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Schumacher, Physical Review Letters 121 (2018).","mla":"Ma, Xuekai, and Stefan Schumacher. “Vortex Multistability and Bessel Vortices in Polariton Condensates.” <i>Physical Review Letters</i>, vol. 121, no. 22, 227404, APS, 2018, doi:<a href=\"https://doi.org/10.1103/physrevlett.121.227404\">10.1103/physrevlett.121.227404</a>.","bibtex":"@article{Ma_Schumacher_2018, title={Vortex Multistability and Bessel Vortices in Polariton Condensates.}, volume={121}, DOI={<a href=\"https://doi.org/10.1103/physrevlett.121.227404\">10.1103/physrevlett.121.227404</a>}, number={22227404}, journal={Physical Review Letters}, publisher={APS}, author={Ma, Xuekai and Schumacher, Stefan}, year={2018} }"},"department":[{"_id":"15"},{"_id":"230"},{"_id":"429"},{"_id":"170"},{"_id":"297"},{"_id":"705"},{"_id":"35"}],"author":[{"full_name":"Ma, Xuekai","first_name":"Xuekai","id":"59416","last_name":"Ma"},{"orcid":"0000-0003-4042-4951","id":"27271","last_name":"Schumacher","first_name":"Stefan","full_name":"Schumacher, Stefan"}],"article_type":"original","intvolume":"       121","volume":121,"issue":"22","article_number":"227404","publication":"Physical Review Letters","type":"journal_article","user_id":"16199","external_id":{"pmid":["30547643"]},"title":"Vortex Multistability and Bessel Vortices in Polariton Condensates.","pmid":"1","doi":"10.1103/physrevlett.121.227404","project":[{"name":"TRR 142","_id":"53"},{"name":"TRR 142 - Project Area A","_id":"54"},{"_id":"61","name":"TRR 142 - Subproject A4"},{"_id":"53","name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"}]},{"project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"intvolume":"        35","doi":"10.1364/josab.35.000146","title":"Theory of optically controlled anisotropic polariton transport in semiconductor double microcavities","author":[{"last_name":"Luk","first_name":"Samuel M. H.","full_name":"Luk, Samuel M. H."},{"last_name":"Lewandowski","full_name":"Lewandowski, P.","first_name":"P."},{"last_name":"Kwong","full_name":"Kwong, N. H.","first_name":"N. H."},{"first_name":"E.","full_name":"Baudin, E.","last_name":"Baudin"},{"last_name":"Lafont","full_name":"Lafont, O.","first_name":"O."},{"full_name":"Tignon, J.","first_name":"J.","last_name":"Tignon"},{"full_name":"Leung, P. T.","first_name":"P. T.","last_name":"Leung"},{"last_name":"Chan","full_name":"Chan, Ch. K. P.","first_name":"Ch. K. P."},{"full_name":"Babilon, M.","first_name":"M.","last_name":"Babilon"},{"orcid":"0000-0003-4042-4951","first_name":"Stefan","full_name":"Schumacher, Stefan","last_name":"Schumacher","id":"27271"},{"last_name":"Binder","full_name":"Binder, R.","first_name":"R."}],"department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"230"},{"_id":"429"},{"_id":"27"},{"_id":"35"}],"citation":{"bibtex":"@article{Luk_Lewandowski_Kwong_Baudin_Lafont_Tignon_Leung_Chan_Babilon_Schumacher_et al._2018, title={Theory of optically controlled anisotropic polariton transport in semiconductor double microcavities}, volume={35}, DOI={<a href=\"https://doi.org/10.1364/josab.35.000146\">10.1364/josab.35.000146</a>}, number={1146}, journal={Journal of the Optical Society of America B}, author={Luk, Samuel M. H. and Lewandowski, P. and Kwong, N. H. and Baudin, E. and Lafont, O. and Tignon, J. and Leung, P. T. and Chan, Ch. K. P. and Babilon, M. and Schumacher, Stefan and et al.}, year={2018} }","mla":"Luk, Samuel M. H., et al. “Theory of Optically Controlled Anisotropic Polariton Transport in Semiconductor Double Microcavities.” <i>Journal of the Optical Society of America B</i>, vol. 35, no. 1, 146, 2018, doi:<a href=\"https://doi.org/10.1364/josab.35.000146\">10.1364/josab.35.000146</a>.","short":"S.M.H. Luk, P. Lewandowski, N.H. Kwong, E. Baudin, O. Lafont, J. Tignon, P.T. Leung, Ch.K.P. Chan, M. Babilon, S. Schumacher, R. Binder, Journal of the Optical Society of America B 35 (2018).","apa":"Luk, S. M. H., Lewandowski, P., Kwong, N. H., Baudin, E., Lafont, O., Tignon, J., Leung, P. T., Chan, Ch. K. P., Babilon, M., Schumacher, S., &#38; Binder, R. (2018). Theory of optically controlled anisotropic polariton transport in semiconductor double microcavities. <i>Journal of the Optical Society of America B</i>, <i>35</i>(1), Article 146. <a href=\"https://doi.org/10.1364/josab.35.000146\">https://doi.org/10.1364/josab.35.000146</a>","ama":"Luk SMH, Lewandowski P, Kwong NH, et al. Theory of optically controlled anisotropic polariton transport in semiconductor double microcavities. <i>Journal of the Optical Society of America B</i>. 2018;35(1). doi:<a href=\"https://doi.org/10.1364/josab.35.000146\">10.1364/josab.35.000146</a>","ieee":"S. M. H. Luk <i>et al.</i>, “Theory of optically controlled anisotropic polariton transport in semiconductor double microcavities,” <i>Journal of the Optical Society of America B</i>, vol. 35, no. 1, Art. no. 146, 2018, doi: <a href=\"https://doi.org/10.1364/josab.35.000146\">10.1364/josab.35.000146</a>.","chicago":"Luk, Samuel M. H., P. Lewandowski, N. H. Kwong, E. Baudin, O. Lafont, J. Tignon, P. T. Leung, et al. “Theory of Optically Controlled Anisotropic Polariton Transport in Semiconductor Double Microcavities.” <i>Journal of the Optical Society of America B</i> 35, no. 1 (2018). <a href=\"https://doi.org/10.1364/josab.35.000146\">https://doi.org/10.1364/josab.35.000146</a>."},"publication_status":"published","user_id":"16199","language":[{"iso":"eng"}],"type":"journal_article","publication_identifier":{"issn":["0740-3224","1520-8540"]},"year":"2018","status":"public","date_created":"2019-09-19T13:50:06Z","publication":"Journal of the Optical Society of America B","article_number":"146","issue":"1","date_updated":"2025-12-05T14:33:42Z","_id":"13348","volume":35},{"publication":"Physical Review B","date_created":"2019-09-19T13:57:23Z","funded_apc":"1","type":"journal_article","publication_identifier":{"issn":["2469-9950","2469-9969"]},"year":"2018","language":[{"iso":"eng"}],"status":"public","_id":"13351","volume":97,"date_updated":"2025-12-05T14:34:12Z","issue":"12","title":"Microscopic theory of cavity-enhanced single-photon emission from optical two-photon Raman processes","author":[{"first_name":"Dominik","full_name":"Breddermann, Dominik","last_name":"Breddermann"},{"full_name":"Praschan, Tom","first_name":"Tom","last_name":"Praschan"},{"id":"10904","last_name":"Heinze","first_name":"Dirk Florian","full_name":"Heinze, Dirk Florian"},{"full_name":"Binder, Rolf","first_name":"Rolf","last_name":"Binder"},{"orcid":"0000-0003-4042-4951","full_name":"Schumacher, Stefan","first_name":"Stefan","last_name":"Schumacher","id":"27271"}],"project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"name":"TRR 142: TRR 142","_id":"53"},{"_id":"54","name":"TRR 142 - A: TRR 142 - Project Area A"},{"_id":"60","name":"TRR 142 - A03: TRR 142 - Subproject A03"}],"intvolume":"        97","doi":"10.1103/physrevb.97.125303","citation":{"mla":"Breddermann, Dominik, et al. “Microscopic Theory of Cavity-Enhanced Single-Photon Emission from Optical Two-Photon Raman Processes.” <i>Physical Review B</i>, vol. 97, no. 12, 2018, doi:<a href=\"https://doi.org/10.1103/physrevb.97.125303\">10.1103/physrevb.97.125303</a>.","apa":"Breddermann, D., Praschan, T., Heinze, D. F., Binder, R., &#38; Schumacher, S. (2018). Microscopic theory of cavity-enhanced single-photon emission from optical two-photon Raman processes. <i>Physical Review B</i>, <i>97</i>(12). <a href=\"https://doi.org/10.1103/physrevb.97.125303\">https://doi.org/10.1103/physrevb.97.125303</a>","ama":"Breddermann D, Praschan T, Heinze DF, Binder R, Schumacher S. Microscopic theory of cavity-enhanced single-photon emission from optical two-photon Raman processes. <i>Physical Review B</i>. 2018;97(12). doi:<a href=\"https://doi.org/10.1103/physrevb.97.125303\">10.1103/physrevb.97.125303</a>","bibtex":"@article{Breddermann_Praschan_Heinze_Binder_Schumacher_2018, title={Microscopic theory of cavity-enhanced single-photon emission from optical two-photon Raman processes}, volume={97}, DOI={<a href=\"https://doi.org/10.1103/physrevb.97.125303\">10.1103/physrevb.97.125303</a>}, number={12}, journal={Physical Review B}, author={Breddermann, Dominik and Praschan, Tom and Heinze, Dirk Florian and Binder, Rolf and Schumacher, Stefan}, year={2018} }","chicago":"Breddermann, Dominik, Tom Praschan, Dirk Florian Heinze, Rolf Binder, and Stefan Schumacher. “Microscopic Theory of Cavity-Enhanced Single-Photon Emission from Optical Two-Photon Raman Processes.” <i>Physical Review B</i> 97, no. 12 (2018). <a href=\"https://doi.org/10.1103/physrevb.97.125303\">https://doi.org/10.1103/physrevb.97.125303</a>.","short":"D. Breddermann, T. Praschan, D.F. Heinze, R. Binder, S. Schumacher, Physical Review B 97 (2018).","ieee":"D. Breddermann, T. Praschan, D. F. Heinze, R. Binder, and S. Schumacher, “Microscopic theory of cavity-enhanced single-photon emission from optical two-photon Raman processes,” <i>Physical Review B</i>, vol. 97, no. 12, 2018, doi: <a href=\"https://doi.org/10.1103/physrevb.97.125303\">10.1103/physrevb.97.125303</a>."},"user_id":"16199","publication_status":"published","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"230"},{"_id":"429"},{"_id":"35"},{"_id":"27"}]},{"department":[{"_id":"386"},{"_id":"33"}],"citation":{"short":"H. van Vorst, S. Fechner, E. Sumfleth, Zeitschrift für Didaktik der Naturwissenschaften 24 (2018) 167–181.","mla":"van Vorst, Helena, et al. “Unterscheidung von Kontexten für den Chemieunterricht.” <i>Zeitschrift für Didaktik der Naturwissenschaften</i>, vol. 24, no. 1, 2018, pp. 167–81, doi:<a href=\"https://doi.org/10.1007/s40573-018-0081-z\">10.1007/s40573-018-0081-z</a>.","bibtex":"@article{van Vorst_Fechner_Sumfleth_2018, title={Unterscheidung von Kontexten für den Chemieunterricht}, volume={24}, DOI={<a href=\"https://doi.org/10.1007/s40573-018-0081-z\">10.1007/s40573-018-0081-z</a>}, number={1}, journal={Zeitschrift für Didaktik der Naturwissenschaften}, author={van Vorst, Helena and Fechner, Sabine and Sumfleth, Elke}, year={2018}, pages={167–181} }","chicago":"Vorst, Helena van, Sabine Fechner, and Elke Sumfleth. “Unterscheidung von Kontexten für den Chemieunterricht.” <i>Zeitschrift für Didaktik der Naturwissenschaften</i> 24, no. 1 (2018): 167–81. <a href=\"https://doi.org/10.1007/s40573-018-0081-z\">https://doi.org/10.1007/s40573-018-0081-z</a>.","ieee":"H. van Vorst, S. Fechner, and E. Sumfleth, “Unterscheidung von Kontexten für den Chemieunterricht,” <i>Zeitschrift für Didaktik der Naturwissenschaften</i>, vol. 24, no. 1, pp. 167–181, 2018, doi: <a href=\"https://doi.org/10.1007/s40573-018-0081-z\">10.1007/s40573-018-0081-z</a>.","ama":"van Vorst H, Fechner S, Sumfleth E. Unterscheidung von Kontexten für den Chemieunterricht. <i>Zeitschrift für Didaktik der Naturwissenschaften</i>. 2018;24(1):167-181. doi:<a href=\"https://doi.org/10.1007/s40573-018-0081-z\">10.1007/s40573-018-0081-z</a>","apa":"van Vorst, H., Fechner, S., &#38; Sumfleth, E. (2018). Unterscheidung von Kontexten für den Chemieunterricht. <i>Zeitschrift für Didaktik der Naturwissenschaften</i>, <i>24</i>(1), 167–181. <a href=\"https://doi.org/10.1007/s40573-018-0081-z\">https://doi.org/10.1007/s40573-018-0081-z</a>"},"publication_status":"published","intvolume":"        24","author":[{"last_name":"van Vorst","full_name":"van Vorst, Helena","first_name":"Helena"},{"id":"54823","last_name":"Fechner","first_name":"Sabine","full_name":"Fechner, Sabine","orcid":"0000-0001-5645-5870"},{"full_name":"Sumfleth, Elke","first_name":"Elke","last_name":"Sumfleth"}],"date_updated":"2025-12-11T13:32:13Z","_id":"23749","language":[{"iso":"ger"}],"year":"2018","publication_identifier":{"issn":["0949-1147","2197-988X"]},"status":"public","date_created":"2021-09-03T12:12:47Z","user_id":"54823","doi":"10.1007/s40573-018-0081-z","title":"Unterscheidung von Kontexten für den Chemieunterricht","issue":"1","page":"167-181","volume":24,"type":"journal_article","quality_controlled":"1","publication":"Zeitschrift für Didaktik der Naturwissenschaften"},{"citation":{"bibtex":"@article{Güsken_Nielsen_Nguyen_Maier_Oulton_2018, title={Nanofocusing in SOI-based hybrid plasmonic metal slot waveguides}, volume={26}, DOI={<a href=\"https://doi.org/10.1364/oe.26.030634\">10.1364/oe.26.030634</a>}, number={2330634}, journal={Optics Express}, publisher={Optica Publishing Group}, author={Güsken, Nicholas Alexander and Nielsen, Michael P. and Nguyen, Ngoc B. and Maier, Stefan A. and Oulton, Rupert. F.}, year={2018} }","mla":"Güsken, Nicholas Alexander, et al. “Nanofocusing in SOI-Based Hybrid Plasmonic Metal Slot Waveguides.” <i>Optics Express</i>, vol. 26, no. 23, 30634, Optica Publishing Group, 2018, doi:<a href=\"https://doi.org/10.1364/oe.26.030634\">10.1364/oe.26.030634</a>.","short":"N.A. Güsken, M.P. Nielsen, N.B. Nguyen, S.A. Maier, Rupert.F. Oulton, Optics Express 26 (2018).","ama":"Güsken NA, Nielsen MP, Nguyen NB, Maier SA, Oulton RupertF. Nanofocusing in SOI-based hybrid plasmonic metal slot waveguides. <i>Optics Express</i>. 2018;26(23). doi:<a href=\"https://doi.org/10.1364/oe.26.030634\">10.1364/oe.26.030634</a>","apa":"Güsken, N. A., Nielsen, M. P., Nguyen, N. B., Maier, S. A., &#38; Oulton, Rupert. F. (2018). Nanofocusing in SOI-based hybrid plasmonic metal slot waveguides. <i>Optics Express</i>, <i>26</i>(23), Article 30634. <a href=\"https://doi.org/10.1364/oe.26.030634\">https://doi.org/10.1364/oe.26.030634</a>","ieee":"N. A. Güsken, M. P. Nielsen, N. B. Nguyen, S. A. Maier, and Rupert. F. Oulton, “Nanofocusing in SOI-based hybrid plasmonic metal slot waveguides,” <i>Optics Express</i>, vol. 26, no. 23, Art. no. 30634, 2018, doi: <a href=\"https://doi.org/10.1364/oe.26.030634\">10.1364/oe.26.030634</a>.","chicago":"Güsken, Nicholas Alexander, Michael P. Nielsen, Ngoc B. Nguyen, Stefan A. Maier, and Rupert. F. Oulton. “Nanofocusing in SOI-Based Hybrid Plasmonic Metal Slot Waveguides.” <i>Optics Express</i> 26, no. 23 (2018). <a href=\"https://doi.org/10.1364/oe.26.030634\">https://doi.org/10.1364/oe.26.030634</a>."},"publication_status":"published","user_id":"112030","title":"Nanofocusing in SOI-based hybrid plasmonic metal slot waveguides","author":[{"orcid":"0000-0002-4816-0666","id":"112030","last_name":"Güsken","first_name":"Nicholas Alexander","full_name":"Güsken, Nicholas Alexander"},{"full_name":"Nielsen, Michael P.","first_name":"Michael P.","last_name":"Nielsen"},{"first_name":"Ngoc B.","full_name":"Nguyen, Ngoc B.","last_name":"Nguyen"},{"last_name":"Maier","full_name":"Maier, Stefan A.","first_name":"Stefan A."},{"first_name":"Rupert. F.","full_name":"Oulton, Rupert. F.","last_name":"Oulton"}],"intvolume":"        26","doi":"10.1364/oe.26.030634","_id":"59498","volume":26,"article_number":"30634","issue":"23","date_updated":"2025-12-15T11:22:00Z","date_created":"2025-04-10T13:24:39Z","publication":"Optics Express","publisher":"Optica Publishing Group","language":[{"iso":"eng"}],"publication_identifier":{"issn":["1094-4087"]},"year":"2018","type":"journal_article","status":"public"},{"department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"35"},{"_id":"230"}],"user_id":"16199","publication_status":"published","citation":{"mla":"Belobo, D. Belobo, and T. Meier. “Exotic Complexes in One-Dimensional Bose-Einstein Condensates with Spin-Orbit Coupling.” <i>Scientific Reports</i>, vol. 8, 2018, p. 3706, doi:<a href=\"https://doi.org/10.1038/s41598-018-22008-2\">10.1038/s41598-018-22008-2</a>.","bibtex":"@article{Belobo_Meier_2018, title={Exotic complexes in one-dimensional Bose-Einstein condensates with spin-orbit coupling}, volume={8}, DOI={<a href=\"https://doi.org/10.1038/s41598-018-22008-2\">10.1038/s41598-018-22008-2</a>}, journal={Scientific Reports}, author={Belobo, D. Belobo and Meier, T.}, year={2018}, pages={3706} }","short":"D.B. Belobo, T. Meier, Scientific Reports 8 (2018) 3706.","apa":"Belobo, D. B., &#38; Meier, T. (2018). Exotic complexes in one-dimensional Bose-Einstein condensates with spin-orbit coupling. <i>Scientific Reports</i>, <i>8</i>, 3706. <a href=\"https://doi.org/10.1038/s41598-018-22008-2\">https://doi.org/10.1038/s41598-018-22008-2</a>","ama":"Belobo DB, Meier T. Exotic complexes in one-dimensional Bose-Einstein condensates with spin-orbit coupling. <i>Scientific Reports</i>. 2018;8:3706. doi:<a href=\"https://doi.org/10.1038/s41598-018-22008-2\">10.1038/s41598-018-22008-2</a>","chicago":"Belobo, D. Belobo, and T. Meier. “Exotic Complexes in One-Dimensional Bose-Einstein Condensates with Spin-Orbit Coupling.” <i>Scientific Reports</i> 8 (2018): 3706. <a href=\"https://doi.org/10.1038/s41598-018-22008-2\">https://doi.org/10.1038/s41598-018-22008-2</a>.","ieee":"D. B. Belobo and T. Meier, “Exotic complexes in one-dimensional Bose-Einstein condensates with spin-orbit coupling,” <i>Scientific Reports</i>, vol. 8, p. 3706, 2018, doi: <a href=\"https://doi.org/10.1038/s41598-018-22008-2\">10.1038/s41598-018-22008-2</a>."},"doi":"10.1038/s41598-018-22008-2","intvolume":"         8","author":[{"first_name":"D. Belobo","full_name":"Belobo, D. Belobo","last_name":"Belobo"},{"first_name":"T.","full_name":"Meier, T.","last_name":"Meier"}],"title":"Exotic complexes in one-dimensional Bose-Einstein condensates with spin-orbit coupling","date_updated":"2025-12-16T07:55:24Z","volume":8,"page":"3706","_id":"13902","status":"public","publication_identifier":{"issn":["2045-2322"]},"year":"2018","type":"journal_article","language":[{"iso":"eng"}],"funded_apc":"1","publication":"Scientific Reports","date_created":"2019-10-18T07:57:16Z"},{"external_id":{"isi":["000422773000001"]},"oa":"1","user_id":"16199","abstract":[{"lang":"eng","text":"The transverse dynamic spin susceptibility is a correlation function that yields exact information about spin excitations in systems with a collinear magnetic ground state, including collective spin-wave modes. In an ab initio context, it may be calculated within many-body perturbation theory or time-dependent density-functional theory, but the quantitative accuracy is currently limited by the available functionals for exchange and correlation in dynamically evolving systems. To circumvent this limitation, the spin susceptibility is here alternatively formulated as the solution of an initial-value problem. In this way, the challenge of accurately describing exchange and correlation in many-electron systems is shifted to the stationary initial state, which is much better understood. The proposed scheme further requires the choice of an auxiliary basis set, which determines the speed of convergence but always allows systematic convergence in practical implementations."}],"doi":"10.1155/2018/3732892","has_accepted_license":"1","title":"Exact formulation of the transverse dynamic spin susceptibility as an initial-value problem","file":[{"access_level":"open_access","title":"Exact formulation of the transverse dynamic spin susceptibility as an initial-value problem","description":"Creative Commons Attribution 4.0 International Public License (CC BY 4.0)","creator":"schindlm","file_size":294410,"relation":"main_file","date_updated":"2020-08-30T14:31:38Z","content_type":"application/pdf","file_id":"18537","date_created":"2020-08-28T09:18:25Z","file_name":"3732892.pdf"}],"article_number":"3732892","volume":2018,"type":"journal_article","quality_controlled":"1","publication":"Advances in Mathematical Physics","ddc":["530"],"department":[{"_id":"296"},{"_id":"35"},{"_id":"15"},{"_id":"170"},{"_id":"230"}],"citation":{"bibtex":"@article{Schindlmayr_2018, title={Exact formulation of the transverse dynamic spin susceptibility as an initial-value problem}, volume={2018}, DOI={<a href=\"https://doi.org/10.1155/2018/3732892\">10.1155/2018/3732892</a>}, number={3732892}, journal={Advances in Mathematical Physics}, publisher={Hindawi}, author={Schindlmayr, Arno}, year={2018} }","mla":"Schindlmayr, Arno. “Exact Formulation of the Transverse Dynamic Spin Susceptibility as an Initial-Value Problem.” <i>Advances in Mathematical Physics</i>, vol. 2018, 3732892, Hindawi, 2018, doi:<a href=\"https://doi.org/10.1155/2018/3732892\">10.1155/2018/3732892</a>.","short":"A. Schindlmayr, Advances in Mathematical Physics 2018 (2018).","ama":"Schindlmayr A. Exact formulation of the transverse dynamic spin susceptibility as an initial-value problem. <i>Advances in Mathematical Physics</i>. 2018;2018. doi:<a href=\"https://doi.org/10.1155/2018/3732892\">10.1155/2018/3732892</a>","apa":"Schindlmayr, A. (2018). Exact formulation of the transverse dynamic spin susceptibility as an initial-value problem. <i>Advances in Mathematical Physics</i>, <i>2018</i>, Article 3732892. <a href=\"https://doi.org/10.1155/2018/3732892\">https://doi.org/10.1155/2018/3732892</a>","ieee":"A. 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Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions                                                                   $${n\\geq 3}$$                                                                            n                      ≥                      3. <i>Communications in Mathematical Physics</i>, <i>367</i>(2), 665–681. <a href=\"https://doi.org/10.1007/s00220-018-3238-1\">https://doi.org/10.1007/s00220-018-3238-1</a>","short":"P. Souplet, M. 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(2018). How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases. <i>Mathematische Annalen</i>, <i>373</i>(3–4), 1237–1282. <a href=\"https://doi.org/10.1007/s00208-018-1722-8\">https://doi.org/10.1007/s00208-018-1722-8</a>","mla":"Winkler, Michael. “How Unstable Is Spatial Homogeneity in Keller-Segel Systems? A New Critical Mass Phenomenon in Two- and Higher-Dimensional Parabolic-Elliptic Cases.” <i>Mathematische Annalen</i>, vol. 373, no. 3–4, Springer Science and Business Media LLC, 2018, pp. 1237–82, doi:<a href=\"https://doi.org/10.1007/s00208-018-1722-8\">10.1007/s00208-018-1722-8</a>.","ieee":"M. Winkler, “How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases,” <i>Mathematische Annalen</i>, vol. 373, no. 3–4, pp. 1237–1282, 2018, doi: <a href=\"https://doi.org/10.1007/s00208-018-1722-8\">10.1007/s00208-018-1722-8</a>.","chicago":"Winkler, Michael. “How Unstable Is Spatial Homogeneity in Keller-Segel Systems? A New Critical Mass Phenomenon in Two- and Higher-Dimensional Parabolic-Elliptic Cases.” <i>Mathematische Annalen</i> 373, no. 3–4 (2018): 1237–82. <a href=\"https://doi.org/10.1007/s00208-018-1722-8\">https://doi.org/10.1007/s00208-018-1722-8</a>.","short":"M. Winkler, Mathematische Annalen 373 (2018) 1237–1282."},"publisher":"Springer Science and Business Media LLC","date_created":"2025-12-19T10:57:59Z","publication":"Mathematische Annalen","status":"public","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0025-5831","1432-1807"]},"year":"2018","type":"journal_article","volume":373,"page":"1237-1282","_id":"63361","issue":"3-4","date_updated":"2025-12-19T10:58:06Z"},{"issue":"12","date_updated":"2025-12-19T11:00:31Z","page":"8034-8066","_id":"63365","volume":266,"language":[{"iso":"eng"}],"year":"2018","publication_identifier":{"issn":["0022-0396"]},"type":"journal_article","status":"public","date_created":"2025-12-19T11:00:24Z","publication":"Journal of Differential Equations","publisher":"Elsevier BV","citation":{"bibtex":"@article{Winkler_2018, title={Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities}, volume={266}, DOI={<a href=\"https://doi.org/10.1016/j.jde.2018.12.019\">10.1016/j.jde.2018.12.019</a>}, number={12}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2018}, pages={8034–8066} }","mla":"Winkler, Michael. “Global Classical Solvability and Generic Infinite-Time Blow-up in Quasilinear Keller–Segel Systems with Bounded Sensitivities.” <i>Journal of Differential Equations</i>, vol. 266, no. 12, Elsevier BV, 2018, pp. 8034–66, doi:<a href=\"https://doi.org/10.1016/j.jde.2018.12.019\">10.1016/j.jde.2018.12.019</a>.","short":"M. Winkler, Journal of Differential Equations 266 (2018) 8034–8066.","ama":"Winkler M. Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities. <i>Journal of Differential Equations</i>. 2018;266(12):8034-8066. doi:<a href=\"https://doi.org/10.1016/j.jde.2018.12.019\">10.1016/j.jde.2018.12.019</a>","apa":"Winkler, M. (2018). Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities. <i>Journal of Differential Equations</i>, <i>266</i>(12), 8034–8066. <a href=\"https://doi.org/10.1016/j.jde.2018.12.019\">https://doi.org/10.1016/j.jde.2018.12.019</a>","ieee":"M. Winkler, “Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities,” <i>Journal of Differential Equations</i>, vol. 266, no. 12, pp. 8034–8066, 2018, doi: <a href=\"https://doi.org/10.1016/j.jde.2018.12.019\">10.1016/j.jde.2018.12.019</a>.","chicago":"Winkler, Michael. “Global Classical Solvability and Generic Infinite-Time Blow-up in Quasilinear Keller–Segel Systems with Bounded Sensitivities.” <i>Journal of Differential Equations</i> 266, no. 12 (2018): 8034–66. <a href=\"https://doi.org/10.1016/j.jde.2018.12.019\">https://doi.org/10.1016/j.jde.2018.12.019</a>."},"publication_status":"published","user_id":"31496","intvolume":"       266","doi":"10.1016/j.jde.2018.12.019","title":"Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities","author":[{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler","id":"31496"}]}]
