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Chekhova, Physical Review Research 2 (2020).","mla":"Sharapova, Polina R., et al. “Properties of Bright Squeezed Vacuum at Increasing Brightness.” Physical Review Research, vol. 2, no. 1, 013371, American Physical Society (APS), 2020, doi:10.1103/physrevresearch.2.013371.","bibtex":"@article{Sharapova_Frascella_Riabinin_Pérez_Tikhonova_Lemieux_Boyd_Leuchs_Chekhova_2020, title={Properties of bright squeezed vacuum at increasing brightness}, volume={2}, DOI={10.1103/physrevresearch.2.013371}, number={1013371}, journal={Physical Review Research}, publisher={American Physical Society (APS)}, author={Sharapova, Polina R. and Frascella, G. and Riabinin, M. and Pérez, A. M. and Tikhonova, O. V. and Lemieux, S. and Boyd, R. W. and Leuchs, G. and Chekhova, M. V.}, year={2020} }","ama":"Sharapova PR, Frascella G, Riabinin M, et al. Properties of bright squeezed vacuum at increasing brightness. Physical Review Research. 2020;2(1). doi:10.1103/physrevresearch.2.013371"},"status":"public","volume":2,"user_id":"16199","_id":"40364","publisher":"American Physical Society (APS)"},{"date_created":"2023-01-26T14:06:23Z","type":"journal_article","keyword":["Electrical and Electronic Engineering","Physics and Astronomy (miscellaneous)","Materials Science (miscellaneous)","Atomic and Molecular Physics","and Optics"],"department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"288"},{"_id":"230"},{"_id":"429"},{"_id":"35"}],"issue":"4","publication":"Quantum Science and Technology","abstract":[{"lang":"eng","text":"Abstract\r\n The phenomenon of entanglement is the basis of quantum information and quantum communication processes. Entangled systems with a large number of photons are of great interest at present because they provide a platform for streaming technologies based on photonics. In this paper we present a device which operates with four-photons and based on the Hong–Ou–Mandel interference. The presented device allows to maximize the degree of spatial entanglement and generate the highly entangled four-dimensional Bell states. Furthermore, the use of the interferometer in different regimes leads to fast interference fringes in the coincidence probability with period of oscillations twice smaller than the pump wavelength. We have a good agreement between theoretical simulations and experimental results."}],"article_number":"045020","language":[{"iso":"eng"}],"doi":"10.1088/2058-9565/abb411","title":"Spatial entanglement and state engineering via four-photon Hong–Ou–Mandel interference","year":"2020","author":[{"first_name":"A","last_name":"Ferreri","full_name":"Ferreri, A"},{"last_name":"Ansari","first_name":"V","full_name":"Ansari, V"},{"id":"27150","orcid":"0000-0003-4140-0556 ","first_name":"Benjamin","last_name":"Brecht","full_name":"Brecht, Benjamin"},{"id":"26263","first_name":"Christine","last_name":"Silberhorn","full_name":"Silberhorn, Christine"},{"id":"60286","full_name":"Sharapova, Polina R.","last_name":"Sharapova","first_name":"Polina R."}],"publication_identifier":{"issn":["2058-9565"]},"publication_status":"published","date_updated":"2025-12-16T11:27:56Z","intvolume":" 5","citation":{"ama":"Ferreri A, Ansari V, Brecht B, Silberhorn C, Sharapova PR. Spatial entanglement and state engineering via four-photon Hong–Ou–Mandel interference. Quantum Science and Technology. 2020;5(4). doi:10.1088/2058-9565/abb411","bibtex":"@article{Ferreri_Ansari_Brecht_Silberhorn_Sharapova_2020, title={Spatial entanglement and state engineering via four-photon Hong–Ou–Mandel interference}, volume={5}, DOI={10.1088/2058-9565/abb411}, number={4045020}, journal={Quantum Science and Technology}, publisher={IOP Publishing}, author={Ferreri, A and Ansari, V and Brecht, Benjamin and Silberhorn, Christine and Sharapova, Polina R.}, year={2020} }","mla":"Ferreri, A., et al. “Spatial Entanglement and State Engineering via Four-Photon Hong–Ou–Mandel Interference.” Quantum Science and Technology, vol. 5, no. 4, 045020, IOP Publishing, 2020, doi:10.1088/2058-9565/abb411.","short":"A. Ferreri, V. Ansari, B. Brecht, C. Silberhorn, P.R. Sharapova, Quantum Science and Technology 5 (2020).","chicago":"Ferreri, A, V Ansari, Benjamin Brecht, Christine Silberhorn, and Polina R. Sharapova. “Spatial Entanglement and State Engineering via Four-Photon Hong–Ou–Mandel Interference.” Quantum Science and Technology 5, no. 4 (2020). https://doi.org/10.1088/2058-9565/abb411.","apa":"Ferreri, A., Ansari, V., Brecht, B., Silberhorn, C., & Sharapova, P. R. (2020). Spatial entanglement and state engineering via four-photon Hong–Ou–Mandel interference. Quantum Science and Technology, 5(4), Article 045020. https://doi.org/10.1088/2058-9565/abb411","ieee":"A. Ferreri, V. Ansari, B. Brecht, C. Silberhorn, and P. R. Sharapova, “Spatial entanglement and state engineering via four-photon Hong–Ou–Mandel interference,” Quantum Science and Technology, vol. 5, no. 4, Art. no. 045020, 2020, doi: 10.1088/2058-9565/abb411."},"project":[{"_id":"53","name":"TRR 142: TRR 142"},{"name":"TRR 142 - C: TRR 142 - Project Area C","_id":"56"},{"_id":"72","name":"TRR 142 - C2: TRR 142 - Subproject C2"}],"publisher":"IOP Publishing","_id":"40381","user_id":"16199","volume":5,"status":"public"},{"citation":{"apa":"Ludwig, M. (Ed.). (2020). Research on Outdoor STEM Education in the digital Age. Proceedings of the ROSETA Online Conference in June 2020. WTM-Verlag. https://doi.org/10.37626/ga9783959871440.0","ieee":"M. Ludwig, Ed., Research on Outdoor STEM Education in the digital Age. Proceedings of the ROSETA Online Conference in June 2020. WTM-Verlag, 2020.","short":"M. Ludwig, ed., Research on Outdoor STEM Education in the Digital Age. Proceedings of the ROSETA Online Conference in June 2020, WTM-Verlag, 2020.","chicago":"Ludwig, Matthias, ed. Research on Outdoor STEM Education in the Digital Age. Proceedings of the ROSETA Online Conference in June 2020. WTM-Verlag, 2020. https://doi.org/10.37626/ga9783959871440.0.","mla":"Ludwig, Matthias, editor. Research on Outdoor STEM Education in the Digital Age. Proceedings of the ROSETA Online Conference in June 2020. WTM-Verlag, 2020, doi:10.37626/ga9783959871440.0.","ama":"Ludwig M, ed. Research on Outdoor STEM Education in the Digital Age. Proceedings of the ROSETA Online Conference in June 2020. WTM-Verlag; 2020. doi:10.37626/ga9783959871440.0","bibtex":"@book{Ludwig_2020, title={Research on Outdoor STEM Education in the digital Age. Proceedings of the ROSETA Online Conference in June 2020}, DOI={10.37626/ga9783959871440.0}, publisher={WTM-Verlag}, year={2020} }"},"date_created":"2025-12-17T08:55:20Z","type":"book_editor","publication_identifier":{"isbn":["9783959871440"]},"year":"2020","title":"Research on Outdoor STEM Education in the digital Age. Proceedings of the ROSETA Online Conference in June 2020","status":"public","date_updated":"2025-12-17T08:56:05Z","publication_status":"published","publisher":"WTM-Verlag","_id":"63179","editor":[{"first_name":"Matthias","last_name":"Ludwig","full_name":"Ludwig, Matthias"}],"doi":"10.37626/ga9783959871440.0","user_id":"111489"},{"date_created":"2025-12-18T10:45:12Z","department":[{"_id":"33"}],"type":"conference","citation":{"ieee":"C. Decker and M. Mochalova, “Vielfalt gegen die Einfalt: Praktische Umsetzung eines Projektkonzepts,” presented at the Bundekongress der Zentren für Lehrerbildung und Professional Schools of Education, Köln, 2020.","apa":"Decker, C., & Mochalova, M. (2020). Vielfalt gegen die Einfalt: Praktische Umsetzung eines Projektkonzepts. Bundekongress der Zentren für Lehrerbildung und Professional Schools of Education, Köln.","short":"C. Decker, M. Mochalova, in: 2020.","chicago":"Decker, Claudia, and Maria Mochalova. “Vielfalt Gegen Die Einfalt: Praktische Umsetzung Eines Projektkonzepts,” 2020.","mla":"Decker, Claudia, and Maria Mochalova. Vielfalt Gegen Die Einfalt: Praktische Umsetzung Eines Projektkonzepts. 2020.","bibtex":"@inproceedings{Decker_Mochalova_2020, title={Vielfalt gegen die Einfalt: Praktische Umsetzung eines Projektkonzepts}, author={Decker, Claudia and Mochalova, Maria}, year={2020} }","ama":"Decker C, Mochalova M. Vielfalt gegen die Einfalt: Praktische Umsetzung eines Projektkonzepts. In: ; 2020."},"language":[{"iso":"eng"}],"_id":"63195","user_id":"31046","author":[{"full_name":"Decker, Claudia","first_name":"Claudia","last_name":"Decker","id":"31046"},{"full_name":"Mochalova, Maria","last_name":"Mochalova","first_name":"Maria"}],"conference":{"end_date":"28.2.2020","name":"Bundekongress der Zentren für Lehrerbildung und Professional Schools of Education","start_date":"26.2.2020","location":"Köln"},"status":"public","year":"2020","title":"Vielfalt gegen die Einfalt: Praktische Umsetzung eines Projektkonzepts","date_updated":"2025-12-18T10:45:20Z"},{"user_id":"55629","volume":28,"_id":"37933","publisher":"Optica Publishing Group","status":"public","project":[{"_id":"237","name":"PhoG: Sub-Poissonian Photon Gun by Coherent Diffusive Photonics - EU Flagship Project"},{"name":"ISOQC: Quantenkommunikation mit integrierter Optik im Zusammenhang mit supraleitender Elektronik","_id":"209"}],"citation":{"chicago":"Tiedau, Johannes, Timon Schapeler, Vikas Anant, Helmut Fedder, Christine Silberhorn, and Tim Bartley. “Single-Channel Electronic Readout of a Multipixel Superconducting Nanowire Single Photon Detector.” Optics Express 28, no. 4 (2020). https://doi.org/10.1364/oe.383111.","short":"J. Tiedau, T. Schapeler, V. Anant, H. Fedder, C. Silberhorn, T. Bartley, Optics Express 28 (2020).","apa":"Tiedau, J., Schapeler, T., Anant, V., Fedder, H., Silberhorn, C., & Bartley, T. (2020). Single-channel electronic readout of a multipixel superconducting nanowire single photon detector. Optics Express, 28(4), Article 5528. https://doi.org/10.1364/oe.383111","ieee":"J. Tiedau, T. Schapeler, V. Anant, H. Fedder, C. Silberhorn, and T. Bartley, “Single-channel electronic readout of a multipixel superconducting nanowire single photon detector,” Optics Express, vol. 28, no. 4, Art. no. 5528, 2020, doi: 10.1364/oe.383111.","ama":"Tiedau J, Schapeler T, Anant V, Fedder H, Silberhorn C, Bartley T. Single-channel electronic readout of a multipixel superconducting nanowire single photon detector. Optics Express. 2020;28(4). doi:10.1364/oe.383111","bibtex":"@article{Tiedau_Schapeler_Anant_Fedder_Silberhorn_Bartley_2020, title={Single-channel electronic readout of a multipixel superconducting nanowire single photon detector}, volume={28}, DOI={10.1364/oe.383111}, number={45528}, journal={Optics Express}, publisher={Optica Publishing Group}, author={Tiedau, Johannes and Schapeler, Timon and Anant, Vikas and Fedder, Helmut and Silberhorn, Christine and Bartley, Tim}, year={2020} }","mla":"Tiedau, Johannes, et al. “Single-Channel Electronic Readout of a Multipixel Superconducting Nanowire Single Photon Detector.” Optics Express, vol. 28, no. 4, 5528, Optica Publishing Group, 2020, doi:10.1364/oe.383111."},"doi":"10.1364/oe.383111","article_number":"5528","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2025-12-18T17:10:24Z","intvolume":" 28","year":"2020","title":"Single-channel electronic readout of a multipixel superconducting nanowire single photon detector","author":[{"full_name":"Tiedau, Johannes","first_name":"Johannes","last_name":"Tiedau"},{"id":"55629","full_name":"Schapeler, Timon","orcid":"0000-0001-7652-1716","first_name":"Timon","last_name":"Schapeler"},{"first_name":"Vikas","last_name":"Anant","full_name":"Anant, Vikas"},{"last_name":"Fedder","first_name":"Helmut","full_name":"Fedder, Helmut"},{"id":"26263","full_name":"Silberhorn, Christine","first_name":"Christine","last_name":"Silberhorn"},{"full_name":"Bartley, Tim","first_name":"Tim","last_name":"Bartley","id":"49683"}],"publication_identifier":{"issn":["1094-4087"]},"keyword":["Atomic and Molecular Physics","and Optics"],"type":"journal_article","department":[{"_id":"288"},{"_id":"15"},{"_id":"623"},{"_id":"230"}],"date_created":"2023-01-22T17:13:35Z","abstract":[{"text":"We present a time-over-threshold readout technique to count the number of activated pixels from an array of superconducting nanowire single photon detectors (SNSPDs). This technique places no additional heatload on the cryostat, and retains the intrinsic count rate of the time-tagger. We demonstrate proof-of-principle operation with respect to a four-pixel device. Furthermore, we show that, given some permissible error threshold, the number of pixels that can be reliably read out scales linearly with the intrinsic signal-to-noise ratio of the individual pixel response.","lang":"eng"}],"issue":"4","publication":"Optics Express"},{"status":"public","title":"Quantum detector tomography of a 2×2 multi-pixel array of superconducting nanowire single photon detectors","year":"2020","author":[{"first_name":"Timon","last_name":"Schapeler","orcid":"0000-0001-7652-1716","full_name":"Schapeler, Timon","id":"55629"},{"id":"33913","full_name":"Höpker, Jan Philipp","first_name":"Jan Philipp","last_name":"Höpker"},{"id":"49683","full_name":"Bartley, Tim","first_name":"Tim","last_name":"Bartley"}],"publication_identifier":{"issn":["1094-4087"]},"publication_status":"published","date_updated":"2025-12-18T17:08:01Z","article_number":"33035","language":[{"iso":"eng"}],"_id":"20156","user_id":"55629","doi":"10.1364/oe.404285","publication":"Optics Express","citation":{"mla":"Schapeler, Timon, et al. “Quantum Detector Tomography of a 2×2 Multi-Pixel Array of Superconducting Nanowire Single Photon Detectors.” Optics Express, 33035, 2020, doi:10.1364/oe.404285.","ama":"Schapeler T, Höpker JP, Bartley T. Quantum detector tomography of a 2×2 multi-pixel array of superconducting nanowire single photon detectors. Optics Express. Published online 2020. doi:10.1364/oe.404285","bibtex":"@article{Schapeler_Höpker_Bartley_2020, title={Quantum detector tomography of a 2×2 multi-pixel array of superconducting nanowire single photon detectors}, DOI={10.1364/oe.404285}, number={33035}, journal={Optics Express}, author={Schapeler, Timon and Höpker, Jan Philipp and Bartley, Tim}, year={2020} }","apa":"Schapeler, T., Höpker, J. P., & Bartley, T. (2020). Quantum detector tomography of a 2×2 multi-pixel array of superconducting nanowire single photon detectors. Optics Express, Article 33035. https://doi.org/10.1364/oe.404285","ieee":"T. Schapeler, J. P. Höpker, and T. Bartley, “Quantum detector tomography of a 2×2 multi-pixel array of superconducting nanowire single photon detectors,” Optics Express, Art. no. 33035, 2020, doi: 10.1364/oe.404285.","short":"T. Schapeler, J.P. Höpker, T. Bartley, Optics Express (2020).","chicago":"Schapeler, Timon, Jan Philipp Höpker, and Tim Bartley. “Quantum Detector Tomography of a 2×2 Multi-Pixel Array of Superconducting Nanowire Single Photon Detectors.” Optics Express, 2020. https://doi.org/10.1364/oe.404285."},"project":[{"_id":"209","name":"ISOQC: Quantenkommunikation mit integrierter Optik im Zusammenhang mit supraleitender Elektronik"}],"date_created":"2020-10-21T11:02:41Z","type":"journal_article","department":[{"_id":"15"},{"_id":"230"}]},{"status":"public","publisher":"MDPI AG","_id":"63239","user_id":"117722","volume":20,"citation":{"chicago":"Leppin, Christian, Sven Hampel, Frederick Sebastian Meyer, Arne Langhoff, Ursula Elisabeth Adriane Fittschen, and Diethelm Johannsmann. “A Quartz Crystal Microbalance, Which Tracks Four Overtones in Parallel with a Time Resolution of 10 Milliseconds: Application to Inkjet Printing.” Sensors 20, no. 20 (2020). https://doi.org/10.3390/s20205915.","short":"C. Leppin, S. Hampel, F.S. Meyer, A. Langhoff, U.E.A. Fittschen, D. Johannsmann, Sensors 20 (2020).","apa":"Leppin, C., Hampel, S., Meyer, F. S., Langhoff, A., Fittschen, U. E. A., & Johannsmann, D. (2020). A Quartz Crystal Microbalance, Which Tracks Four Overtones in Parallel with a Time Resolution of 10 Milliseconds: Application to Inkjet Printing. Sensors, 20(20), Article 5915. https://doi.org/10.3390/s20205915","ieee":"C. Leppin, S. Hampel, F. S. Meyer, A. Langhoff, U. E. A. Fittschen, and D. Johannsmann, “A Quartz Crystal Microbalance, Which Tracks Four Overtones in Parallel with a Time Resolution of 10 Milliseconds: Application to Inkjet Printing,” Sensors, vol. 20, no. 20, Art. no. 5915, 2020, doi: 10.3390/s20205915.","ama":"Leppin C, Hampel S, Meyer FS, Langhoff A, Fittschen UEA, Johannsmann D. A Quartz Crystal Microbalance, Which Tracks Four Overtones in Parallel with a Time Resolution of 10 Milliseconds: Application to Inkjet Printing. Sensors. 2020;20(20). doi:10.3390/s20205915","bibtex":"@article{Leppin_Hampel_Meyer_Langhoff_Fittschen_Johannsmann_2020, title={A Quartz Crystal Microbalance, Which Tracks Four Overtones in Parallel with a Time Resolution of 10 Milliseconds: Application to Inkjet Printing}, volume={20}, DOI={10.3390/s20205915}, number={205915}, journal={Sensors}, publisher={MDPI AG}, author={Leppin, Christian and Hampel, Sven and Meyer, Frederick Sebastian and Langhoff, Arne and Fittschen, Ursula Elisabeth Adriane and Johannsmann, Diethelm}, year={2020} }","mla":"Leppin, Christian, et al. “A Quartz Crystal Microbalance, Which Tracks Four Overtones in Parallel with a Time Resolution of 10 Milliseconds: Application to Inkjet Printing.” Sensors, vol. 20, no. 20, 5915, MDPI AG, 2020, doi:10.3390/s20205915."},"quality_controlled":"1","title":"A Quartz Crystal Microbalance, Which Tracks Four Overtones in Parallel with a Time Resolution of 10 Milliseconds: Application to Inkjet Printing","year":"2020","publication_identifier":{"issn":["1424-8220"]},"author":[{"id":"117722","full_name":"Leppin, Christian","last_name":"Leppin","first_name":"Christian"},{"full_name":"Hampel, Sven","last_name":"Hampel","first_name":"Sven"},{"full_name":"Meyer, Frederick Sebastian","last_name":"Meyer","first_name":"Frederick Sebastian"},{"first_name":"Arne","last_name":"Langhoff","full_name":"Langhoff, Arne"},{"full_name":"Fittschen, Ursula Elisabeth Adriane","first_name":"Ursula Elisabeth Adriane","last_name":"Fittschen"},{"full_name":"Johannsmann, Diethelm","first_name":"Diethelm","last_name":"Johannsmann"}],"date_updated":"2025-12-18T17:33:50Z","publication_status":"published","intvolume":" 20","article_number":"5915","language":[{"iso":"eng"}],"doi":"10.3390/s20205915","issue":"20","publication":"Sensors","abstract":[{"text":"A quartz crystal microbalance (QCM) is described, which simultaneously determines resonance frequency and bandwidth on four different overtones. The time resolution is 10 milliseconds. This fast, multi-overtone QCM is based on multi-frequency lockin amplification. Synchronous interrogation of overtones is needed, when the sample changes quickly and when information on the sample is to be extracted from the comparison between overtones. The application example is thermal inkjet-printing. At impact, the resonance frequencies change over a time shorter than 10 milliseconds. There is a further increase in the contact area, evidenced by an increasing common prefactor to the shifts in frequency, Δf, and half-bandwidth, ΔΓ. The ratio ΔΓ/(−Δf), which quantifies the energy dissipated per time and unit area, decreases with time. Often, there is a fast initial decrease, lasting for about 100 milliseconds, followed by a slower decrease, persisting over the entire drying time (a few seconds). Fitting the overtone dependence of Δf(n) and ΔΓ(n) with power laws, one finds power-law exponents of about 1/2, characteristic of semi-infinite Newtonian liquids. The power-law exponents corresponding to Δf(n) slightly increase with time. The decrease of ΔΓ/(−Δf) and the increase of the exponents are explained by evaporation and formation of a solid film at the resonator surface.","lang":"eng"}],"extern":"1","date_created":"2025-12-18T17:29:29Z","type":"journal_article"},{"quality_controlled":"1","citation":{"bibtex":"@article{Gödde_Leppin_Meyer_Langhoff_Hartl_Garidel_Johannsmann_2020, title={Fast pH-mediated changes of the viscosity of protein solutions studied with a voltage-modulated quartz crystal microbalance}, volume={15}, DOI={10.1116/1.5140619}, number={2021004}, journal={Biointerphases}, publisher={American Vacuum Society}, author={Gödde, Alexander and Leppin, Christian and Meyer, Frederick S. and Langhoff, Arne and Hartl, Josef and Garidel, Patrick and Johannsmann, Diethelm}, year={2020} }","ama":"Gödde A, Leppin C, Meyer FS, et al. Fast pH-mediated changes of the viscosity of protein solutions studied with a voltage-modulated quartz crystal microbalance. Biointerphases. 2020;15(2). doi:10.1116/1.5140619","mla":"Gödde, Alexander, et al. “Fast pH-Mediated Changes of the Viscosity of Protein Solutions Studied with a Voltage-Modulated Quartz Crystal Microbalance.” Biointerphases, vol. 15, no. 2, 021004, American Vacuum Society, 2020, doi:10.1116/1.5140619.","chicago":"Gödde, Alexander, Christian Leppin, Frederick S. Meyer, Arne Langhoff, Josef Hartl, Patrick Garidel, and Diethelm Johannsmann. “Fast pH-Mediated Changes of the Viscosity of Protein Solutions Studied with a Voltage-Modulated Quartz Crystal Microbalance.” Biointerphases 15, no. 2 (2020). https://doi.org/10.1116/1.5140619.","short":"A. Gödde, C. Leppin, F.S. Meyer, A. Langhoff, J. Hartl, P. Garidel, D. Johannsmann, Biointerphases 15 (2020).","ieee":"A. Gödde et al., “Fast pH-mediated changes of the viscosity of protein solutions studied with a voltage-modulated quartz crystal microbalance,” Biointerphases, vol. 15, no. 2, Art. no. 021004, 2020, doi: 10.1116/1.5140619.","apa":"Gödde, A., Leppin, C., Meyer, F. S., Langhoff, A., Hartl, J., Garidel, P., & Johannsmann, D. (2020). Fast pH-mediated changes of the viscosity of protein solutions studied with a voltage-modulated quartz crystal microbalance. Biointerphases, 15(2), Article 021004. https://doi.org/10.1116/1.5140619"},"status":"public","volume":15,"user_id":"117722","_id":"63240","publisher":"American Vacuum Society","abstract":[{"lang":"eng","text":"An electrochemical quartz crystal microbalance is described, which achieves a time resolution down to 100 μs. Accumulation and averaging over a few hours bring the noise down to about 30 mHz. The application examples are pH-driven viscosity changes in albumin solutions. The pH was switched with the electrode potential. The characteristic response time is in the millisecond range. The focus is on experimental aspects as well as advantages and limitations of the technique."}],"extern":"1","publication":"Biointerphases","issue":"2","type":"journal_article","date_created":"2025-12-18T17:31:15Z","intvolume":" 15","date_updated":"2025-12-18T17:35:30Z","publication_status":"published","publication_identifier":{"issn":["1934-8630","1559-4106"]},"author":[{"first_name":"Alexander","last_name":"Gödde","full_name":"Gödde, Alexander"},{"id":"117722","full_name":"Leppin, Christian","last_name":"Leppin","first_name":"Christian"},{"full_name":"Meyer, Frederick S.","last_name":"Meyer","first_name":"Frederick S."},{"full_name":"Langhoff, Arne","last_name":"Langhoff","first_name":"Arne"},{"full_name":"Hartl, Josef","last_name":"Hartl","first_name":"Josef"},{"full_name":"Garidel, Patrick","first_name":"Patrick","last_name":"Garidel"},{"last_name":"Johannsmann","first_name":"Diethelm","full_name":"Johannsmann, Diethelm"}],"year":"2020","title":"Fast pH-mediated changes of the viscosity of protein solutions studied with a voltage-modulated quartz crystal microbalance","doi":"10.1116/1.5140619","language":[{"iso":"eng"}],"article_number":"021004"},{"abstract":[{"lang":"eng","text":"Abstract\r\n The chemotaxis-growth system\r\n \r\n \r\n ($\\star$)\r\n \r\n \r\n \r\n {\r\n \r\n \r\n \r\n \r\n u\r\n t\r\n \r\n \r\n \r\n \r\n \r\n \r\n =\r\n \r\n \r\n \r\n \r\n D\r\n \r\n Δ\r\n \r\n u\r\n \r\n -\r\n \r\n \r\n χ\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 \r\n v\r\n \r\n \r\n )\r\n \r\n \r\n \r\n +\r\n \r\n ρ\r\n \r\n u\r\n \r\n \r\n -\r\n \r\n μ\r\n \r\n \r\n u\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 v\r\n t\r\n \r\n \r\n \r\n \r\n \r\n =\r\n \r\n \r\n \r\n d\r\n \r\n Δ\r\n \r\n v\r\n \r\n -\r\n \r\n κ\r\n \r\n v\r\n \r\n \r\n +\r\n \r\n λ\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 {}\\left\\{\\begin{aligned} \\displaystyle{}u_{t}&\\displaystyle=D\\Delta u-\\chi% \\nabla\\cdot(u\\nabla v)+\\rho u-\\mu u^{\\alpha},\\\\ \\displaystyle v_{t}&\\displaystyle=d\\Delta v-\\kappa v+\\lambda u\\end{aligned}\\right.\r\n \r\n \r\n \r\n is considered under homogeneous Neumann boundary conditions in smoothly bounded domains \r\n \r\n \r\n \r\n Ω\r\n ⊂\r\n \r\n ℝ\r\n n\r\n \r\n \r\n \r\n \r\n {\\Omega\\subset\\mathbb{R}^{n}}\r\n \r\n , \r\n \r\n \r\n \r\n n\r\n ≥\r\n 1\r\n \r\n \r\n \r\n {n\\geq 1}\r\n \r\n . For any choice of \r\n \r\n \r\n \r\n α\r\n >\r\n 1\r\n \r\n \r\n \r\n {\\alpha>1}\r\n \r\n , the literature provides a comprehensive result on global existence for widely arbitrary initial data within a suitably generalized solution concept, but the regularity properties of such solutions may be rather poor, as indicated by precedent results on the occurrence of finite-time blow-up in corresponding parabolic-elliptic simplifications. Based on the analysis of a certain eventual Lyapunov-type feature of ($\\star$), the present work shows that, whenever \r\n \r\n \r\n \r\n α\r\n ≥\r\n \r\n 2\r\n -\r\n \r\n 2\r\n n\r\n \r\n \r\n \r\n \r\n \r\n {\\alpha\\geq 2-\\frac{2}{n}}\r\n \r\n , under an appropriate smallness assumption on χ, any such solution at least asymptotically exhibits relaxation by approaching the nontrivial spatially homogeneous steady state \r\n \r\n \r\n \r\n (\r\n \r\n \r\n (\r\n \r\n ρ\r\n μ\r\n \r\n )\r\n \r\n \r\n 1\r\n \r\n α\r\n -\r\n 1\r\n \r\n \r\n \r\n ,\r\n \r\n \r\n λ\r\n κ\r\n \r\n \r\n \r\n \r\n (\r\n \r\n ρ\r\n μ\r\n \r\n )\r\n \r\n \r\n 1\r\n \r\n α\r\n -\r\n 1\r\n \r\n \r\n \r\n \r\n )\r\n \r\n \r\n \r\n {\\bigl{(}\\bigl{(}\\frac{\\rho}{\\mu}\\bigr{)}^{\\frac{1}{\\alpha-1}},\\frac{\\lambda}{% \\kappa}\\bigl{(}\\frac{\\rho}{\\mu}\\bigr{)}^{\\frac{1}{\\alpha-1}}\\bigr{)}}\r\n \r\n in the large time limit."}],"issue":"4","publication":"Advanced Nonlinear Studies","type":"journal_article","date_created":"2025-12-18T19:46:54Z","publication_status":"published","date_updated":"2025-12-18T19:58:22Z","intvolume":" 20","title":"Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions","year":"2020","author":[{"id":"31496","full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"publication_identifier":{"issn":["1536-1365","2169-0375"]},"doi":"10.1515/ans-2020-2107","language":[{"iso":"eng"}],"citation":{"ama":"Winkler M. Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions. Advanced Nonlinear Studies. 2020;20(4):795-817. doi:10.1515/ans-2020-2107","bibtex":"@article{Winkler_2020, title={Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions}, volume={20}, DOI={10.1515/ans-2020-2107}, number={4}, journal={Advanced Nonlinear Studies}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2020}, pages={795–817} }","mla":"Winkler, Michael. “Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions.” Advanced Nonlinear Studies, vol. 20, no. 4, Walter de Gruyter GmbH, 2020, pp. 795–817, doi:10.1515/ans-2020-2107.","short":"M. Winkler, Advanced Nonlinear Studies 20 (2020) 795–817.","chicago":"Winkler, Michael. “Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions.” Advanced Nonlinear Studies 20, no. 4 (2020): 795–817. https://doi.org/10.1515/ans-2020-2107.","apa":"Winkler, M. (2020). Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions. Advanced Nonlinear Studies, 20(4), 795–817. https://doi.org/10.1515/ans-2020-2107","ieee":"M. Winkler, “Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions,” Advanced Nonlinear Studies, vol. 20, no. 4, pp. 795–817, 2020, doi: 10.1515/ans-2020-2107."},"status":"public","user_id":"31496","volume":20,"page":"795-817","_id":"63340","publisher":"Walter de Gruyter GmbH"},{"type":"journal_article","date_created":"2025-12-18T19:47:51Z","abstract":[{"lang":"eng","text":"AbstractIn a bounded planar domain $\\varOmega $\r\n Ω\r\n with smooth boundary, the initial-boundary value problem of homogeneous Neumann type for the Keller-Segel-fluid system \r\n\t\t\t $$\\begin{aligned} \\left \\{ \\textstyle\\begin{array}{l@{\\quad }l} n_{t} + \\nabla \\cdot (nu) = \\Delta n - \\nabla \\cdot (n\\nabla c), & x\\in \\varOmega , \\ t>0, \\\\ 0 = \\Delta c -c+n, & x\\in \\varOmega , \\ t>0, \\end{array}\\displaystyle \\right . \\end{aligned}$$ \r\n \r\n {\r\n \r\n \r\n \r\n \r\n n\r\n t\r\n \r\n +\r\n ∇\r\n ⋅\r\n (\r\n n\r\n u\r\n )\r\n =\r\n Δ\r\n n\r\n −\r\n ∇\r\n ⋅\r\n (\r\n n\r\n ∇\r\n c\r\n )\r\n ,\r\n \r\n \r\n x\r\n ∈\r\n Ω\r\n ,\r\n \r\n t\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n 0\r\n =\r\n Δ\r\n c\r\n −\r\n c\r\n +\r\n n\r\n ,\r\n \r\n \r\n x\r\n ∈\r\n Ω\r\n ,\r\n \r\n t\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n is considered, where $u$\r\n u\r\n is a given sufficiently smooth velocity field on $\\overline {\\varOmega }\\times [0,\\infty )$\r\n \r\n Ω\r\n ‾\r\n \r\n ×\r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n that is tangential on $\\partial \\varOmega $\r\n ∂\r\n Ω\r\n but not necessarily solenoidal.It is firstly shown that for any choice of $n_{0}\\in C^{0}(\\overline {\\varOmega })$\r\n \r\n n\r\n 0\r\n \r\n ∈\r\n \r\n C\r\n 0\r\n \r\n (\r\n \r\n Ω\r\n ‾\r\n \r\n )\r\n with $\\int _{\\varOmega}n_{0}<4\\pi $\r\n \r\n ∫\r\n Ω\r\n \r\n \r\n n\r\n 0\r\n \r\n <\r\n 4\r\n π\r\n , this problem admits a global classical solution with $n(\\cdot ,0)=n_{0}$\r\n n\r\n (\r\n ⋅\r\n ,\r\n 0\r\n )\r\n =\r\n \r\n n\r\n 0\r\n \r\n , and that this solution is even bounded whenever $u$\r\n u\r\n is bounded and $\\int _{\\varOmega}n_{0}<2\\pi $\r\n \r\n ∫\r\n Ω\r\n \r\n \r\n n\r\n 0\r\n \r\n <\r\n 2\r\n π\r\n . Secondly, it is seen that for each $m>4\\pi $\r\n m\r\n >\r\n 4\r\n π\r\n one can find a classical solution with $\\int _{\\varOmega}n(\\cdot ,0)=m$\r\n \r\n ∫\r\n Ω\r\n \r\n n\r\n (\r\n ⋅\r\n ,\r\n 0\r\n )\r\n =\r\n m\r\n which blows up in finite time, provided that $\\varOmega $\r\n Ω\r\n satisfies a technical assumption requiring $\\partial \\varOmega $\r\n ∂\r\n Ω\r\n to contain a line segment.In particular, this indicates that the value $4\\pi $\r\n 4\r\n π\r\n of the critical mass for the corresponding fluid-free Keller-Segel system is left unchanged by any fluid interaction of the considered type, thus marking a considerable contrast to a recent result revealing some fluid-induced increase of critical blow-up masses in a related Cauchy problem in the entire plane."}],"publication":"Acta Applicandae Mathematicae","issue":"1","doi":"10.1007/s10440-020-00312-2","language":[{"iso":"eng"}],"intvolume":" 169","publication_status":"published","date_updated":"2025-12-18T19:57:40Z","publication_identifier":{"issn":["0167-8019","1572-9036"]},"author":[{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael","id":"31496"}],"year":"2020","title":"Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?","citation":{"apa":"Winkler, M. (2020). Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains? Acta Applicandae Mathematicae, 169(1), 577–591. https://doi.org/10.1007/s10440-020-00312-2","ieee":"M. Winkler, “Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?,” Acta Applicandae Mathematicae, vol. 169, no. 1, pp. 577–591, 2020, doi: 10.1007/s10440-020-00312-2.","short":"M. Winkler, Acta Applicandae Mathematicae 169 (2020) 577–591.","chicago":"Winkler, Michael. “Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?” Acta Applicandae Mathematicae 169, no. 1 (2020): 577–91. https://doi.org/10.1007/s10440-020-00312-2.","mla":"Winkler, Michael. “Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?” Acta Applicandae Mathematicae, vol. 169, no. 1, Springer Science and Business Media LLC, 2020, pp. 577–91, doi:10.1007/s10440-020-00312-2.","ama":"Winkler M. Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains? Acta Applicandae Mathematicae. 2020;169(1):577-591. doi:10.1007/s10440-020-00312-2","bibtex":"@article{Winkler_2020, title={Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?}, volume={169}, DOI={10.1007/s10440-020-00312-2}, number={1}, journal={Acta Applicandae Mathematicae}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2020}, pages={577–591} }"},"volume":169,"user_id":"31496","_id":"63342","publisher":"Springer Science and Business Media LLC","page":"577-591","status":"public"},{"date_created":"2025-12-18T19:44:38Z","type":"journal_article","publication":"Journal d'Analyse Mathématique","issue":"2","citation":{"ieee":"M. Winkler, “Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system,” Journal d’Analyse Mathématique, vol. 141, no. 2, pp. 585–624, 2020, doi: 10.1007/s11854-020-0109-4.","apa":"Winkler, M. (2020). Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system. Journal d’Analyse Mathématique, 141(2), 585–624. https://doi.org/10.1007/s11854-020-0109-4","chicago":"Winkler, Michael. “Blow-up Profiles and Life beyond Blow-up in the Fully Parabolic Keller-Segel System.” Journal d’Analyse Mathématique 141, no. 2 (2020): 585–624. https://doi.org/10.1007/s11854-020-0109-4.","short":"M. Winkler, Journal d’Analyse Mathématique 141 (2020) 585–624.","mla":"Winkler, Michael. “Blow-up Profiles and Life beyond Blow-up in the Fully Parabolic Keller-Segel System.” Journal d’Analyse Mathématique, vol. 141, no. 2, Springer Science and Business Media LLC, 2020, pp. 585–624, doi:10.1007/s11854-020-0109-4.","bibtex":"@article{Winkler_2020, title={Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system}, volume={141}, DOI={10.1007/s11854-020-0109-4}, number={2}, journal={Journal d’Analyse Mathématique}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2020}, pages={585–624} }","ama":"Winkler M. Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system. Journal d’Analyse Mathématique. 2020;141(2):585-624. doi:10.1007/s11854-020-0109-4"},"page":"585-624","language":[{"iso":"eng"}],"_id":"63336","publisher":"Springer Science and Business Media LLC","doi":"10.1007/s11854-020-0109-4","user_id":"31496","volume":141,"status":"public","title":"Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system","year":"2020","author":[{"id":"31496","last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"publication_identifier":{"issn":["0021-7670","1565-8538"]},"date_updated":"2025-12-18T19:56:40Z","publication_status":"published","intvolume":" 141"},{"type":"journal_article","date_created":"2025-12-18T19:38:02Z","abstract":[{"lang":"eng","text":"AbstractRecent experimental work has revealed that interstitial fluid flow can mobilize two types of tumor cell migration mechanisms. One is a chemotactic-driven mechanism where chemokine (chemical component) bounded to the extracellular matrix (ECM) is released and skewed in the flow direction. This leads to higher chemical concentrations downstream which the tumor cells can sense and migrate toward. The other is a mechanism where the flowing fluid imposes a stress on the tumor cells which triggers them to go in the upstream direction. Researchers have suggested that these two migration modes possibly can play a role in metastatic behavior, i.e., the process where tumor cells are able to break loose from the primary tumor and move to nearby lymphatic vessels. In Waldeland and Evje (J Biomech 81:22–35, 2018), a mathematical cell–fluid model was put forward based on a mixture theory formulation. It was demonstrated that the model was able to capture the main characteristics of the two competing migration mechanisms. The objective of the current work is to seek deeper insight into certain qualitative aspects of these competing mechanisms by means of mathematical methods. For that purpose, we propose a simpler version of the cell–fluid model mentioned above but such that the two competing migration mechanisms are retained. An initial cell distribution in a one-dimensional slab is exposed to a constant fluid flow from one end to the other, consistent with the experimental setup. Then, we explore by means of analytical estimates the long-time behavior of the two competing migration mechanisms for two different scenarios: (i) when the initial cell volume fraction is low and (ii) when the initial cell volume fraction is high. In particular, it is demonstrated in a strict mathematical sense that for a sufficiently low initial cell volume fraction, the downstream migration dominates in the sense that the solution converges to a downstream-dominated steady state as time elapses. On the other hand, with a sufficiently high initial cell volume fraction, the upstream migration mechanism is the stronger in the sense that the solution converges to an upstream-dominated steady state.\r\n"}],"issue":"4","publication":"Journal of Nonlinear Science","doi":"10.1007/s00332-020-09625-w","language":[{"iso":"eng"}],"date_updated":"2025-12-18T20:00:26Z","publication_status":"published","intvolume":" 30","year":"2020","title":"Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow","author":[{"full_name":"Evje, Steinar","first_name":"Steinar","last_name":"Evje"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael","id":"31496"}],"publication_identifier":{"issn":["0938-8974","1432-1467"]},"citation":{"bibtex":"@article{Evje_Winkler_2020, title={Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow}, volume={30}, DOI={10.1007/s00332-020-09625-w}, number={4}, journal={Journal of Nonlinear Science}, publisher={Springer Science and Business Media LLC}, author={Evje, Steinar and Winkler, Michael}, year={2020}, pages={1809–1847} }","ama":"Evje S, Winkler M. Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow. Journal of Nonlinear Science. 2020;30(4):1809-1847. doi:10.1007/s00332-020-09625-w","mla":"Evje, Steinar, and Michael Winkler. “Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow.” Journal of Nonlinear Science, vol. 30, no. 4, Springer Science and Business Media LLC, 2020, pp. 1809–47, doi:10.1007/s00332-020-09625-w.","short":"S. Evje, M. Winkler, Journal of Nonlinear Science 30 (2020) 1809–1847.","chicago":"Evje, Steinar, and Michael Winkler. “Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow.” Journal of Nonlinear Science 30, no. 4 (2020): 1809–47. https://doi.org/10.1007/s00332-020-09625-w.","ieee":"S. Evje and M. Winkler, “Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow,” Journal of Nonlinear Science, vol. 30, no. 4, pp. 1809–1847, 2020, doi: 10.1007/s00332-020-09625-w.","apa":"Evje, S., & Winkler, M. (2020). Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow. Journal of Nonlinear Science, 30(4), 1809–1847. https://doi.org/10.1007/s00332-020-09625-w"},"user_id":"31496","volume":30,"page":"1809-1847","_id":"63329","publisher":"Springer Science and Business Media LLC","status":"public"},{"language":[{"iso":"eng"}],"doi":"10.1142/s0218202520500396","title":"Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation","year":"2020","author":[{"last_name":"Rodríguez","first_name":"Nancy","full_name":"Rodríguez, Nancy"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael","id":"31496"}],"publication_identifier":{"issn":["0218-2025","1793-6314"]},"date_updated":"2025-12-18T20:00:53Z","publication_status":"published","intvolume":" 30","date_created":"2025-12-18T19:38:42Z","type":"journal_article","publication":"Mathematical Models and Methods in Applied Sciences","issue":"11","abstract":[{"text":" We consider a class of macroscopic models for the spatio-temporal evolution of urban crime, as originally going back to Ref. 29 [M. B. Short, M. R. D’Orsogna, V. B. Pasour, G. E. Tita, P. J. Brantingham, A. L. Bertozzi and L. B. Chayes, A statistical model of criminal behavior, Math. Models Methods Appl. Sci. 18 (2008) 1249–1267]. The focus here is on the question of how far a certain porous medium enhancement in the random diffusion of criminal agents may exert visible relaxation effects. It is shown that sufficient regularity of the non-negative source terms in the system and a sufficiently strong nonlinear enhancement ensure that a corresponding Neumann-type initial–boundary value problem, posed in a smoothly bounded planar convex domain, admits locally bounded solutions for a wide class of arbitrary initial data. Furthermore, this solution is globally bounded under mild additional conditions on the source terms. These results are supplemented by numerical evidence which illustrates smoothing effects in solutions with sharply structured initial data in the presence of such porous medium-type diffusion and support the existence of singular structures in the linear diffusion case, which is the type of diffusion proposed in Ref. 29. ","lang":"eng"}],"page":"2105-2137","_id":"63331","publisher":"World Scientific Pub Co Pte Ltd","user_id":"31496","volume":30,"status":"public","citation":{"apa":"Rodríguez, N., & Winkler, M. (2020). Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models and Methods in Applied Sciences, 30(11), 2105–2137. https://doi.org/10.1142/s0218202520500396","ieee":"N. Rodríguez and M. Winkler, “Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation,” Mathematical Models and Methods in Applied Sciences, vol. 30, no. 11, pp. 2105–2137, 2020, doi: 10.1142/s0218202520500396.","short":"N. Rodríguez, M. Winkler, Mathematical Models and Methods in Applied Sciences 30 (2020) 2105–2137.","chicago":"Rodríguez, Nancy, and Michael Winkler. “Relaxation by Nonlinear Diffusion Enhancement in a Two-Dimensional Cross-Diffusion Model for Urban Crime Propagation.” Mathematical Models and Methods in Applied Sciences 30, no. 11 (2020): 2105–37. https://doi.org/10.1142/s0218202520500396.","mla":"Rodríguez, Nancy, and Michael Winkler. “Relaxation by Nonlinear Diffusion Enhancement in a Two-Dimensional Cross-Diffusion Model for Urban Crime Propagation.” Mathematical Models and Methods in Applied Sciences, vol. 30, no. 11, World Scientific Pub Co Pte Ltd, 2020, pp. 2105–37, doi:10.1142/s0218202520500396.","ama":"Rodríguez N, Winkler M. Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models and Methods in Applied Sciences. 2020;30(11):2105-2137. doi:10.1142/s0218202520500396","bibtex":"@article{Rodríguez_Winkler_2020, title={Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation}, volume={30}, DOI={10.1142/s0218202520500396}, number={11}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Rodríguez, Nancy and Winkler, Michael}, year={2020}, pages={2105–2137} }"}},{"page":"4383-4396","_id":"63330","publisher":"American Institute of Mathematical Sciences (AIMS)","language":[{"iso":"eng"}],"user_id":"31496","doi":"10.3934/dcdsb.2020102","volume":25,"title":"Large time behavior in a predator-prey system with indirect pursuit-evasion interaction","status":"public","year":"2020","publication_identifier":{"issn":["1531-3492","1553-524X"]},"author":[{"first_name":"Genglin","last_name":"Li","full_name":"Li, Genglin"},{"full_name":"Tao, Youshan","first_name":"Youshan","last_name":"Tao"},{"id":"31496","full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"publication_status":"published","date_updated":"2025-12-18T20:00:40Z","intvolume":" 25","date_created":"2025-12-18T19:38:22Z","type":"journal_article","publication":"Discrete and Continuous Dynamical Systems - B","issue":"11","citation":{"short":"G. Li, Y. Tao, M. Winkler, Discrete and Continuous Dynamical Systems - B 25 (2020) 4383–4396.","chicago":"Li, Genglin, Youshan Tao, and Michael Winkler. “Large Time Behavior in a Predator-Prey System with Indirect Pursuit-Evasion Interaction.” Discrete and Continuous Dynamical Systems - B 25, no. 11 (2020): 4383–96. https://doi.org/10.3934/dcdsb.2020102.","apa":"Li, G., Tao, Y., & Winkler, M. (2020). Large time behavior in a predator-prey system with indirect pursuit-evasion interaction. Discrete and Continuous Dynamical Systems - B, 25(11), 4383–4396. https://doi.org/10.3934/dcdsb.2020102","ieee":"G. Li, Y. Tao, and M. Winkler, “Large time behavior in a predator-prey system with indirect pursuit-evasion interaction,” Discrete and Continuous Dynamical Systems - B, vol. 25, no. 11, pp. 4383–4396, 2020, doi: 10.3934/dcdsb.2020102.","ama":"Li G, Tao Y, Winkler M. Large time behavior in a predator-prey system with indirect pursuit-evasion interaction. Discrete and Continuous Dynamical Systems - B. 2020;25(11):4383-4396. doi:10.3934/dcdsb.2020102","bibtex":"@article{Li_Tao_Winkler_2020, title={Large time behavior in a predator-prey system with indirect pursuit-evasion interaction}, volume={25}, DOI={10.3934/dcdsb.2020102}, number={11}, journal={Discrete and Continuous Dynamical Systems - B}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Li, Genglin and Tao, Youshan and Winkler, Michael}, year={2020}, pages={4383–4396} }","mla":"Li, Genglin, et al. “Large Time Behavior in a Predator-Prey System with Indirect Pursuit-Evasion Interaction.” Discrete and Continuous Dynamical Systems - B, vol. 25, no. 11, American Institute of Mathematical Sciences (AIMS), 2020, pp. 4383–96, doi:10.3934/dcdsb.2020102."}}]