silberhorn. “Integrated, Bright Broadband, Two-Colour Parametric down-Conversion Source.” Optics Express 32, no. 14 (2024). https://doi.org/10.1364/oe.522549.","bibtex":"@article{Pollmann_Roeder_Quiring_Ricken_Eigner_Brecht_Silberhorn_2024, title={Integrated, bright broadband, two-colour parametric down-conversion source}, volume={32}, DOI={10.1364/oe.522549}, number={1423945}, journal={Optics Express}, publisher={Optica Publishing Group}, author={Pollmann, René and Roeder, Franz and Quiring, Victor and Ricken, Raimund and Eigner, Christof and Brecht, Benjamin and Silberhorn, Christine}, year={2024} }","ama":"Pollmann R, Roeder F, Quiring V, et al. Integrated, bright broadband, two-colour parametric down-conversion source. Optics Express. 2024;32(14). doi:10.1364/oe.522549","apa":"Pollmann, R., Roeder, F., Quiring, V., Ricken, R., Eigner, C., Brecht, B., & Silberhorn, C. (2024). Integrated, bright broadband, two-colour parametric down-conversion source. Optics Express, 32(14), Article 23945. https://doi.org/10.1364/oe.522549","mla":"Pollmann, René, et al. “Integrated, Bright Broadband, Two-Colour Parametric down-Conversion Source.” Optics Express, vol. 32, no. 14, 23945, Optica Publishing Group, 2024, doi:10.1364/oe.522549.","short":"R. Pollmann, F. Roeder, V. Quiring, R. Ricken, C. Eigner, B. Brecht, C. Silberhorn, Optics Express 32 (2024).","ieee":"R. Pollmann et al., “Integrated, bright broadband, two-colour parametric down-conversion source,” Optics Express, vol. 32, no. 14, Art. no. 23945, 2024, doi: 10.1364/oe.522549."},"volume":32,"date_created":"2024-06-19T06:58:17Z","_id":"54815","author":[{"id":"78890","last_name":"Pollmann","full_name":"Pollmann, René","first_name":"René"},{"id":"88149","last_name":"Roeder","full_name":"Roeder, Franz","first_name":"Franz"},{"first_name":"Victor","full_name":"Quiring, Victor","last_name":"Quiring"},{"last_name":"Ricken","first_name":"Raimund","full_name":"Ricken, Raimund"},{"orcid":"https://orcid.org/0000-0002-5693-3083","last_name":"Eigner","full_name":"Eigner, Christof","first_name":"Christof","id":"13244"},{"first_name":"Benjamin","full_name":"Brecht, Benjamin","last_name":"Brecht","orcid":"0000-0003-4140-0556 ","id":"27150"},{"id":"26263","full_name":"Silberhorn, Christine","first_name":"Christine","last_name":"Silberhorn"}],"type":"journal_article","year":"2024","publication_status":"published","intvolume":" 32","department":[{"_id":"15"},{"_id":"623"},{"_id":"288"}],"publisher":"Optica Publishing Group","abstract":[{"text":"Broadband quantum light is a vital resource for quantum metrology and spectroscopy applications such as quantum optical coherence tomography or entangled two photon absorption. For entangled two photon absorption in particular, very high photon flux combined with high time-frequency entanglement is crucial for observing a signal. So far these conditions could be met by using high power lasers driving degenerate, type 0 bulk-crystal spontaneous parametric down conversion (SPDC) sources. This naturally limits the available wavelength ranges and precludes deterministic splitting of the generated output photons. In this work we demonstrate an integrated two-colour SPDC source utilising a group-velocity matched lithium niobate waveguide, reaching both exceptional brightness 1.52⋅106pairssmWGHz and large bandwidth (7.8 THz FWHM) while pumped with a few mW of continuous wave (CW) laser light. By converting a narrow band pump to broadband pulses the created photon pairs show correlation times of Δτ ≈ 120 fs while maintaining the narrow bandwidth Δω\r\n p\r\n  ≪ 1 MHz of the CW pump light, yielding strong time-frequency entanglement. Furthermore our process can be adapted to a wide range of central wavelengths.","lang":"eng"}],"article_type":"original","issue":"14","doi":"10.1364/oe.522549","language":[{"iso":"eng"}],"user_id":"78890","date_updated":"2025-12-19T11:37:41Z","publication":"Optics Express","status":"public"},{"issue":"12","doi":"10.1177/14644207241232233","publisher":"SAGE Publications","quality_controlled":"1","abstract":[{"lang":"eng","text":" Lightweight design by using low-density and load-adapted materials can reduce the weight of vehicles and the emissions generated during operation. However, the usage of different materials requires innovative joining technologies with increased versatility. In this investigation, the focus is on describing and characterising the failure behaviour of connections manufactured by an innovative thermomechanical joining process with adaptable auxiliary joining elements in single-lap tensile-shear tests. In order to analyse the failure development in detail, the specimens are investigated using in-situ computed tomography (in-situ CT). Here, the tensile-shear test is interrupted at points of interest and CT scans are conducted under load. In addition, the interrupted in-situ testing procedure is validated by comparing the loading behaviour with conventional continuous tensile-shear tests. The results of the in-situ investigations of joints with varying material combinations clearly describe the cause of failure, allowing conclusions towards an improved joint design. "}],"publication":"Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications","status":"public","language":[{"iso":"eng"}],"user_id":"7888","date_updated":"2025-12-22T10:40:28Z","title":"In-situ computed tomography analysis of the failure mechanisms of thermomechanically manufactured joints with auxiliary joining element","citation":{"mla":"Borgert, Thomas, et al. “In-Situ Computed Tomography Analysis of the Failure Mechanisms of Thermomechanically Manufactured Joints with Auxiliary Joining Element.” Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, vol. 238, no. 12, SAGE Publications, 2024, pp. 2299–306, doi:10.1177/14644207241232233.","short":"T. Borgert, D. Köhler, E. Wiens, R. Kupfer, J. Troschitz, W. Homberg, M. Gude, Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications 238 (2024) 2299–2306.","ieee":"T. Borgert et al., “In-situ computed tomography analysis of the failure mechanisms of thermomechanically manufactured joints with auxiliary joining element,” Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, vol. 238, no. 12, pp. 2299–2306, 2024, doi: 10.1177/14644207241232233.","chicago":"Borgert, Thomas, D Köhler, Eugen Wiens, R Kupfer, J Troschitz, Werner Homberg, and M Gude. “In-Situ Computed Tomography Analysis of the Failure Mechanisms of Thermomechanically Manufactured Joints with Auxiliary Joining Element.” Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications 238, no. 12 (2024): 2299–2306. https://doi.org/10.1177/14644207241232233.","ama":"Borgert T, Köhler D, Wiens E, et al. In-situ computed tomography analysis of the failure mechanisms of thermomechanically manufactured joints with auxiliary joining element. Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications. 2024;238(12):2299-2306. doi:10.1177/14644207241232233","bibtex":"@article{Borgert_Köhler_Wiens_Kupfer_Troschitz_Homberg_Gude_2024, title={In-situ computed tomography analysis of the failure mechanisms of thermomechanically manufactured joints with auxiliary joining element}, volume={238}, DOI={10.1177/14644207241232233}, number={12}, journal={Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications}, publisher={SAGE Publications}, author={Borgert, Thomas and Köhler, D and Wiens, Eugen and Kupfer, R and Troschitz, J and Homberg, Werner and Gude, M}, year={2024}, pages={2299–2306} }","apa":"Borgert, T., Köhler, D., Wiens, E., Kupfer, R., Troschitz, J., Homberg, W., & Gude, M. (2024). In-situ computed tomography analysis of the failure mechanisms of thermomechanically manufactured joints with auxiliary joining element. Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 238(12), 2299–2306. https://doi.org/10.1177/14644207241232233"},"volume":238,"date_created":"2025-12-19T09:13:30Z","publication_identifier":{"issn":["1464-4207","2041-3076"]},"page":"2299-2306","type":"journal_article","year":"2024","intvolume":" 238","publication_status":"published","department":[{"_id":"156"}],"author":[{"id":"83141","last_name":"Borgert","first_name":"Thomas","full_name":"Borgert, Thomas"},{"last_name":"Köhler","full_name":"Köhler, D","first_name":"D"},{"id":"7888","first_name":"Eugen","full_name":"Wiens, Eugen","last_name":"Wiens"},{"first_name":"R","full_name":"Kupfer, R","last_name":"Kupfer"},{"last_name":"Troschitz","full_name":"Troschitz, J","first_name":"J"},{"id":"233","first_name":"Werner","full_name":"Homberg, Werner","last_name":"Homberg"},{"full_name":"Gude, M","first_name":"M","last_name":"Gude"}],"_id":"63346"},{"year":"2024","department":[{"_id":"49"}],"has_accepted_license":"1","type":"conference","_id":"53824","author":[{"last_name":"Koch","full_name":"Koch, Kevin","first_name":"Kevin"},{"orcid":"0000-0002-4393-268X","last_name":"Claes","full_name":"Claes, Leander","first_name":"Leander","id":"11829"},{"last_name":"Jurgelucks","first_name":"Benjamin","full_name":"Jurgelucks, Benjamin"},{"id":"24769","last_name":"Meihost","first_name":"Lars","full_name":"Meihost, Lars"},{"last_name":"Henning","full_name":"Henning, Bernd","first_name":"Bernd","id":"213"}],"date_created":"2024-05-02T13:34:01Z","title":"Inverses Verfahren zur Identifikation piezoelektrischer Materialparameter unterstützt durch neuronale Netze","citation":{"chicago":"Koch, Kevin, Leander Claes, Benjamin Jurgelucks, Lars Meihost, and Bernd Henning. “Inverses Verfahren zur Identifikation piezoelektrischer Materialparameter unterstützt durch neuronale Netze.” In Fortschritte der Akustik - DAGA 2024, edited by Deutsche Gesellschaft für Akustik e.V., 1113–1116, 2024.","ama":"Koch K, Claes L, Jurgelucks B, Meihost L, Henning B. Inverses Verfahren zur Identifikation piezoelektrischer Materialparameter unterstützt durch neuronale Netze. In: Gesellschaft für Akustik e.V. D, ed. Fortschritte der Akustik - DAGA 2024. ; 2024:1113–1116.","apa":"Koch, K., Claes, L., Jurgelucks, B., Meihost, L., & Henning, B. (2024). Inverses Verfahren zur Identifikation piezoelektrischer Materialparameter unterstützt durch neuronale Netze. In D. Gesellschaft für Akustik e.V. (Ed.), Fortschritte der Akustik - DAGA 2024 (pp. 1113–1116).","bibtex":"@inproceedings{Koch_Claes_Jurgelucks_Meihost_Henning_2024, title={Inverses Verfahren zur Identifikation piezoelektrischer Materialparameter unterstützt durch neuronale Netze}, booktitle={Fortschritte der Akustik - DAGA 2024}, author={Koch, Kevin and Claes, Leander and Jurgelucks, Benjamin and Meihost, Lars and Henning, Bernd}, editor={Gesellschaft für Akustik e.V., Deutsche }, year={2024}, pages={1113–1116} }","short":"K. Koch, L. Claes, B. Jurgelucks, L. Meihost, B. Henning, in: D. Gesellschaft für Akustik e.V. (Ed.), Fortschritte der Akustik - DAGA 2024, 2024, pp. 1113–1116.","ieee":"K. Koch, L. Claes, B. Jurgelucks, L. Meihost, and B. Henning, “Inverses Verfahren zur Identifikation piezoelektrischer Materialparameter unterstützt durch neuronale Netze,” in Fortschritte der Akustik - DAGA 2024, 2024, pp. 1113–1116.","mla":"Koch, Kevin, et al. “Inverses Verfahren zur Identifikation piezoelektrischer Materialparameter unterstützt durch neuronale Netze.” Fortschritte der Akustik - DAGA 2024, edited by Deutsche Gesellschaft für Akustik e.V., 2024, pp. 1113–1116."},"page":"1113–1116","status":"public","oa":"1","file":[{"access_level":"open_access","date_updated":"2024-05-02T14:06:28Z","file_id":"53825","file_name":"daga2024koch.pdf","creator":"leanderc","date_created":"2024-05-02T13:36:51Z","relation":"main_file","content_type":"application/pdf","file_size":365911}],"publication":"Fortschritte der Akustik - DAGA 2024","language":[{"iso":"ger"}],"user_id":"11829","editor":[{"last_name":"Gesellschaft für Akustik e.V.","full_name":"Gesellschaft für Akustik e.V., Deutsche ","first_name":"Deutsche "}],"date_updated":"2026-01-05T07:56:42Z","ddc":["620"],"conference":{"start_date":"2024-03-18","end_date":"2024-03-21"},"project":[{"_id":"90","name":"ChaMP: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums"},{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"},{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"file_date_updated":"2024-05-02T14:06:28Z"},{"user_id":"11829","language":[{"iso":"eng"}],"date_updated":"2026-01-05T07:58:55Z","publication":"2023 International Congress on Ultrasonics, Beijing, China","status":"public","oa":"1","publisher":"IOP Publishing","project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"doi":"10.1088/1742-6596/2822/1/012125","_id":"56834","author":[{"last_name":"Friesen","first_name":"Olga","full_name":"Friesen, Olga","id":"44026"},{"full_name":"Claes, Leander","first_name":"Leander","orcid":"0000-0002-4393-268X","last_name":"Claes","id":"11829"},{"id":"38259","first_name":"Claus","full_name":"Scheidemann, Claus","last_name":"Scheidemann"},{"id":"23082","last_name":"Feldmann","full_name":"Feldmann, Nadine","first_name":"Nadine"},{"id":"210","last_name":"Hemsel","first_name":"Tobias","full_name":"Hemsel, Tobias"},{"last_name":"Henning","full_name":"Henning, Bernd","first_name":"Bernd","id":"213"}],"main_file_link":[{"url":"https://iopscience.iop.org/article/10.1088/1742-6596/2822/1/012125","open_access":"1"}],"type":"conference","department":[{"_id":"49"}],"intvolume":" 2822","year":"2024","publication_identifier":{"issn":["1742-6596"]},"page":"012125","title":"Estimation of temperature-dependent piezoelectric material parameters using ring-shaped specimens","citation":{"apa":"Friesen, O., Claes, L., Scheidemann, C., Feldmann, N., Hemsel, T., & Henning, B. (2024). Estimation of temperature-dependent piezoelectric material parameters using ring-shaped specimens. 2023 International Congress on Ultrasonics, Beijing, China, 2822, 012125. https://doi.org/10.1088/1742-6596/2822/1/012125","bibtex":"@inproceedings{Friesen_Claes_Scheidemann_Feldmann_Hemsel_Henning_2024, title={Estimation of temperature-dependent piezoelectric material parameters using ring-shaped specimens}, volume={2822}, DOI={10.1088/1742-6596/2822/1/012125}, booktitle={2023 International Congress on Ultrasonics, Beijing, China}, publisher={IOP Publishing}, author={Friesen, Olga and Claes, Leander and Scheidemann, Claus and Feldmann, Nadine and Hemsel, Tobias and Henning, Bernd}, year={2024}, pages={012125} }","ama":"Friesen O, Claes L, Scheidemann C, Feldmann N, Hemsel T, Henning B. Estimation of temperature-dependent piezoelectric material parameters using ring-shaped specimens. In: 2023 International Congress on Ultrasonics, Beijing, China. Vol 2822. IOP Publishing; 2024:012125. doi:10.1088/1742-6596/2822/1/012125","chicago":"Friesen, Olga, Leander Claes, Claus Scheidemann, Nadine Feldmann, Tobias Hemsel, and Bernd Henning. “Estimation of Temperature-Dependent Piezoelectric Material Parameters Using Ring-Shaped Specimens.” In 2023 International Congress on Ultrasonics, Beijing, China, 2822:012125. IOP Publishing, 2024. https://doi.org/10.1088/1742-6596/2822/1/012125.","mla":"Friesen, Olga, et al. “Estimation of Temperature-Dependent Piezoelectric Material Parameters Using Ring-Shaped Specimens.” 2023 International Congress on Ultrasonics, Beijing, China, vol. 2822, IOP Publishing, 2024, p. 012125, doi:10.1088/1742-6596/2822/1/012125.","short":"O. Friesen, L. Claes, C. Scheidemann, N. Feldmann, T. Hemsel, B. Henning, in: 2023 International Congress on Ultrasonics, Beijing, China, IOP Publishing, 2024, p. 012125.","ieee":"O. Friesen, L. Claes, C. Scheidemann, N. Feldmann, T. Hemsel, and B. Henning, “Estimation of temperature-dependent piezoelectric material parameters using ring-shaped specimens,” in 2023 International Congress on Ultrasonics, Beijing, China, 2024, vol. 2822, p. 012125, doi: 10.1088/1742-6596/2822/1/012125."},"volume":2822,"date_created":"2024-10-31T07:59:01Z"},{"status":"public","year":"2024","department":[{"_id":"49"}],"type":"research_data","date_updated":"2026-01-05T07:57:46Z","user_id":"11829","_id":"55470","author":[{"last_name":"Koch","first_name":"Kevin","full_name":"Koch, Kevin"},{"id":"44026","last_name":"Friesen","full_name":"Friesen, Olga","first_name":"Olga"},{"full_name":"Claes, Leander","first_name":"Leander","orcid":"0000-0002-4393-268X","last_name":"Claes","id":"11829"}],"date_created":"2024-07-31T14:10:12Z","doi":"10.5281/zenodo.13143680","citation":{"mla":"Koch, Kevin, et al. Randomised Material Parameter Impedance Dataset of Piezoelectric Rings. Zenodo, 2024, doi:10.5281/zenodo.13143680.","ieee":"K. Koch, O. Friesen, and L. Claes, Randomised material parameter impedance dataset of piezoelectric rings. Zenodo, 2024.","short":"K. Koch, O. Friesen, L. Claes, Randomised Material Parameter Impedance Dataset of Piezoelectric Rings, Zenodo, 2024.","chicago":"Koch, Kevin, Olga Friesen, and Leander Claes. Randomised Material Parameter Impedance Dataset of Piezoelectric Rings. Zenodo, 2024. https://doi.org/10.5281/zenodo.13143680.","apa":"Koch, K., Friesen, O., & Claes, L. (2024). Randomised material parameter impedance dataset of piezoelectric rings. Zenodo. https://doi.org/10.5281/zenodo.13143680","ama":"Koch K, Friesen O, Claes L. Randomised Material Parameter Impedance Dataset of Piezoelectric Rings. Zenodo; 2024. doi:10.5281/zenodo.13143680","bibtex":"@book{Koch_Friesen_Claes_2024, title={Randomised material parameter impedance dataset of piezoelectric rings}, DOI={10.5281/zenodo.13143680}, publisher={Zenodo}, author={Koch, Kevin and Friesen, Olga and Claes, Leander}, year={2024} }"},"title":"Randomised material parameter impedance dataset of piezoelectric rings","project":[{"_id":"90","name":"ChaMP: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums"},{"name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"publisher":"Zenodo"},{"doi":"10.5281/ZENODO.11064206","date_created":"2024-04-25T13:54:49Z","title":"Randomised material parameter piezoelectric impedance dataset with structured electrodes","citation":{"ama":"Koch K, Claes L. Randomised Material Parameter Piezoelectric Impedance Dataset with Structured Electrodes. zenodo; 2024. doi:10.5281/ZENODO.11064206","bibtex":"@book{Koch_Claes_2024, title={Randomised material parameter piezoelectric impedance dataset with structured electrodes}, DOI={10.5281/ZENODO.11064206}, publisher={zenodo}, author={Koch, Kevin and Claes, Leander}, year={2024} }","apa":"Koch, K., & Claes, L. (2024). Randomised material parameter piezoelectric impedance dataset with structured electrodes. zenodo. https://doi.org/10.5281/ZENODO.11064206","chicago":"Koch, Kevin, and Leander Claes. Randomised Material Parameter Piezoelectric Impedance Dataset with Structured Electrodes. zenodo, 2024. https://doi.org/10.5281/ZENODO.11064206.","mla":"Koch, Kevin, and Leander Claes. Randomised Material Parameter Piezoelectric Impedance Dataset with Structured Electrodes. zenodo, 2024, doi:10.5281/ZENODO.11064206.","short":"K. Koch, L. Claes, Randomised Material Parameter Piezoelectric Impedance Dataset with Structured Electrodes, zenodo, 2024.","ieee":"K. Koch and L. Claes, Randomised material parameter piezoelectric impedance dataset with structured electrodes. zenodo, 2024."},"project":[{"name":"ChaMP: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums","_id":"90"},{"name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}],"publisher":"zenodo","department":[{"_id":"49"}],"status":"public","year":"2024","type":"research_data","user_id":"11829","_id":"53662","author":[{"first_name":"Kevin","full_name":"Koch, Kevin","last_name":"Koch"},{"last_name":"Claes","orcid":"0000-0002-4393-268X","full_name":"Claes, Leander","first_name":"Leander","id":"11829"}],"date_updated":"2026-01-05T07:56:58Z"},{"project":[{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"},{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"citation":{"chicago":"Claes, Leander, Kevin Koch, Olga Friesen, and Lars Meihost. Machine Learning in Inverse Measurement Problems: An Application to Piezoelectric Material Characterisation. International Workshop on Piezoelectric Materials and Applications (IWPMA), 2024.","bibtex":"@book{Claes_Koch_Friesen_Meihost_2024, place={International Workshop on Piezoelectric Materials and Applications (IWPMA)}, title={Machine learning in inverse measurement problems: An application to piezoelectric material characterisation}, author={Claes, Leander and Koch, Kevin and Friesen, Olga and Meihost, Lars}, year={2024} }","ama":"Claes L, Koch K, Friesen O, Meihost L. Machine Learning in Inverse Measurement Problems: An Application to Piezoelectric Material Characterisation.; 2024.","apa":"Claes, L., Koch, K., Friesen, O., & Meihost, L. (2024). Machine learning in inverse measurement problems: An application to piezoelectric material characterisation.","mla":"Claes, Leander, et al. Machine Learning in Inverse Measurement Problems: An Application to Piezoelectric Material Characterisation. 2024.","short":"L. Claes, K. Koch, O. Friesen, L. Meihost, Machine Learning in Inverse Measurement Problems: An Application to Piezoelectric Material Characterisation, International Workshop on Piezoelectric Materials and Applications (IWPMA), 2024.","ieee":"L. Claes, K. Koch, O. Friesen, and L. Meihost, Machine learning in inverse measurement problems: An application to piezoelectric material characterisation. International Workshop on Piezoelectric Materials and Applications (IWPMA), 2024."},"title":"Machine learning in inverse measurement problems: An application to piezoelectric material characterisation","place":"International Workshop on Piezoelectric Materials and Applications (IWPMA)","date_created":"2024-07-29T12:34:21Z","date_updated":"2026-01-05T07:57:27Z","language":[{"iso":"eng"}],"_id":"55416","user_id":"11829","author":[{"id":"11829","first_name":"Leander","full_name":"Claes, Leander","orcid":"0000-0002-4393-268X","last_name":"Claes"},{"first_name":"Kevin","full_name":"Koch, Kevin","last_name":"Koch"},{"full_name":"Friesen, Olga","first_name":"Olga","last_name":"Friesen","id":"44026"},{"id":"24769","last_name":"Meihost","full_name":"Meihost, Lars","first_name":"Lars"}],"type":"misc","status":"public","year":"2024","department":[{"_id":"49"}]},{"date_created":"2024-10-29T09:07:00Z","doi":"https://doi.org/10.1515/teme-2024-0107","citation":{"short":"O. Friesen, L. Claes, N. Feldmann, B. Henning, Tm - Technisches Messen (2024).","ieee":"O. Friesen, L. Claes, N. Feldmann, and B. Henning, “Estimation of piezoelectric material parameters of ring-shaped specimens,” tm - Technisches Messen, 2024, doi: https://doi.org/10.1515/teme-2024-0107.","mla":"Friesen, Olga, et al. “Estimation of Piezoelectric Material Parameters of Ring-Shaped Specimens.” Tm - Technisches Messen, De Gruyter, 2024, doi:https://doi.org/10.1515/teme-2024-0107.","chicago":"Friesen, Olga, Leander Claes, Nadine Feldmann, and Bernd Henning. “Estimation of Piezoelectric Material Parameters of Ring-Shaped Specimens.” Tm - Technisches Messen, 2024. https://doi.org/10.1515/teme-2024-0107.","ama":"Friesen O, Claes L, Feldmann N, Henning B. Estimation of piezoelectric material parameters of ring-shaped specimens. tm - Technisches Messen. Published online 2024. doi:https://doi.org/10.1515/teme-2024-0107","bibtex":"@article{Friesen_Claes_Feldmann_Henning_2024, title={Estimation of piezoelectric material parameters of ring-shaped specimens}, DOI={https://doi.org/10.1515/teme-2024-0107}, journal={tm - Technisches Messen}, publisher={De Gruyter}, author={Friesen, Olga and Claes, Leander and Feldmann, Nadine and Henning, Bernd}, year={2024} }","apa":"Friesen, O., Claes, L., Feldmann, N., & Henning, B. (2024). Estimation of piezoelectric material parameters of ring-shaped specimens. Tm - Technisches Messen. https://doi.org/10.1515/teme-2024-0107"},"title":"Estimation of piezoelectric material parameters of ring-shaped specimens","project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"abstract":[{"lang":"eng","text":"The estimation of accurate piezoelectric material parameters is a fundamental prerequisite for simulation-driven design of piezoelectric actuators and sensors. Previous studies show that a full set of material parameters can be determined in an inverse procedure using a single disc-shaped specimen with an electrode structured for increased sensitivity with respect to all material parameters. However, in the case of high-power actuator applications, ring-shaped piezoelectric components are often employed, necessitating an adaptation of the previously developed method. The alteration in geometry introduces some advantages. Accordingly, there is no longer any requirement to modify the electrode structure in order to enhance sensitivity. The method to estimate the material parameters presented here consists of a total of three stages. An initial, approximate estimation of the material parameters is determined using analytical approximations for the resonance frequencies from the IEEE standard. These values are optimised in an inverse procedure that employs analytic expressions for the electrical impedance of piezoelectric rings as the forward model. Further refinement is achieved by using Finite Element (FE) simulations as the forward model again in an inverse procedure. The method is applied to electrical impedance measurement data, yielding material parameters for hard piezoelectric rings. The result shows a good agreement between the simulation and measurement results, indicating realistic material parameter values."}],"publisher":"De Gruyter","publication_identifier":{"issn":["2196-7113"]},"status":"public","year":"2024","publication_status":"published","department":[{"_id":"49"}],"type":"journal_article","publication":"tm - Technisches Messen","date_updated":"2026-01-05T07:59:24Z","language":[{"iso":"eng"}],"author":[{"id":"44026","first_name":"Olga","full_name":"Friesen, Olga","last_name":"Friesen"},{"orcid":"0000-0002-4393-268X","last_name":"Claes","first_name":"Leander","full_name":"Claes, Leander","id":"11829"},{"id":"23082","full_name":"Feldmann, Nadine","first_name":"Nadine","last_name":"Feldmann"},{"id":"213","full_name":"Henning, Bernd","first_name":"Bernd","last_name":"Henning"}],"_id":"56777","user_id":"11829"},{"quality_controlled":"1","publisher":"Walter de Gruyter GmbH","project":[{"name":"ChaMP: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums","_id":"90"},{"name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"title":"Neuronale Netze zur Startwertschätzung bei der Identifikation piezoelektrischer Materialparameter","article_type":"original","citation":{"ieee":"K. Koch, L. Claes, B. Jurgelucks, and L. Meihost, “Neuronale Netze zur Startwertschätzung bei der Identifikation piezoelektrischer Materialparameter,” tm - Technisches Messen, 2024, doi: 10.1515/teme-2024-0099.","short":"K. Koch, L. Claes, B. Jurgelucks, L. Meihost, Tm - Technisches Messen (2024).","mla":"Koch, Kevin, et al. “Neuronale Netze Zur Startwertschätzung Bei Der Identifikation Piezoelektrischer Materialparameter.” Tm - Technisches Messen, Walter de Gruyter GmbH, 2024, doi:10.1515/teme-2024-0099.","chicago":"Koch, Kevin, Leander Claes, Benjamin Jurgelucks, and Lars Meihost. “Neuronale Netze Zur Startwertschätzung Bei Der Identifikation Piezoelektrischer Materialparameter.” Tm - Technisches Messen, 2024. https://doi.org/10.1515/teme-2024-0099.","apa":"Koch, K., Claes, L., Jurgelucks, B., & Meihost, L. (2024). Neuronale Netze zur Startwertschätzung bei der Identifikation piezoelektrischer Materialparameter. 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