---
_id: '20583'
article_type: original
author:
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Yaroslav V.
  full_name: Kartashov, Yaroslav V.
  last_name: Kartashov
- first_name: Tingge
  full_name: Gao, Tingge
  last_name: Gao
- first_name: Lluis
  full_name: Torner, Lluis
  last_name: Torner
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
citation:
  ama: Ma X, Kartashov YV, Gao T, Torner L, Schumacher S. Spiraling vortices in exciton-polariton
    condensates. <i>Physical Review B</i>. 2020;102(4):045309. doi:<a href="https://doi.org/10.1103/PhysRevB.102.045309">10.1103/PhysRevB.102.045309</a>
  apa: Ma, X., Kartashov, Y. V., Gao, T., Torner, L., &#38; Schumacher, S. (2020).
    Spiraling vortices in exciton-polariton condensates. <i>Physical Review B</i>,
    <i>102</i>(4), 045309. <a href="https://doi.org/10.1103/PhysRevB.102.045309">https://doi.org/10.1103/PhysRevB.102.045309</a>
  bibtex: '@article{Ma_Kartashov_Gao_Torner_Schumacher_2020, title={Spiraling vortices
    in exciton-polariton condensates}, volume={102}, DOI={<a href="https://doi.org/10.1103/PhysRevB.102.045309">10.1103/PhysRevB.102.045309</a>},
    number={4}, journal={Physical Review B}, publisher={American Physical Society},
    author={Ma, Xuekai and Kartashov, Yaroslav V. and Gao, Tingge and Torner, Lluis
    and Schumacher, Stefan}, year={2020}, pages={045309} }'
  chicago: 'Ma, Xuekai, Yaroslav V. Kartashov, Tingge Gao, Lluis Torner, and Stefan
    Schumacher. “Spiraling Vortices in Exciton-Polariton Condensates.” <i>Physical
    Review B</i> 102, no. 4 (2020): 045309. <a href="https://doi.org/10.1103/PhysRevB.102.045309">https://doi.org/10.1103/PhysRevB.102.045309</a>.'
  ieee: 'X. Ma, Y. V. Kartashov, T. Gao, L. Torner, and S. Schumacher, “Spiraling
    vortices in exciton-polariton condensates,” <i>Physical Review B</i>, vol. 102,
    no. 4, p. 045309, 2020, doi: <a href="https://doi.org/10.1103/PhysRevB.102.045309">10.1103/PhysRevB.102.045309</a>.'
  mla: Ma, Xuekai, et al. “Spiraling Vortices in Exciton-Polariton Condensates.” <i>Physical
    Review B</i>, vol. 102, no. 4, American Physical Society, 2020, p. 045309, doi:<a
    href="https://doi.org/10.1103/PhysRevB.102.045309">10.1103/PhysRevB.102.045309</a>.
  short: X. Ma, Y.V. Kartashov, T. Gao, L. Torner, S. Schumacher, Physical Review
    B 102 (2020) 045309.
date_created: 2020-12-02T09:15:30Z
date_updated: 2025-12-05T13:49:47Z
department:
- _id: '170'
- _id: '230'
- _id: '429'
- _id: '15'
- _id: '297'
- _id: '705'
- _id: '35'
doi: 10.1103/PhysRevB.102.045309
intvolume: '       102'
issue: '4'
language:
- iso: eng
page: '045309'
project:
- _id: '53'
  name: TRR 142
- _id: '54'
  name: TRR 142 - Project Area A
- _id: '61'
  name: TRR 142 - Subproject A4
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
- _id: '53'
  name: 'TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten
    zu funktionellen Strukturen'
publication: Physical Review B
publication_status: published
publisher: American Physical Society
status: public
title: Spiraling vortices in exciton-polariton condensates
type: journal_article
user_id: '16199'
volume: 102
year: '2020'
...
---
_id: '29744'
abstract:
- lang: eng
  text: <p>A hole transfer from an excited Ru unit towards graphene oxide significantly
    improved the photocatalytic activity of the complexes.</p>
author:
- first_name: Marta
  full_name: Rosenthal, Marta
  last_name: Rosenthal
- first_name: Jörg
  full_name: Lindner, Jörg
  id: '20797'
  last_name: Lindner
- first_name: Uwe
  full_name: Gerstmann, Uwe
  id: '171'
  last_name: Gerstmann
  orcid: 0000-0002-4476-223X
- first_name: Armin
  full_name: Meier, Armin
  last_name: Meier
- first_name: Wolf Gero
  full_name: Schmidt, Wolf Gero
  id: '468'
  last_name: Schmidt
  orcid: 0000-0002-2717-5076
- first_name: René
  full_name: Wilhelm, René
  last_name: Wilhelm
citation:
  ama: Rosenthal M, Lindner J, Gerstmann U, Meier A, Schmidt WG, Wilhelm R. A photoredox
    catalysed Heck reaction via hole transfer from a Ru(ii)-bis(terpyridine) complex
    to graphene oxide. <i>RSC Advances</i>. 2020;10(70):42930-42937. doi:<a href="https://doi.org/10.1039/d0ra08749a">10.1039/d0ra08749a</a>
  apa: Rosenthal, M., Lindner, J., Gerstmann, U., Meier, A., Schmidt, W. G., &#38;
    Wilhelm, R. (2020). A photoredox catalysed Heck reaction via hole transfer from
    a Ru(ii)-bis(terpyridine) complex to graphene oxide. <i>RSC Advances</i>, <i>10</i>(70),
    42930–42937. <a href="https://doi.org/10.1039/d0ra08749a">https://doi.org/10.1039/d0ra08749a</a>
  bibtex: '@article{Rosenthal_Lindner_Gerstmann_Meier_Schmidt_Wilhelm_2020, title={A
    photoredox catalysed Heck reaction via hole transfer from a Ru(ii)-bis(terpyridine)
    complex to graphene oxide}, volume={10}, DOI={<a href="https://doi.org/10.1039/d0ra08749a">10.1039/d0ra08749a</a>},
    number={70}, journal={RSC Advances}, publisher={Royal Society of Chemistry (RSC)},
    author={Rosenthal, Marta and Lindner, Jörg and Gerstmann, Uwe and Meier, Armin
    and Schmidt, Wolf Gero and Wilhelm, René}, year={2020}, pages={42930–42937} }'
  chicago: 'Rosenthal, Marta, Jörg Lindner, Uwe Gerstmann, Armin Meier, Wolf Gero
    Schmidt, and René Wilhelm. “A Photoredox Catalysed Heck Reaction via Hole Transfer
    from a Ru(Ii)-Bis(Terpyridine) Complex to Graphene Oxide.” <i>RSC Advances</i>
    10, no. 70 (2020): 42930–37. <a href="https://doi.org/10.1039/d0ra08749a">https://doi.org/10.1039/d0ra08749a</a>.'
  ieee: 'M. Rosenthal, J. Lindner, U. Gerstmann, A. Meier, W. G. Schmidt, and R. Wilhelm,
    “A photoredox catalysed Heck reaction via hole transfer from a Ru(ii)-bis(terpyridine)
    complex to graphene oxide,” <i>RSC Advances</i>, vol. 10, no. 70, pp. 42930–42937,
    2020, doi: <a href="https://doi.org/10.1039/d0ra08749a">10.1039/d0ra08749a</a>.'
  mla: Rosenthal, Marta, et al. “A Photoredox Catalysed Heck Reaction via Hole Transfer
    from a Ru(Ii)-Bis(Terpyridine) Complex to Graphene Oxide.” <i>RSC Advances</i>,
    vol. 10, no. 70, Royal Society of Chemistry (RSC), 2020, pp. 42930–37, doi:<a
    href="https://doi.org/10.1039/d0ra08749a">10.1039/d0ra08749a</a>.
  short: M. Rosenthal, J. Lindner, U. Gerstmann, A. Meier, W.G. Schmidt, R. Wilhelm,
    RSC Advances 10 (2020) 42930–42937.
date_created: 2022-02-03T15:10:50Z
date_updated: 2025-12-05T14:01:30Z
department:
- _id: '15'
- _id: '170'
- _id: '295'
- _id: '286'
- _id: '230'
- _id: '35'
- _id: '790'
- _id: '27'
doi: 10.1039/d0ra08749a
intvolume: '        10'
issue: '70'
keyword:
- General Chemical Engineering
- General Chemistry
language:
- iso: eng
page: 42930-42937
project:
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: RSC Advances
publication_identifier:
  issn:
  - 2046-2069
publication_status: published
publisher: Royal Society of Chemistry (RSC)
status: public
title: A photoredox catalysed Heck reaction via hole transfer from a Ru(ii)-bis(terpyridine)
  complex to graphene oxide
type: journal_article
user_id: '16199'
volume: 10
year: '2020'
...
---
_id: '17068'
author:
- first_name: Christian
  full_name: Braun, Christian
  last_name: Braun
- first_name: Sergej
  full_name: Neufeld, Sergej
  id: '23261'
  last_name: Neufeld
- first_name: Uwe
  full_name: Gerstmann, Uwe
  id: '171'
  last_name: Gerstmann
  orcid: 0000-0002-4476-223X
- first_name: S.
  full_name: Sanna, S.
  last_name: Sanna
- first_name: J.
  full_name: Plaickner, J.
  last_name: Plaickner
- first_name: E.
  full_name: Speiser, E.
  last_name: Speiser
- first_name: N.
  full_name: Esser, N.
  last_name: Esser
- first_name: Wolf Gero
  full_name: Schmidt, Wolf Gero
  id: '468'
  last_name: Schmidt
  orcid: 0000-0002-2717-5076
citation:
  ama: Braun C, Neufeld S, Gerstmann U, et al. Vibration-Driven Self-Doping of Dangling-Bond
    Wires on Si(553)-Au Surfaces. <i>Physical Review Letters</i>. 2020;124(14). doi:<a
    href="https://doi.org/10.1103/physrevlett.124.146802">10.1103/physrevlett.124.146802</a>
  apa: Braun, C., Neufeld, S., Gerstmann, U., Sanna, S., Plaickner, J., Speiser, E.,
    Esser, N., &#38; Schmidt, W. G. (2020). Vibration-Driven Self-Doping of Dangling-Bond
    Wires on Si(553)-Au Surfaces. <i>Physical Review Letters</i>, <i>124</i>(14).
    <a href="https://doi.org/10.1103/physrevlett.124.146802">https://doi.org/10.1103/physrevlett.124.146802</a>
  bibtex: '@article{Braun_Neufeld_Gerstmann_Sanna_Plaickner_Speiser_Esser_Schmidt_2020,
    title={Vibration-Driven Self-Doping of Dangling-Bond Wires on Si(553)-Au Surfaces},
    volume={124}, DOI={<a href="https://doi.org/10.1103/physrevlett.124.146802">10.1103/physrevlett.124.146802</a>},
    number={14}, journal={Physical Review Letters}, author={Braun, Christian and Neufeld,
    Sergej and Gerstmann, Uwe and Sanna, S. and Plaickner, J. and Speiser, E. and
    Esser, N. and Schmidt, Wolf Gero}, year={2020} }'
  chicago: Braun, Christian, Sergej Neufeld, Uwe Gerstmann, S. Sanna, J. Plaickner,
    E. Speiser, N. Esser, and Wolf Gero Schmidt. “Vibration-Driven Self-Doping of
    Dangling-Bond Wires on Si(553)-Au Surfaces.” <i>Physical Review Letters</i> 124,
    no. 14 (2020). <a href="https://doi.org/10.1103/physrevlett.124.146802">https://doi.org/10.1103/physrevlett.124.146802</a>.
  ieee: 'C. Braun <i>et al.</i>, “Vibration-Driven Self-Doping of Dangling-Bond Wires
    on Si(553)-Au Surfaces,” <i>Physical Review Letters</i>, vol. 124, no. 14, 2020,
    doi: <a href="https://doi.org/10.1103/physrevlett.124.146802">10.1103/physrevlett.124.146802</a>.'
  mla: Braun, Christian, et al. “Vibration-Driven Self-Doping of Dangling-Bond Wires
    on Si(553)-Au Surfaces.” <i>Physical Review Letters</i>, vol. 124, no. 14, 2020,
    doi:<a href="https://doi.org/10.1103/physrevlett.124.146802">10.1103/physrevlett.124.146802</a>.
  short: C. Braun, S. Neufeld, U. Gerstmann, S. Sanna, J. Plaickner, E. Speiser, N.
    Esser, W.G. Schmidt, Physical Review Letters 124 (2020).
date_created: 2020-05-29T09:54:43Z
date_updated: 2025-12-05T13:59:21Z
department:
- _id: '15'
- _id: '170'
- _id: '295'
- _id: '230'
- _id: '429'
- _id: '35'
- _id: '790'
doi: 10.1103/physrevlett.124.146802
intvolume: '       124'
issue: '14'
language:
- iso: eng
project:
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
- _id: '53'
  name: TRR 142
- _id: '55'
  name: TRR 142 - Project Area B
- _id: '69'
  name: TRR 142 - Subproject B4
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
- _id: '53'
  name: 'TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten
    zu funktionellen Strukturen'
publication: Physical Review Letters
publication_identifier:
  issn:
  - 0031-9007
  - 1079-7114
publication_status: published
status: public
title: Vibration-Driven Self-Doping of Dangling-Bond Wires on Si(553)-Au Surfaces
type: journal_article
user_id: '16199'
volume: 124
year: '2020'
...
---
_id: '40302'
author:
- first_name: Bardo
  full_name: Herzig, Bardo
  id: '217'
  last_name: Herzig
- first_name: A.
  full_name: Martin, A.
  last_name: Martin
- first_name: T.-M.
  full_name: Klar, T.-M.
  last_name: Klar
citation:
  ama: 'Herzig B, Martin A, Klar T-M. Mobile Medien. Medienpädagogische und technische
    Grundlagen, Potential für den Deutschunterricht und Beispiele. In: Knopf J, Abraham
    U, eds. <i>Deutsch digital, Band 1 - Theorie (Deutschdidaktik für die Primarstufe)</i>.
    Vol 1. 2nd ed. Schneider; 2020:108-135.'
  apa: Herzig, B., Martin, A., &#38; Klar, T.-M. (2020). Mobile Medien. Medienpädagogische
    und technische Grundlagen, Potential für den Deutschunterricht und Beispiele.
    In J. Knopf &#38; U. Abraham (Eds.), <i>Deutsch digital, Band 1 - Theorie (Deutschdidaktik
    für die Primarstufe)</i> (2nd ed., Vol. 1, pp. 108–135). Schneider.
  bibtex: '@inbook{Herzig_Martin_Klar_2020, place={Baltmannsweiler}, edition={2},
    title={Mobile Medien. Medienpädagogische und technische Grundlagen, Potential
    für den Deutschunterricht und Beispiele}, volume={1}, booktitle={Deutsch digital,
    Band 1 - Theorie (Deutschdidaktik für die Primarstufe)}, publisher={Schneider},
    author={Herzig, Bardo and Martin, A. and Klar, T.-M.}, editor={Knopf, J. and Abraham,
    U.}, year={2020}, pages={108–135} }'
  chicago: 'Herzig, Bardo, A. Martin, and T.-M. Klar. “Mobile Medien. Medienpädagogische
    und technische Grundlagen, Potential für den Deutschunterricht und Beispiele.”
    In <i>Deutsch digital, Band 1 - Theorie (Deutschdidaktik für die Primarstufe)</i>,
    edited by J. Knopf and U. Abraham, 2nd ed., 1:108–35. Baltmannsweiler: Schneider,
    2020.'
  ieee: 'B. Herzig, A. Martin, and T.-M. Klar, “Mobile Medien. Medienpädagogische
    und technische Grundlagen, Potential für den Deutschunterricht und Beispiele,”
    in <i>Deutsch digital, Band 1 - Theorie (Deutschdidaktik für die Primarstufe)</i>,
    2nd ed., vol. 1, J. Knopf and U. Abraham, Eds. Baltmannsweiler: Schneider, 2020,
    pp. 108–135.'
  mla: Herzig, Bardo, et al. “Mobile Medien. Medienpädagogische und technische Grundlagen,
    Potential für den Deutschunterricht und Beispiele.” <i>Deutsch digital, Band 1
    - Theorie (Deutschdidaktik für die Primarstufe)</i>, edited by J. Knopf and U.
    Abraham, 2nd ed., vol. 1, Schneider, 2020, pp. 108–35.
  short: 'B. Herzig, A. Martin, T.-M. Klar, in: J. Knopf, U. Abraham (Eds.), Deutsch
    digital, Band 1 - Theorie (Deutschdidaktik für die Primarstufe), 2nd ed., Schneider,
    Baltmannsweiler, 2020, pp. 108–135.'
date_created: 2023-01-26T10:52:09Z
date_updated: 2025-12-09T09:24:22Z
department:
- _id: '459'
edition: '2'
editor:
- first_name: J.
  full_name: Knopf, J.
  last_name: Knopf
- first_name: U.
  full_name: Abraham, U.
  last_name: Abraham
intvolume: '         1'
language:
- iso: ger
page: 108-135
place: Baltmannsweiler
publication: Deutsch digital, Band 1 - Theorie (Deutschdidaktik für die Primarstufe)
publication_identifier:
  isbn:
  - 978-3834020482
publication_status: published
publisher: Schneider
status: public
title: Mobile Medien. Medienpädagogische und technische Grundlagen, Potential für
  den Deutschunterricht und Beispiele
type: book_chapter
user_id: '66956'
volume: 1
year: '2020'
...
---
_id: '23747'
author:
- first_name: Thomas
  full_name: Witte, Thomas
  last_name: Witte
- first_name: Stefan
  full_name: Hanemann, Stefan
  last_name: Hanemann
- first_name: Herbert
  full_name: Sommerfeld, Herbert
  last_name: Sommerfeld
- first_name: Katrin
  full_name: Temmen, Katrin
  id: '30086'
  last_name: Temmen
- first_name: Sabine
  full_name: Fechner, Sabine
  id: '54823'
  last_name: Fechner
  orcid: 0000-0001-5645-5870
citation:
  ama: Witte T, Hanemann S, Sommerfeld H, Temmen K, Fechner S. Selbstbau eines digitalen
    Low-Cost-Fotometers für den Chemieunterricht. <i>CHEMKON</i>. 2020;27(4):193-198.
    doi:<a href="https://doi.org/10.1002/ckon.201900026">10.1002/ckon.201900026</a>
  apa: Witte, T., Hanemann, S., Sommerfeld, H., Temmen, K., &#38; Fechner, S. (2020).
    Selbstbau eines digitalen Low-Cost-Fotometers für den Chemieunterricht. <i>CHEMKON</i>,
    <i>27</i>(4), 193–198. <a href="https://doi.org/10.1002/ckon.201900026">https://doi.org/10.1002/ckon.201900026</a>
  bibtex: '@article{Witte_Hanemann_Sommerfeld_Temmen_Fechner_2020, title={Selbstbau
    eines digitalen Low-Cost-Fotometers für den Chemieunterricht}, volume={27}, DOI={<a
    href="https://doi.org/10.1002/ckon.201900026">10.1002/ckon.201900026</a>}, number={4},
    journal={CHEMKON}, author={Witte, Thomas and Hanemann, Stefan and Sommerfeld,
    Herbert and Temmen, Katrin and Fechner, Sabine}, year={2020}, pages={193–198}
    }'
  chicago: 'Witte, Thomas, Stefan Hanemann, Herbert Sommerfeld, Katrin Temmen, and
    Sabine Fechner. “Selbstbau eines digitalen Low-Cost-Fotometers für den Chemieunterricht.”
    <i>CHEMKON</i> 27, no. 4 (2020): 193–98. <a href="https://doi.org/10.1002/ckon.201900026">https://doi.org/10.1002/ckon.201900026</a>.'
  ieee: 'T. Witte, S. Hanemann, H. Sommerfeld, K. Temmen, and S. Fechner, “Selbstbau
    eines digitalen Low-Cost-Fotometers für den Chemieunterricht,” <i>CHEMKON</i>,
    vol. 27, no. 4, pp. 193–198, 2020, doi: <a href="https://doi.org/10.1002/ckon.201900026">10.1002/ckon.201900026</a>.'
  mla: Witte, Thomas, et al. “Selbstbau eines digitalen Low-Cost-Fotometers für den
    Chemieunterricht.” <i>CHEMKON</i>, vol. 27, no. 4, 2020, pp. 193–98, doi:<a href="https://doi.org/10.1002/ckon.201900026">10.1002/ckon.201900026</a>.
  short: T. Witte, S. Hanemann, H. Sommerfeld, K. Temmen, S. Fechner, CHEMKON 27 (2020)
    193–198.
date_created: 2021-09-03T12:06:44Z
date_updated: 2025-12-11T13:40:07Z
department:
- _id: '386'
- _id: '300'
- _id: '33'
doi: 10.1002/ckon.201900026
intvolume: '        27'
issue: '4'
keyword:
- digital
- technology
- teacher education
language:
- iso: ger
page: 193-198
publication: CHEMKON
publication_identifier:
  issn:
  - 0944-5846
  - 1521-3730
publication_status: published
quality_controlled: '1'
status: public
title: Selbstbau eines digitalen Low-Cost-Fotometers für den Chemieunterricht
type: journal_article
user_id: '54823'
volume: 27
year: '2020'
...
---
_id: '63046'
author:
- first_name: Nicholas Alexander
  full_name: Güsken, Nicholas Alexander
  id: '112030'
  last_name: Güsken
  orcid: 0000-0002-4816-0666
- first_name: Alberto
  full_name: Lauri, Alberto
  last_name: Lauri
- first_name: Yi
  full_name: Li, Yi
  last_name: Li
- first_name: Andrea
  full_name: Jacassi, Andrea
  last_name: Jacassi
- first_name: Takayuki
  full_name: Matsui, Takayuki
  last_name: Matsui
- first_name: Brock
  full_name: Doiron, Brock
  last_name: Doiron
- first_name: Ryan
  full_name: Bower, Ryan
  last_name: Bower
- first_name: Anna
  full_name: Regoutz, Anna
  last_name: Regoutz
- first_name: Andrei
  full_name: Mihai, Andrei
  last_name: Mihai
- first_name: Peter K.
  full_name: Petrov, Peter K.
  last_name: Petrov
- first_name: Rupert F.
  full_name: Oulton, Rupert F.
  last_name: Oulton
- first_name: Lesley F.
  full_name: Cohen, Lesley F.
  last_name: Cohen
- first_name: Stefan A.
  full_name: Maier, Stefan A.
  last_name: Maier
citation:
  ama: Güsken NA, Lauri A, Li Y, et al. IR hot carrier based photodetection in titanium
    nitride oxide thin film-Si junctions. <i>MRS Advances</i>. 2020;5(35-36):1843-1850.
    doi:<a href="https://doi.org/10.1557/adv.2020.129">10.1557/adv.2020.129</a>
  apa: Güsken, N. A., Lauri, A., Li, Y., Jacassi, A., Matsui, T., Doiron, B., Bower,
    R., Regoutz, A., Mihai, A., Petrov, P. K., Oulton, R. F., Cohen, L. F., &#38;
    Maier, S. A. (2020). IR hot carrier based photodetection in titanium nitride oxide
    thin film-Si junctions. <i>MRS Advances</i>, <i>5</i>(35–36), 1843–1850. <a href="https://doi.org/10.1557/adv.2020.129">https://doi.org/10.1557/adv.2020.129</a>
  bibtex: '@article{Güsken_Lauri_Li_Jacassi_Matsui_Doiron_Bower_Regoutz_Mihai_Petrov_et
    al._2020, title={IR hot carrier based photodetection in titanium nitride oxide
    thin film-Si junctions}, volume={5}, DOI={<a href="https://doi.org/10.1557/adv.2020.129">10.1557/adv.2020.129</a>},
    number={35–36}, journal={MRS Advances}, publisher={Springer Science and Business
    Media LLC}, author={Güsken, Nicholas Alexander and Lauri, Alberto and Li, Yi and
    Jacassi, Andrea and Matsui, Takayuki and Doiron, Brock and Bower, Ryan and Regoutz,
    Anna and Mihai, Andrei and Petrov, Peter K. and et al.}, year={2020}, pages={1843–1850}
    }'
  chicago: 'Güsken, Nicholas Alexander, Alberto Lauri, Yi Li, Andrea Jacassi, Takayuki
    Matsui, Brock Doiron, Ryan Bower, et al. “IR Hot Carrier Based Photodetection
    in Titanium Nitride Oxide Thin Film-Si Junctions.” <i>MRS Advances</i> 5, no.
    35–36 (2020): 1843–50. <a href="https://doi.org/10.1557/adv.2020.129">https://doi.org/10.1557/adv.2020.129</a>.'
  ieee: 'N. A. Güsken <i>et al.</i>, “IR hot carrier based photodetection in titanium
    nitride oxide thin film-Si junctions,” <i>MRS Advances</i>, vol. 5, no. 35–36,
    pp. 1843–1850, 2020, doi: <a href="https://doi.org/10.1557/adv.2020.129">10.1557/adv.2020.129</a>.'
  mla: Güsken, Nicholas Alexander, et al. “IR Hot Carrier Based Photodetection in
    Titanium Nitride Oxide Thin Film-Si Junctions.” <i>MRS Advances</i>, vol. 5, no.
    35–36, Springer Science and Business Media LLC, 2020, pp. 1843–50, doi:<a href="https://doi.org/10.1557/adv.2020.129">10.1557/adv.2020.129</a>.
  short: N.A. Güsken, A. Lauri, Y. Li, A. Jacassi, T. Matsui, B. Doiron, R. Bower,
    A. Regoutz, A. Mihai, P.K. Petrov, R.F. Oulton, L.F. Cohen, S.A. Maier, MRS Advances
    5 (2020) 1843–1850.
date_created: 2025-12-11T20:38:45Z
date_updated: 2025-12-15T11:21:37Z
department:
- _id: '623'
- _id: '15'
- _id: '230'
doi: 10.1557/adv.2020.129
intvolume: '         5'
issue: 35-36
language:
- iso: eng
page: 1843-1850
publication: MRS Advances
publication_identifier:
  issn:
  - 2059-8521
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: IR hot carrier based photodetection in titanium nitride oxide thin film-Si
  junctions
type: journal_article
user_id: '112030'
volume: 5
year: '2020'
...
---
_id: '40364'
article_number: '013371'
author:
- first_name: Polina R.
  full_name: Sharapova, Polina R.
  id: '60286'
  last_name: Sharapova
- first_name: G.
  full_name: Frascella, G.
  last_name: Frascella
- first_name: M.
  full_name: Riabinin, M.
  last_name: Riabinin
- first_name: A. M.
  full_name: Pérez, A. M.
  last_name: Pérez
- first_name: O. V.
  full_name: Tikhonova, O. V.
  last_name: Tikhonova
- first_name: S.
  full_name: Lemieux, S.
  last_name: Lemieux
- first_name: R. W.
  full_name: Boyd, R. W.
  last_name: Boyd
- first_name: G.
  full_name: Leuchs, G.
  last_name: Leuchs
- first_name: M. V.
  full_name: Chekhova, M. V.
  last_name: Chekhova
citation:
  ama: Sharapova PR, Frascella G, Riabinin M, et al. Properties of bright squeezed
    vacuum at increasing brightness. <i>Physical Review Research</i>. 2020;2(1). doi:<a
    href="https://doi.org/10.1103/physrevresearch.2.013371">10.1103/physrevresearch.2.013371</a>
  apa: Sharapova, P. R., Frascella, G., Riabinin, M., Pérez, A. M., Tikhonova, O.
    V., Lemieux, S., Boyd, R. W., Leuchs, G., &#38; Chekhova, M. V. (2020). Properties
    of bright squeezed vacuum at increasing brightness. <i>Physical Review Research</i>,
    <i>2</i>(1), Article 013371. <a href="https://doi.org/10.1103/physrevresearch.2.013371">https://doi.org/10.1103/physrevresearch.2.013371</a>
  bibtex: '@article{Sharapova_Frascella_Riabinin_Pérez_Tikhonova_Lemieux_Boyd_Leuchs_Chekhova_2020,
    title={Properties of bright squeezed vacuum at increasing brightness}, volume={2},
    DOI={<a href="https://doi.org/10.1103/physrevresearch.2.013371">10.1103/physrevresearch.2.013371</a>},
    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} }'
  chicago: Sharapova, Polina R., G. Frascella, M. Riabinin, A. M. Pérez, O. V. Tikhonova,
    S. Lemieux, R. W. Boyd, G. Leuchs, and M. V. Chekhova. “Properties of Bright Squeezed
    Vacuum at Increasing Brightness.” <i>Physical Review Research</i> 2, no. 1 (2020).
    <a href="https://doi.org/10.1103/physrevresearch.2.013371">https://doi.org/10.1103/physrevresearch.2.013371</a>.
  ieee: 'P. R. Sharapova <i>et al.</i>, “Properties of bright squeezed vacuum at increasing
    brightness,” <i>Physical Review Research</i>, vol. 2, no. 1, Art. no. 013371,
    2020, doi: <a href="https://doi.org/10.1103/physrevresearch.2.013371">10.1103/physrevresearch.2.013371</a>.'
  mla: Sharapova, Polina R., et al. “Properties of Bright Squeezed Vacuum at Increasing
    Brightness.” <i>Physical Review Research</i>, vol. 2, no. 1, 013371, American
    Physical Society (APS), 2020, doi:<a href="https://doi.org/10.1103/physrevresearch.2.013371">10.1103/physrevresearch.2.013371</a>.
  short: P.R. Sharapova, G. Frascella, M. Riabinin, A.M. Pérez, O.V. Tikhonova, S.
    Lemieux, R.W. Boyd, G. Leuchs, M.V. Chekhova, Physical Review Research 2 (2020).
date_created: 2023-01-26T13:45:35Z
date_updated: 2025-12-16T11:26:50Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '429'
- _id: '230'
- _id: '35'
doi: 10.1103/physrevresearch.2.013371
intvolume: '         2'
issue: '1'
keyword:
- General Engineering
language:
- iso: eng
project:
- _id: '53'
  name: 'TRR 142: TRR 142'
- _id: '56'
  name: 'TRR 142 - C: TRR 142 - Project Area C'
- _id: '72'
  name: 'TRR 142 - C2: TRR 142 - Subproject C2'
publication: Physical Review Research
publication_identifier:
  issn:
  - 2643-1564
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Properties of bright squeezed vacuum at increasing brightness
type: journal_article
user_id: '16199'
volume: 2
year: '2020'
...
---
_id: '40381'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>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.</jats:p>"
article_number: '045020'
author:
- first_name: A
  full_name: Ferreri, A
  last_name: Ferreri
- first_name: V
  full_name: Ansari, V
  last_name: Ansari
- first_name: Benjamin
  full_name: Brecht, Benjamin
  id: '27150'
  last_name: Brecht
  orcid: '0000-0003-4140-0556 '
- first_name: Christine
  full_name: Silberhorn, Christine
  id: '26263'
  last_name: Silberhorn
- first_name: Polina R.
  full_name: Sharapova, Polina R.
  id: '60286'
  last_name: Sharapova
citation:
  ama: Ferreri A, Ansari V, Brecht B, Silberhorn C, Sharapova PR. Spatial entanglement
    and state engineering via four-photon Hong–Ou–Mandel interference. <i>Quantum
    Science and Technology</i>. 2020;5(4). doi:<a href="https://doi.org/10.1088/2058-9565/abb411">10.1088/2058-9565/abb411</a>
  apa: Ferreri, A., Ansari, V., Brecht, B., Silberhorn, C., &#38; Sharapova, P. R.
    (2020). Spatial entanglement and state engineering via four-photon Hong–Ou–Mandel
    interference. <i>Quantum Science and Technology</i>, <i>5</i>(4), Article 045020.
    <a href="https://doi.org/10.1088/2058-9565/abb411">https://doi.org/10.1088/2058-9565/abb411</a>
  bibtex: '@article{Ferreri_Ansari_Brecht_Silberhorn_Sharapova_2020, title={Spatial
    entanglement and state engineering via four-photon Hong–Ou–Mandel interference},
    volume={5}, DOI={<a href="https://doi.org/10.1088/2058-9565/abb411">10.1088/2058-9565/abb411</a>},
    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} }'
  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.” <i>Quantum Science and Technology</i> 5, no. 4 (2020). <a href="https://doi.org/10.1088/2058-9565/abb411">https://doi.org/10.1088/2058-9565/abb411</a>.
  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,”
    <i>Quantum Science and Technology</i>, vol. 5, no. 4, Art. no. 045020, 2020, doi:
    <a href="https://doi.org/10.1088/2058-9565/abb411">10.1088/2058-9565/abb411</a>.'
  mla: Ferreri, A., et al. “Spatial Entanglement and State Engineering via Four-Photon
    Hong–Ou–Mandel Interference.” <i>Quantum Science and Technology</i>, vol. 5, no.
    4, 045020, IOP Publishing, 2020, doi:<a href="https://doi.org/10.1088/2058-9565/abb411">10.1088/2058-9565/abb411</a>.
  short: A. Ferreri, V. Ansari, B. Brecht, C. Silberhorn, P.R. Sharapova, Quantum
    Science and Technology 5 (2020).
date_created: 2023-01-26T14:06:23Z
date_updated: 2025-12-16T11:27:56Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '288'
- _id: '230'
- _id: '429'
- _id: '35'
doi: 10.1088/2058-9565/abb411
intvolume: '         5'
issue: '4'
keyword:
- Electrical and Electronic Engineering
- Physics and Astronomy (miscellaneous)
- Materials Science (miscellaneous)
- Atomic and Molecular Physics
- and Optics
language:
- iso: eng
project:
- _id: '53'
  name: 'TRR 142: TRR 142'
- _id: '56'
  name: 'TRR 142 - C: TRR 142 - Project Area C'
- _id: '72'
  name: 'TRR 142 - C2: TRR 142 - Subproject C2'
publication: Quantum Science and Technology
publication_identifier:
  issn:
  - 2058-9565
publication_status: published
publisher: IOP Publishing
status: public
title: Spatial entanglement and state engineering via four-photon Hong–Ou–Mandel interference
type: journal_article
user_id: '16199'
volume: 5
year: '2020'
...
---
_id: '63179'
citation:
  ama: Ludwig M, ed. <i>Research on Outdoor STEM Education in the Digital Age. Proceedings
    of the ROSETA Online Conference in June 2020</i>. WTM-Verlag; 2020. doi:<a href="https://doi.org/10.37626/ga9783959871440.0">10.37626/ga9783959871440.0</a>
  apa: Ludwig, M. (Ed.). (2020). <i>Research on Outdoor STEM Education in the digital
    Age. Proceedings of the ROSETA Online Conference in June 2020</i>. WTM-Verlag.
    <a href="https://doi.org/10.37626/ga9783959871440.0">https://doi.org/10.37626/ga9783959871440.0</a>
  bibtex: '@book{Ludwig_2020, title={Research on Outdoor STEM Education in the digital
    Age. Proceedings of the ROSETA Online Conference in June 2020}, DOI={<a href="https://doi.org/10.37626/ga9783959871440.0">10.37626/ga9783959871440.0</a>},
    publisher={WTM-Verlag}, year={2020} }'
  chicago: Ludwig, Matthias, ed. <i>Research on Outdoor STEM Education in the Digital
    Age. Proceedings of the ROSETA Online Conference in June 2020</i>. WTM-Verlag,
    2020. <a href="https://doi.org/10.37626/ga9783959871440.0">https://doi.org/10.37626/ga9783959871440.0</a>.
  ieee: M. Ludwig, Ed., <i>Research on Outdoor STEM Education in the digital Age.
    Proceedings of the ROSETA Online Conference in June 2020</i>. WTM-Verlag, 2020.
  mla: Ludwig, Matthias, editor. <i>Research on Outdoor STEM Education in the Digital
    Age. Proceedings of the ROSETA Online Conference in June 2020</i>. WTM-Verlag,
    2020, doi:<a href="https://doi.org/10.37626/ga9783959871440.0">10.37626/ga9783959871440.0</a>.
  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.
date_created: 2025-12-17T08:55:20Z
date_updated: 2025-12-17T08:56:05Z
doi: 10.37626/ga9783959871440.0
editor:
- first_name: Matthias
  full_name: Ludwig, Matthias
  last_name: Ludwig
publication_identifier:
  isbn:
  - '9783959871440'
publication_status: published
publisher: WTM-Verlag
status: public
title: Research on Outdoor STEM Education in the digital Age. Proceedings of the ROSETA
  Online Conference in June 2020
type: book_editor
user_id: '111489'
year: '2020'
...
---
_id: '63195'
author:
- first_name: Claudia
  full_name: Decker, Claudia
  id: '31046'
  last_name: Decker
- first_name: Maria
  full_name: Mochalova, Maria
  last_name: Mochalova
citation:
  ama: 'Decker C, Mochalova M. Vielfalt gegen die Einfalt: Praktische Umsetzung eines
    Projektkonzepts. In: ; 2020.'
  apa: 'Decker, C., &#38; Mochalova, M. (2020). <i>Vielfalt gegen die Einfalt: Praktische
    Umsetzung eines Projektkonzepts</i>. Bundekongress der Zentren für Lehrerbildung
    und Professional Schools of Education, Köln.'
  bibtex: '@inproceedings{Decker_Mochalova_2020, title={Vielfalt gegen die Einfalt:
    Praktische Umsetzung eines Projektkonzepts}, author={Decker, Claudia and Mochalova,
    Maria}, year={2020} }'
  chicago: 'Decker, Claudia, and Maria Mochalova. “Vielfalt Gegen Die Einfalt: Praktische
    Umsetzung Eines Projektkonzepts,” 2020.'
  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.'
  mla: 'Decker, Claudia, and Maria Mochalova. <i>Vielfalt Gegen Die Einfalt: Praktische
    Umsetzung Eines Projektkonzepts</i>. 2020.'
  short: 'C. Decker, M. Mochalova, in: 2020.'
conference:
  end_date: 28.2.2020
  location: Köln
  name: Bundekongress der Zentren für Lehrerbildung und Professional Schools of Education
  start_date: 26.2.2020
date_created: 2025-12-18T10:45:12Z
date_updated: 2025-12-18T10:45:20Z
department:
- _id: '33'
language:
- iso: eng
status: public
title: 'Vielfalt gegen die Einfalt: Praktische Umsetzung eines Projektkonzepts'
type: conference
user_id: '31046'
year: '2020'
...
---
_id: '37933'
abstract:
- lang: eng
  text: <jats:p>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.</jats:p>
article_number: '5528'
author:
- first_name: Johannes
  full_name: Tiedau, Johannes
  last_name: Tiedau
- first_name: Timon
  full_name: Schapeler, Timon
  id: '55629'
  last_name: Schapeler
  orcid: 0000-0001-7652-1716
- first_name: Vikas
  full_name: Anant, Vikas
  last_name: Anant
- first_name: Helmut
  full_name: Fedder, Helmut
  last_name: Fedder
- first_name: Christine
  full_name: Silberhorn, Christine
  id: '26263'
  last_name: Silberhorn
- first_name: Tim
  full_name: Bartley, Tim
  id: '49683'
  last_name: Bartley
citation:
  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.
    <i>Optics Express</i>. 2020;28(4). doi:<a href="https://doi.org/10.1364/oe.383111">10.1364/oe.383111</a>
  apa: Tiedau, J., Schapeler, T., Anant, V., Fedder, H., Silberhorn, C., &#38; Bartley,
    T. (2020). Single-channel electronic readout of a multipixel superconducting nanowire
    single photon detector. <i>Optics Express</i>, <i>28</i>(4), Article 5528. <a
    href="https://doi.org/10.1364/oe.383111">https://doi.org/10.1364/oe.383111</a>
  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={<a href="https://doi.org/10.1364/oe.383111">10.1364/oe.383111</a>},
    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} }'
  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.” <i>Optics Express</i> 28, no.
    4 (2020). <a href="https://doi.org/10.1364/oe.383111">https://doi.org/10.1364/oe.383111</a>.
  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,” <i>Optics Express</i>, vol. 28, no. 4, Art. no. 5528, 2020,
    doi: <a href="https://doi.org/10.1364/oe.383111">10.1364/oe.383111</a>.'
  mla: Tiedau, Johannes, et al. “Single-Channel Electronic Readout of a Multipixel
    Superconducting Nanowire Single Photon Detector.” <i>Optics Express</i>, vol.
    28, no. 4, 5528, Optica Publishing Group, 2020, doi:<a href="https://doi.org/10.1364/oe.383111">10.1364/oe.383111</a>.
  short: J. Tiedau, T. Schapeler, V. Anant, H. Fedder, C. Silberhorn, T. Bartley,
    Optics Express 28 (2020).
date_created: 2023-01-22T17:13:35Z
date_updated: 2025-12-18T17:10:24Z
department:
- _id: '288'
- _id: '15'
- _id: '623'
- _id: '230'
doi: 10.1364/oe.383111
intvolume: '        28'
issue: '4'
keyword:
- Atomic and Molecular Physics
- and Optics
language:
- iso: eng
project:
- _id: '237'
  name: 'PhoG: Sub-Poissonian Photon Gun by Coherent Diffusive Photonics - EU Flagship
    Project'
- _id: '209'
  name: 'ISOQC: Quantenkommunikation mit integrierter Optik im Zusammenhang mit supraleitender
    Elektronik'
publication: Optics Express
publication_identifier:
  issn:
  - 1094-4087
publication_status: published
publisher: Optica Publishing Group
status: public
title: Single-channel electronic readout of a multipixel superconducting nanowire
  single photon detector
type: journal_article
user_id: '55629'
volume: 28
year: '2020'
...
---
_id: '20156'
article_number: '33035'
author:
- first_name: Timon
  full_name: Schapeler, Timon
  id: '55629'
  last_name: Schapeler
  orcid: 0000-0001-7652-1716
- first_name: Jan Philipp
  full_name: Höpker, Jan Philipp
  id: '33913'
  last_name: Höpker
- first_name: Tim
  full_name: Bartley, Tim
  id: '49683'
  last_name: Bartley
citation:
  ama: Schapeler T, Höpker JP, Bartley T. Quantum detector tomography of a 2×2 multi-pixel
    array of superconducting nanowire single photon detectors. <i>Optics Express</i>.
    Published online 2020. doi:<a href="https://doi.org/10.1364/oe.404285">10.1364/oe.404285</a>
  apa: Schapeler, T., Höpker, J. P., &#38; Bartley, T. (2020). Quantum detector tomography
    of a 2×2 multi-pixel array of superconducting nanowire single photon detectors.
    <i>Optics Express</i>, Article 33035. <a href="https://doi.org/10.1364/oe.404285">https://doi.org/10.1364/oe.404285</a>
  bibtex: '@article{Schapeler_Höpker_Bartley_2020, title={Quantum detector tomography
    of a 2×2 multi-pixel array of superconducting nanowire single photon detectors},
    DOI={<a href="https://doi.org/10.1364/oe.404285">10.1364/oe.404285</a>}, number={33035},
    journal={Optics Express}, author={Schapeler, Timon and Höpker, Jan Philipp and
    Bartley, Tim}, year={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.” <i>Optics Express</i>, 2020. <a href="https://doi.org/10.1364/oe.404285">https://doi.org/10.1364/oe.404285</a>.
  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,”
    <i>Optics Express</i>, Art. no. 33035, 2020, doi: <a href="https://doi.org/10.1364/oe.404285">10.1364/oe.404285</a>.'
  mla: Schapeler, Timon, et al. “Quantum Detector Tomography of a 2×2 Multi-Pixel
    Array of Superconducting Nanowire Single Photon Detectors.” <i>Optics Express</i>,
    33035, 2020, doi:<a href="https://doi.org/10.1364/oe.404285">10.1364/oe.404285</a>.
  short: T. Schapeler, J.P. Höpker, T. Bartley, Optics Express (2020).
date_created: 2020-10-21T11:02:41Z
date_updated: 2025-12-18T17:08:01Z
department:
- _id: '15'
- _id: '230'
doi: 10.1364/oe.404285
language:
- iso: eng
project:
- _id: '209'
  name: 'ISOQC: Quantenkommunikation mit integrierter Optik im Zusammenhang mit supraleitender
    Elektronik'
publication: Optics Express
publication_identifier:
  issn:
  - 1094-4087
publication_status: published
status: public
title: Quantum detector tomography of a 2×2 multi-pixel array of superconducting nanowire
  single photon detectors
type: journal_article
user_id: '55629'
year: '2020'
...
---
_id: '63239'
abstract:
- lang: eng
  text: <jats:p>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.</jats:p>
article_number: '5915'
author:
- first_name: Christian
  full_name: Leppin, Christian
  id: '117722'
  last_name: Leppin
- first_name: Sven
  full_name: Hampel, Sven
  last_name: Hampel
- first_name: Frederick Sebastian
  full_name: Meyer, Frederick Sebastian
  last_name: Meyer
- first_name: Arne
  full_name: Langhoff, Arne
  last_name: Langhoff
- first_name: Ursula Elisabeth Adriane
  full_name: Fittschen, Ursula Elisabeth Adriane
  last_name: Fittschen
- first_name: Diethelm
  full_name: Johannsmann, Diethelm
  last_name: Johannsmann
citation:
  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. <i>Sensors</i>.
    2020;20(20). doi:<a href="https://doi.org/10.3390/s20205915">10.3390/s20205915</a>'
  apa: 'Leppin, C., Hampel, S., Meyer, F. S., Langhoff, A., Fittschen, U. E. A., &#38;
    Johannsmann, D. (2020). A Quartz Crystal Microbalance, Which Tracks Four Overtones
    in Parallel with a Time Resolution of 10 Milliseconds: Application to Inkjet Printing.
    <i>Sensors</i>, <i>20</i>(20), Article 5915. <a href="https://doi.org/10.3390/s20205915">https://doi.org/10.3390/s20205915</a>'
  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={<a
    href="https://doi.org/10.3390/s20205915">10.3390/s20205915</a>}, 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} }'
  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.” <i>Sensors</i> 20, no. 20 (2020).
    <a href="https://doi.org/10.3390/s20205915">https://doi.org/10.3390/s20205915</a>.'
  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,” <i>Sensors</i>,
    vol. 20, no. 20, Art. no. 5915, 2020, doi: <a href="https://doi.org/10.3390/s20205915">10.3390/s20205915</a>.'
  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.” <i>Sensors</i>, vol. 20, no. 20, 5915, MDPI AG, 2020, doi:<a
    href="https://doi.org/10.3390/s20205915">10.3390/s20205915</a>.'
  short: C. Leppin, S. Hampel, F.S. Meyer, A. Langhoff, U.E.A. Fittschen, D. Johannsmann,
    Sensors 20 (2020).
date_created: 2025-12-18T17:29:29Z
date_updated: 2025-12-18T17:33:50Z
doi: 10.3390/s20205915
extern: '1'
intvolume: '        20'
issue: '20'
language:
- iso: eng
publication: Sensors
publication_identifier:
  issn:
  - 1424-8220
publication_status: published
publisher: MDPI AG
quality_controlled: '1'
status: public
title: 'A Quartz Crystal Microbalance, Which Tracks Four Overtones in Parallel with
  a Time Resolution of 10 Milliseconds: Application to Inkjet Printing'
type: journal_article
user_id: '117722'
volume: 20
year: '2020'
...
---
_id: '63240'
abstract:
- lang: eng
  text: <jats:p>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.</jats:p>
article_number: '021004'
author:
- first_name: Alexander
  full_name: Gödde, Alexander
  last_name: Gödde
- first_name: Christian
  full_name: Leppin, Christian
  id: '117722'
  last_name: Leppin
- first_name: Frederick S.
  full_name: Meyer, Frederick S.
  last_name: Meyer
- first_name: Arne
  full_name: Langhoff, Arne
  last_name: Langhoff
- first_name: Josef
  full_name: Hartl, Josef
  last_name: Hartl
- first_name: Patrick
  full_name: Garidel, Patrick
  last_name: Garidel
- first_name: Diethelm
  full_name: Johannsmann, Diethelm
  last_name: Johannsmann
citation:
  ama: Gödde A, Leppin C, Meyer FS, et al. Fast <i>p</i>H-mediated changes of the
    viscosity of protein solutions studied with a voltage-modulated quartz crystal
    microbalance. <i>Biointerphases</i>. 2020;15(2). doi:<a href="https://doi.org/10.1116/1.5140619">10.1116/1.5140619</a>
  apa: Gödde, A., Leppin, C., Meyer, F. S., Langhoff, A., Hartl, J., Garidel, P.,
    &#38; Johannsmann, D. (2020). Fast <i>p</i>H-mediated changes of the viscosity
    of protein solutions studied with a voltage-modulated quartz crystal microbalance.
    <i>Biointerphases</i>, <i>15</i>(2), Article 021004. <a href="https://doi.org/10.1116/1.5140619">https://doi.org/10.1116/1.5140619</a>
  bibtex: '@article{Gödde_Leppin_Meyer_Langhoff_Hartl_Garidel_Johannsmann_2020, title={Fast
    <i>p</i>H-mediated changes of the viscosity of protein solutions studied with
    a voltage-modulated quartz crystal microbalance}, volume={15}, DOI={<a href="https://doi.org/10.1116/1.5140619">10.1116/1.5140619</a>},
    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}
    }'
  chicago: Gödde, Alexander, Christian Leppin, Frederick S. Meyer, Arne Langhoff,
    Josef Hartl, Patrick Garidel, and Diethelm Johannsmann. “Fast <i>p</i>H-Mediated
    Changes of the Viscosity of Protein Solutions Studied with a Voltage-Modulated
    Quartz Crystal Microbalance.” <i>Biointerphases</i> 15, no. 2 (2020). <a href="https://doi.org/10.1116/1.5140619">https://doi.org/10.1116/1.5140619</a>.
  ieee: 'A. Gödde <i>et al.</i>, “Fast <i>p</i>H-mediated changes of the viscosity
    of protein solutions studied with a voltage-modulated quartz crystal microbalance,”
    <i>Biointerphases</i>, vol. 15, no. 2, Art. no. 021004, 2020, doi: <a href="https://doi.org/10.1116/1.5140619">10.1116/1.5140619</a>.'
  mla: Gödde, Alexander, et al. “Fast <i>p</i>H-Mediated Changes of the Viscosity
    of Protein Solutions Studied with a Voltage-Modulated Quartz Crystal Microbalance.”
    <i>Biointerphases</i>, vol. 15, no. 2, 021004, American Vacuum Society, 2020,
    doi:<a href="https://doi.org/10.1116/1.5140619">10.1116/1.5140619</a>.
  short: A. Gödde, C. Leppin, F.S. Meyer, A. Langhoff, J. Hartl, P. Garidel, D. Johannsmann,
    Biointerphases 15 (2020).
date_created: 2025-12-18T17:31:15Z
date_updated: 2025-12-18T17:35:30Z
doi: 10.1116/1.5140619
extern: '1'
intvolume: '        15'
issue: '2'
language:
- iso: eng
publication: Biointerphases
publication_identifier:
  issn:
  - 1934-8630
  - 1559-4106
publication_status: published
publisher: American Vacuum Society
quality_controlled: '1'
status: public
title: Fast <i>p</i>H-mediated changes of the viscosity of protein solutions studied
  with a voltage-modulated quartz crystal microbalance
type: journal_article
user_id: '117722'
volume: 15
year: '2020'
...
---
_id: '63340'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>The chemotaxis-growth
    system</jats:p>\r\n               <jats:p>\r\n                  <jats:disp-formula
    id=\"j_ans-2020-2107_eq_0001\">\r\n                     <jats:label>($\\star$)</jats:label>\r\n
    \                    <jats:alternatives>\r\n                        <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                          <m:mrow>\r\n                              <m:mo>{</m:mo>\r\n
    \                             <m:mtable columnspacing=\"0pt\" displaystyle=\"true\"
    rowspacing=\"0pt\">\r\n                                 <m:mtr>\r\n                                    <m:mtd
    columnalign=\"right\">\r\n                                       <m:msub>\r\n
    \                                         <m:mi>u</m:mi>\r\n                                          <m:mi>t</m:mi>\r\n
    \                                      </m:msub>\r\n                                    </m:mtd>\r\n
    \                                   <m:mtd columnalign=\"left\">\r\n                                       <m:mrow>\r\n
    \                                         <m:mrow>\r\n                                             <m:mi
    />\r\n                                             <m:mo>=</m:mo>\r\n                                             <m:mrow>\r\n
    \                                               <m:mrow>\r\n                                                   <m:mrow>\r\n
    \                                                     <m:mrow>\r\n                                                         <m:mi>D</m:mi>\r\n
    \                                                        <m:mo>⁢</m:mo>\r\n                                                         <m:mi
    mathvariant=\"normal\">Δ</m:mi>\r\n                                                         <m:mo>⁢</m:mo>\r\n
    \                                                        <m:mi>u</m:mi>\r\n                                                      </m:mrow>\r\n
    \                                                     <m:mo>-</m:mo>\r\n                                                      <m:mrow>\r\n
    \                                                        <m:mrow>\r\n                                                            <m:mi>χ</m:mi>\r\n
    \                                                           <m:mo>⁢</m:mo>\r\n
    \                                                           <m:mo>∇</m:mo>\r\n
    \                                                        </m:mrow>\r\n                                                         <m:mo>⋅</m:mo>\r\n
    \                                                        <m:mrow>\r\n                                                            <m:mo
    stretchy=\"false\">(</m:mo>\r\n                                                            <m:mrow>\r\n
    \                                                              <m:mi>u</m:mi>\r\n
    \                                                              <m:mo>⁢</m:mo>\r\n
    \                                                              <m:mrow>\r\n                                                                  <m:mo>∇</m:mo>\r\n
    \                                                                 <m:mo>⁡</m:mo>\r\n
    \                                                                 <m:mi>v</m:mi>\r\n
    \                                                              </m:mrow>\r\n                                                            </m:mrow>\r\n
    \                                                           <m:mo stretchy=\"false\">)</m:mo>\r\n
    \                                                        </m:mrow>\r\n                                                      </m:mrow>\r\n
    \                                                  </m:mrow>\r\n                                                   <m:mo>+</m:mo>\r\n
    \                                                  <m:mrow>\r\n                                                      <m:mi>ρ</m:mi>\r\n
    \                                                     <m:mo>⁢</m:mo>\r\n                                                      <m:mi>u</m:mi>\r\n
    \                                                  </m:mrow>\r\n                                                </m:mrow>\r\n
    \                                               <m:mo>-</m:mo>\r\n                                                <m:mrow>\r\n
    \                                                  <m:mi>μ</m:mi>\r\n                                                   <m:mo>⁢</m:mo>\r\n
    \                                                  <m:msup>\r\n                                                      <m:mi>u</m:mi>\r\n
    \                                                     <m:mi>α</m:mi>\r\n                                                   </m:msup>\r\n
    \                                               </m:mrow>\r\n                                             </m:mrow>\r\n
    \                                         </m:mrow>\r\n                                          <m:mo>,</m:mo>\r\n
    \                                      </m:mrow>\r\n                                    </m:mtd>\r\n
    \                                </m:mtr>\r\n                                 <m:mtr>\r\n
    \                                   <m:mtd columnalign=\"right\">\r\n                                       <m:msub>\r\n
    \                                         <m:mi>v</m:mi>\r\n                                          <m:mi>t</m:mi>\r\n
    \                                      </m:msub>\r\n                                    </m:mtd>\r\n
    \                                   <m:mtd columnalign=\"left\">\r\n                                       <m:mrow>\r\n
    \                                         <m:mi />\r\n                                          <m:mo>=</m:mo>\r\n
    \                                         <m:mrow>\r\n                                             <m:mrow>\r\n
    \                                               <m:mrow>\r\n                                                   <m:mi>d</m:mi>\r\n
    \                                                  <m:mo>⁢</m:mo>\r\n                                                   <m:mi
    mathvariant=\"normal\">Δ</m:mi>\r\n                                                   <m:mo>⁢</m:mo>\r\n
    \                                                  <m:mi>v</m:mi>\r\n                                                </m:mrow>\r\n
    \                                               <m:mo>-</m:mo>\r\n                                                <m:mrow>\r\n
    \                                                  <m:mi>κ</m:mi>\r\n                                                   <m:mo>⁢</m:mo>\r\n
    \                                                  <m:mi>v</m:mi>\r\n                                                </m:mrow>\r\n
    \                                            </m:mrow>\r\n                                             <m:mo>+</m:mo>\r\n
    \                                            <m:mrow>\r\n                                                <m:mi>λ</m:mi>\r\n
    \                                               <m:mo>⁢</m:mo>\r\n                                                <m:mi>u</m:mi>\r\n
    \                                            </m:mrow>\r\n                                          </m:mrow>\r\n
    \                                      </m:mrow>\r\n                                    </m:mtd>\r\n
    \                                </m:mtr>\r\n                              </m:mtable>\r\n
    \                          </m:mrow>\r\n                        </m:math>\r\n
    \                       <jats:graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"graphic/j_ans-2020-2107_fig_001.png\" />\r\n                        <jats:tex-math>{}\\left\\{\\begin{aligned}
    \\displaystyle{}u_{t}&amp;\\displaystyle=D\\Delta u-\\chi% \\nabla\\cdot(u\\nabla
    v)+\\rho u-\\mu u^{\\alpha},\\\\ \\displaystyle v_{t}&amp;\\displaystyle=d\\Delta
    v-\\kappa v+\\lambda u\\end{aligned}\\right.</jats:tex-math>\r\n                     </jats:alternatives>\r\n
    \                 </jats:disp-formula>\r\n               </jats:p>\r\n               <jats:p>is
    considered under homogeneous Neumann boundary conditions in smoothly bounded domains
    <jats:inline-formula id=\"j_ans-2020-2107_ineq_9999\">\r\n                     <jats:alternatives>\r\n
    \                       <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                          <m:mrow>\r\n                              <m:mi mathvariant=\"normal\">Ω</m:mi>\r\n
    \                             <m:mo>⊂</m:mo>\r\n                              <m:msup>\r\n
    \                                <m:mi>ℝ</m:mi>\r\n                                 <m:mi>n</m:mi>\r\n
    \                             </m:msup>\r\n                           </m:mrow>\r\n
    \                       </m:math>\r\n                        <jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_ans-2020-2107_inl_001.png\"
    />\r\n                        <jats:tex-math>{\\Omega\\subset\\mathbb{R}^{n}}</jats:tex-math>\r\n
    \                    </jats:alternatives>\r\n                  </jats:inline-formula>,
    <jats:inline-formula id=\"j_ans-2020-2107_ineq_9998\">\r\n                     <jats:alternatives>\r\n
    \                       <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                          <m:mrow>\r\n                              <m:mi>n</m:mi>\r\n
    \                             <m:mo>≥</m:mo>\r\n                              <m:mn>1</m:mn>\r\n
    \                          </m:mrow>\r\n                        </m:math>\r\n
    \                       <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"graphic/j_ans-2020-2107_inl_002.png\" />\r\n                        <jats:tex-math>{n\\geq
    1}</jats:tex-math>\r\n                     </jats:alternatives>\r\n                  </jats:inline-formula>.
    For any choice of <jats:inline-formula id=\"j_ans-2020-2107_ineq_9997\">\r\n                     <jats:alternatives>\r\n
    \                       <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                          <m:mrow>\r\n                              <m:mi>α</m:mi>\r\n
    \                             <m:mo>&gt;</m:mo>\r\n                              <m:mn>1</m:mn>\r\n
    \                          </m:mrow>\r\n                        </m:math>\r\n
    \                       <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"graphic/j_ans-2020-2107_inl_003.png\" />\r\n                        <jats:tex-math>{\\alpha&gt;1}</jats:tex-math>\r\n
    \                    </jats:alternatives>\r\n                  </jats:inline-formula>,
    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 <jats:inline-formula id=\"j_ans-2020-2107_ineq_9996\">\r\n
    \                    <jats:alternatives>\r\n                        <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                          <m:mrow>\r\n                              <m:mi>α</m:mi>\r\n
    \                             <m:mo>≥</m:mo>\r\n                              <m:mrow>\r\n
    \                                <m:mn>2</m:mn>\r\n                                 <m:mo>-</m:mo>\r\n
    \                                <m:mfrac>\r\n                                    <m:mn>2</m:mn>\r\n
    \                                   <m:mi>n</m:mi>\r\n                                 </m:mfrac>\r\n
    \                             </m:mrow>\r\n                           </m:mrow>\r\n
    \                       </m:math>\r\n                        <jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_ans-2020-2107_inl_004.png\"
    />\r\n                        <jats:tex-math>{\\alpha\\geq 2-\\frac{2}{n}}</jats:tex-math>\r\n
    \                    </jats:alternatives>\r\n                  </jats:inline-formula>,
    under an appropriate smallness assumption on χ, any such solution at least asymptotically
    exhibits relaxation by approaching the nontrivial spatially homogeneous steady
    state <jats:inline-formula id=\"j_ans-2020-2107_ineq_9995\">\r\n                     <jats:alternatives>\r\n
    \                       <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                          <m:mrow>\r\n                              <m:mo maxsize=\"120%\"
    minsize=\"120%\">(</m:mo>\r\n                              <m:msup>\r\n                                 <m:mrow>\r\n
    \                                   <m:mo maxsize=\"120%\" minsize=\"120%\">(</m:mo>\r\n
    \                                   <m:mfrac>\r\n                                       <m:mi>ρ</m:mi>\r\n
    \                                      <m:mi>μ</m:mi>\r\n                                    </m:mfrac>\r\n
    \                                   <m:mo maxsize=\"120%\" minsize=\"120%\">)</m:mo>\r\n
    \                                </m:mrow>\r\n                                 <m:mfrac>\r\n
    \                                   <m:mn>1</m:mn>\r\n                                    <m:mrow>\r\n
    \                                      <m:mi>α</m:mi>\r\n                                       <m:mo>-</m:mo>\r\n
    \                                      <m:mn>1</m:mn>\r\n                                    </m:mrow>\r\n
    \                                </m:mfrac>\r\n                              </m:msup>\r\n
    \                             <m:mo>,</m:mo>\r\n                              <m:mrow>\r\n
    \                                <m:mfrac>\r\n                                    <m:mi>λ</m:mi>\r\n
    \                                   <m:mi>κ</m:mi>\r\n                                 </m:mfrac>\r\n
    \                                <m:mo>⁢</m:mo>\r\n                                 <m:msup>\r\n
    \                                   <m:mrow>\r\n                                       <m:mo
    maxsize=\"120%\" minsize=\"120%\">(</m:mo>\r\n                                       <m:mfrac>\r\n
    \                                         <m:mi>ρ</m:mi>\r\n                                          <m:mi>μ</m:mi>\r\n
    \                                      </m:mfrac>\r\n                                       <m:mo
    maxsize=\"120%\" minsize=\"120%\">)</m:mo>\r\n                                    </m:mrow>\r\n
    \                                   <m:mfrac>\r\n                                       <m:mn>1</m:mn>\r\n
    \                                      <m:mrow>\r\n                                          <m:mi>α</m:mi>\r\n
    \                                         <m:mo>-</m:mo>\r\n                                          <m:mn>1</m:mn>\r\n
    \                                      </m:mrow>\r\n                                    </m:mfrac>\r\n
    \                                </m:msup>\r\n                              </m:mrow>\r\n
    \                             <m:mo maxsize=\"120%\" minsize=\"120%\">)</m:mo>\r\n
    \                          </m:mrow>\r\n                        </m:math>\r\n
    \                       <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"graphic/j_ans-2020-2107_inl_005.png\" />\r\n                        <jats:tex-math>{\\bigl{(}\\bigl{(}\\frac{\\rho}{\\mu}\\bigr{)}^{\\frac{1}{\\alpha-1}},\\frac{\\lambda}{%
    \\kappa}\\bigl{(}\\frac{\\rho}{\\mu}\\bigr{)}^{\\frac{1}{\\alpha-1}}\\bigr{)}}</jats:tex-math>\r\n
    \                    </jats:alternatives>\r\n                  </jats:inline-formula>
    in the large time limit.</jats:p>"
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Attractiveness of Constant States in Logistic-Type Keller–Segel
    Systems Involving Subquadratic Growth Restrictions. <i>Advanced Nonlinear Studies</i>.
    2020;20(4):795-817. doi:<a href="https://doi.org/10.1515/ans-2020-2107">10.1515/ans-2020-2107</a>
  apa: Winkler, M. (2020). Attractiveness of Constant States in Logistic-Type Keller–Segel
    Systems Involving Subquadratic Growth Restrictions. <i>Advanced Nonlinear Studies</i>,
    <i>20</i>(4), 795–817. <a href="https://doi.org/10.1515/ans-2020-2107">https://doi.org/10.1515/ans-2020-2107</a>
  bibtex: '@article{Winkler_2020, title={Attractiveness of Constant States in Logistic-Type
    Keller–Segel Systems Involving Subquadratic Growth Restrictions}, volume={20},
    DOI={<a href="https://doi.org/10.1515/ans-2020-2107">10.1515/ans-2020-2107</a>},
    number={4}, journal={Advanced Nonlinear Studies}, publisher={Walter de Gruyter
    GmbH}, author={Winkler, Michael}, year={2020}, pages={795–817} }'
  chicago: 'Winkler, Michael. “Attractiveness of Constant States in Logistic-Type
    Keller–Segel Systems Involving Subquadratic Growth Restrictions.” <i>Advanced
    Nonlinear Studies</i> 20, no. 4 (2020): 795–817. <a href="https://doi.org/10.1515/ans-2020-2107">https://doi.org/10.1515/ans-2020-2107</a>.'
  ieee: 'M. Winkler, “Attractiveness of Constant States in Logistic-Type Keller–Segel
    Systems Involving Subquadratic Growth Restrictions,” <i>Advanced Nonlinear Studies</i>,
    vol. 20, no. 4, pp. 795–817, 2020, doi: <a href="https://doi.org/10.1515/ans-2020-2107">10.1515/ans-2020-2107</a>.'
  mla: Winkler, Michael. “Attractiveness of Constant States in Logistic-Type Keller–Segel
    Systems Involving Subquadratic Growth Restrictions.” <i>Advanced Nonlinear Studies</i>,
    vol. 20, no. 4, Walter de Gruyter GmbH, 2020, pp. 795–817, doi:<a href="https://doi.org/10.1515/ans-2020-2107">10.1515/ans-2020-2107</a>.
  short: M. Winkler, Advanced Nonlinear Studies 20 (2020) 795–817.
date_created: 2025-12-18T19:46:54Z
date_updated: 2025-12-18T19:58:22Z
doi: 10.1515/ans-2020-2107
intvolume: '        20'
issue: '4'
language:
- iso: eng
page: 795-817
publication: Advanced Nonlinear Studies
publication_identifier:
  issn:
  - 1536-1365
  - 2169-0375
publication_status: published
publisher: Walter de Gruyter GmbH
status: public
title: Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving
  Subquadratic Growth Restrictions
type: journal_article
user_id: '31496'
volume: 20
year: '2020'
...
---
_id: '63342'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>In a bounded planar domain <jats:inline-formula><jats:alternatives><jats:tex-math>$\\varOmega
    $</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mi>Ω</mml:mi>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    with smooth boundary, the initial-boundary value problem of homogeneous Neumann
    type for the Keller-Segel-fluid system \r\n\t\t\t<jats:disp-formula><jats:alternatives><jats:tex-math>
    $$\\begin{aligned} \\left \\{ \\textstyle\\begin{array}{l@{\\quad }l} n_{t} +
    \\nabla \\cdot (nu) = \\Delta n - \\nabla \\cdot (n\\nabla c), &amp; x\\in \\varOmega
    , \\ t&gt;0, \\\\ 0 = \\Delta c -c+n, &amp; x\\in \\varOmega , \\ t&gt;0, \\end{array}\\displaystyle
    \\right . \\end{aligned}$$ </jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mo>{</mml:mo>\r\n                    <mml:mtable>\r\n
    \                     <mml:mtr>\r\n                        <mml:mtd>\r\n                          <mml:msub>\r\n
    \                           <mml:mi>n</mml:mi>\r\n                            <mml:mi>t</mml:mi>\r\n
    \                         </mml:msub>\r\n                          <mml:mo>+</mml:mo>\r\n
    \                         <mml:mi>∇</mml:mi>\r\n                          <mml:mo>⋅</mml:mo>\r\n
    \                         <mml:mo>(</mml:mo>\r\n                          <mml:mi>n</mml:mi>\r\n
    \                         <mml:mi>u</mml:mi>\r\n                          <mml:mo>)</mml:mo>\r\n
    \                         <mml:mo>=</mml:mo>\r\n                          <mml:mi>Δ</mml:mi>\r\n
    \                         <mml:mi>n</mml:mi>\r\n                          <mml:mo>−</mml:mo>\r\n
    \                         <mml:mi>∇</mml:mi>\r\n                          <mml:mo>⋅</mml:mo>\r\n
    \                         <mml:mo>(</mml:mo>\r\n                          <mml:mi>n</mml:mi>\r\n
    \                         <mml:mi>∇</mml:mi>\r\n                          <mml:mi>c</mml:mi>\r\n
    \                         <mml:mo>)</mml:mo>\r\n                          <mml:mo>,</mml:mo>\r\n
    \                       </mml:mtd>\r\n                        <mml:mtd>\r\n                          <mml:mi>x</mml:mi>\r\n
    \                         <mml:mo>∈</mml:mo>\r\n                          <mml:mi>Ω</mml:mi>\r\n
    \                         <mml:mo>,</mml:mo>\r\n                          <mml:mspace/>\r\n
    \                         <mml:mi>t</mml:mi>\r\n                          <mml:mo>&gt;</mml:mo>\r\n
    \                         <mml:mn>0</mml:mn>\r\n                          <mml:mo>,</mml:mo>\r\n
    \                       </mml:mtd>\r\n                      </mml:mtr>\r\n                      <mml:mtr>\r\n
    \                       <mml:mtd>\r\n                          <mml:mn>0</mml:mn>\r\n
    \                         <mml:mo>=</mml:mo>\r\n                          <mml:mi>Δ</mml:mi>\r\n
    \                         <mml:mi>c</mml:mi>\r\n                          <mml:mo>−</mml:mo>\r\n
    \                         <mml:mi>c</mml:mi>\r\n                          <mml:mo>+</mml:mo>\r\n
    \                         <mml:mi>n</mml:mi>\r\n                          <mml:mo>,</mml:mo>\r\n
    \                       </mml:mtd>\r\n                        <mml:mtd>\r\n                          <mml:mi>x</mml:mi>\r\n
    \                         <mml:mo>∈</mml:mo>\r\n                          <mml:mi>Ω</mml:mi>\r\n
    \                         <mml:mo>,</mml:mo>\r\n                          <mml:mspace/>\r\n
    \                         <mml:mi>t</mml:mi>\r\n                          <mml:mo>&gt;</mml:mo>\r\n
    \                         <mml:mn>0</mml:mn>\r\n                          <mml:mo>,</mml:mo>\r\n
    \                       </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n
    \                 </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:disp-formula>
    is considered, where <jats:inline-formula><jats:alternatives><jats:tex-math>$u$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mi>u</mml:mi>\r\n
    \               </mml:math></jats:alternatives></jats:inline-formula> is a given
    sufficiently smooth velocity field on <jats:inline-formula><jats:alternatives><jats:tex-math>$\\overline
    {\\varOmega }\\times [0,\\infty )$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mover>\r\n                    <mml:mi>Ω</mml:mi>\r\n                    <mml:mo>‾</mml:mo>\r\n
    \                 </mml:mover>\r\n                  <mml:mo>×</mml:mo>\r\n                  <mml:mo>[</mml:mo>\r\n
    \                 <mml:mn>0</mml:mn>\r\n                  <mml:mo>,</mml:mo>\r\n
    \                 <mml:mi>∞</mml:mi>\r\n                  <mml:mo>)</mml:mo>\r\n
    \               </mml:math></jats:alternatives></jats:inline-formula> that is
    tangential on <jats:inline-formula><jats:alternatives><jats:tex-math>$\\partial
    \\varOmega $</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mi>∂</mml:mi>\r\n                  <mml:mi>Ω</mml:mi>\r\n
    \               </mml:math></jats:alternatives></jats:inline-formula> but not
    necessarily solenoidal.</jats:p><jats:p>It is firstly shown that for any choice
    of <jats:inline-formula><jats:alternatives><jats:tex-math>$n_{0}\\in C^{0}(\\overline
    {\\varOmega })$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:msub>\r\n                    <mml:mi>n</mml:mi>\r\n                    <mml:mn>0</mml:mn>\r\n
    \                 </mml:msub>\r\n                  <mml:mo>∈</mml:mo>\r\n                  <mml:msup>\r\n
    \                   <mml:mi>C</mml:mi>\r\n                    <mml:mn>0</mml:mn>\r\n
    \                 </mml:msup>\r\n                  <mml:mo>(</mml:mo>\r\n                  <mml:mover>\r\n
    \                   <mml:mi>Ω</mml:mi>\r\n                    <mml:mo>‾</mml:mo>\r\n
    \                 </mml:mover>\r\n                  <mml:mo>)</mml:mo>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    with <jats:inline-formula><jats:alternatives><jats:tex-math>$\\int _{\\varOmega}n_{0}&lt;4\\pi
    $</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:msub>\r\n                    <mml:mo>∫</mml:mo>\r\n                    <mml:mi>Ω</mml:mi>\r\n
    \                 </mml:msub>\r\n                  <mml:msub>\r\n                    <mml:mi>n</mml:mi>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                  </mml:msub>\r\n                  <mml:mo>&lt;</mml:mo>\r\n
    \                 <mml:mn>4</mml:mn>\r\n                  <mml:mi>π</mml:mi>\r\n
    \               </mml:math></jats:alternatives></jats:inline-formula>, this problem
    admits a global classical solution with <jats:inline-formula><jats:alternatives><jats:tex-math>$n(\\cdot
    ,0)=n_{0}$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mi>n</mml:mi>\r\n                  <mml:mo>(</mml:mo>\r\n
    \                 <mml:mo>⋅</mml:mo>\r\n                  <mml:mo>,</mml:mo>\r\n
    \                 <mml:mn>0</mml:mn>\r\n                  <mml:mo>)</mml:mo>\r\n
    \                 <mml:mo>=</mml:mo>\r\n                  <mml:msub>\r\n                    <mml:mi>n</mml:mi>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                  </mml:msub>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    and that this solution is even bounded whenever <jats:inline-formula><jats:alternatives><jats:tex-math>$u$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mi>u</mml:mi>\r\n
    \               </mml:math></jats:alternatives></jats:inline-formula> is bounded
    and <jats:inline-formula><jats:alternatives><jats:tex-math>$\\int _{\\varOmega}n_{0}&lt;2\\pi
    $</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:msub>\r\n                    <mml:mo>∫</mml:mo>\r\n                    <mml:mi>Ω</mml:mi>\r\n
    \                 </mml:msub>\r\n                  <mml:msub>\r\n                    <mml:mi>n</mml:mi>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                  </mml:msub>\r\n                  <mml:mo>&lt;</mml:mo>\r\n
    \                 <mml:mn>2</mml:mn>\r\n                  <mml:mi>π</mml:mi>\r\n
    \               </mml:math></jats:alternatives></jats:inline-formula>. Secondly,
    it is seen that for each <jats:inline-formula><jats:alternatives><jats:tex-math>$m&gt;4\\pi
    $</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mi>m</mml:mi>\r\n                  <mml:mo>&gt;</mml:mo>\r\n
    \                 <mml:mn>4</mml:mn>\r\n                  <mml:mi>π</mml:mi>\r\n
    \               </mml:math></jats:alternatives></jats:inline-formula> one can
    find a classical solution with <jats:inline-formula><jats:alternatives><jats:tex-math>$\\int
    _{\\varOmega}n(\\cdot ,0)=m$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:msub>\r\n                    <mml:mo>∫</mml:mo>\r\n                    <mml:mi>Ω</mml:mi>\r\n
    \                 </mml:msub>\r\n                  <mml:mi>n</mml:mi>\r\n                  <mml:mo>(</mml:mo>\r\n
    \                 <mml:mo>⋅</mml:mo>\r\n                  <mml:mo>,</mml:mo>\r\n
    \                 <mml:mn>0</mml:mn>\r\n                  <mml:mo>)</mml:mo>\r\n
    \                 <mml:mo>=</mml:mo>\r\n                  <mml:mi>m</mml:mi>\r\n
    \               </mml:math></jats:alternatives></jats:inline-formula> which blows
    up in finite time, provided that <jats:inline-formula><jats:alternatives><jats:tex-math>$\\varOmega
    $</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mi>Ω</mml:mi>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    satisfies a technical assumption requiring <jats:inline-formula><jats:alternatives><jats:tex-math>$\\partial
    \\varOmega $</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mi>∂</mml:mi>\r\n                  <mml:mi>Ω</mml:mi>\r\n
    \               </mml:math></jats:alternatives></jats:inline-formula> to contain
    a line segment.</jats:p><jats:p>In particular, this indicates that the value <jats:inline-formula><jats:alternatives><jats:tex-math>$4\\pi
    $</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mn>4</mml:mn>\r\n                  <mml:mi>π</mml:mi>\r\n
    \               </mml:math></jats:alternatives></jats:inline-formula> 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.</jats:p>"
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Can Fluid Interaction Influence the Critical Mass for Taxis-Driven
    Blow-up in Bounded Planar Domains? <i>Acta Applicandae Mathematicae</i>. 2020;169(1):577-591.
    doi:<a href="https://doi.org/10.1007/s10440-020-00312-2">10.1007/s10440-020-00312-2</a>
  apa: Winkler, M. (2020). Can Fluid Interaction Influence the Critical Mass for Taxis-Driven
    Blow-up in Bounded Planar Domains? <i>Acta Applicandae Mathematicae</i>, <i>169</i>(1),
    577–591. <a href="https://doi.org/10.1007/s10440-020-00312-2">https://doi.org/10.1007/s10440-020-00312-2</a>
  bibtex: '@article{Winkler_2020, title={Can Fluid Interaction Influence the Critical
    Mass for Taxis-Driven Blow-up in Bounded Planar Domains?}, volume={169}, DOI={<a
    href="https://doi.org/10.1007/s10440-020-00312-2">10.1007/s10440-020-00312-2</a>},
    number={1}, journal={Acta Applicandae Mathematicae}, publisher={Springer Science
    and Business Media LLC}, author={Winkler, Michael}, year={2020}, pages={577–591}
    }'
  chicago: 'Winkler, Michael. “Can Fluid Interaction Influence the Critical Mass for
    Taxis-Driven Blow-up in Bounded Planar Domains?” <i>Acta Applicandae Mathematicae</i>
    169, no. 1 (2020): 577–91. <a href="https://doi.org/10.1007/s10440-020-00312-2">https://doi.org/10.1007/s10440-020-00312-2</a>.'
  ieee: 'M. Winkler, “Can Fluid Interaction Influence the Critical Mass for Taxis-Driven
    Blow-up in Bounded Planar Domains?,” <i>Acta Applicandae Mathematicae</i>, vol.
    169, no. 1, pp. 577–591, 2020, doi: <a href="https://doi.org/10.1007/s10440-020-00312-2">10.1007/s10440-020-00312-2</a>.'
  mla: Winkler, Michael. “Can Fluid Interaction Influence the Critical Mass for Taxis-Driven
    Blow-up in Bounded Planar Domains?” <i>Acta Applicandae Mathematicae</i>, vol.
    169, no. 1, Springer Science and Business Media LLC, 2020, pp. 577–91, doi:<a
    href="https://doi.org/10.1007/s10440-020-00312-2">10.1007/s10440-020-00312-2</a>.
  short: M. Winkler, Acta Applicandae Mathematicae 169 (2020) 577–591.
date_created: 2025-12-18T19:47:51Z
date_updated: 2025-12-18T19:57:40Z
doi: 10.1007/s10440-020-00312-2
intvolume: '       169'
issue: '1'
language:
- iso: eng
page: 577-591
publication: Acta Applicandae Mathematicae
publication_identifier:
  issn:
  - 0167-8019
  - 1572-9036
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up
  in Bounded Planar Domains?
type: journal_article
user_id: '31496'
volume: 169
year: '2020'
...
---
_id: '63336'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Blow-up profiles and life beyond blow-up in the fully parabolic
    Keller-Segel system. <i>Journal d’Analyse Mathématique</i>. 2020;141(2):585-624.
    doi:<a href="https://doi.org/10.1007/s11854-020-0109-4">10.1007/s11854-020-0109-4</a>
  apa: Winkler, M. (2020). Blow-up profiles and life beyond blow-up in the fully parabolic
    Keller-Segel system. <i>Journal d’Analyse Mathématique</i>, <i>141</i>(2), 585–624.
    <a href="https://doi.org/10.1007/s11854-020-0109-4">https://doi.org/10.1007/s11854-020-0109-4</a>
  bibtex: '@article{Winkler_2020, title={Blow-up profiles and life beyond blow-up
    in the fully parabolic Keller-Segel system}, volume={141}, DOI={<a href="https://doi.org/10.1007/s11854-020-0109-4">10.1007/s11854-020-0109-4</a>},
    number={2}, journal={Journal d’Analyse Mathématique}, publisher={Springer Science
    and Business Media LLC}, author={Winkler, Michael}, year={2020}, pages={585–624}
    }'
  chicago: 'Winkler, Michael. “Blow-up Profiles and Life beyond Blow-up in the Fully
    Parabolic Keller-Segel System.” <i>Journal d’Analyse Mathématique</i> 141, no.
    2 (2020): 585–624. <a href="https://doi.org/10.1007/s11854-020-0109-4">https://doi.org/10.1007/s11854-020-0109-4</a>.'
  ieee: 'M. Winkler, “Blow-up profiles and life beyond blow-up in the fully parabolic
    Keller-Segel system,” <i>Journal d’Analyse Mathématique</i>, vol. 141, no. 2,
    pp. 585–624, 2020, doi: <a href="https://doi.org/10.1007/s11854-020-0109-4">10.1007/s11854-020-0109-4</a>.'
  mla: Winkler, Michael. “Blow-up Profiles and Life beyond Blow-up in the Fully Parabolic
    Keller-Segel System.” <i>Journal d’Analyse Mathématique</i>, vol. 141, no. 2,
    Springer Science and Business Media LLC, 2020, pp. 585–624, doi:<a href="https://doi.org/10.1007/s11854-020-0109-4">10.1007/s11854-020-0109-4</a>.
  short: M. Winkler, Journal d’Analyse Mathématique 141 (2020) 585–624.
date_created: 2025-12-18T19:44:38Z
date_updated: 2025-12-18T19:56:40Z
doi: 10.1007/s11854-020-0109-4
intvolume: '       141'
issue: '2'
language:
- iso: eng
page: 585-624
publication: Journal d'Analyse Mathématique
publication_identifier:
  issn:
  - 0021-7670
  - 1565-8538
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel
  system
type: journal_article
user_id: '31496'
volume: 141
year: '2020'
...
---
_id: '63329'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>Recent 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</jats:p>"
author:
- first_name: Steinar
  full_name: Evje, Steinar
  last_name: Evje
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Evje S, Winkler M. Mathematical Analysis of Two Competing Cancer Cell Migration
    Mechanisms Driven by Interstitial Fluid Flow. <i>Journal of Nonlinear Science</i>.
    2020;30(4):1809-1847. doi:<a href="https://doi.org/10.1007/s00332-020-09625-w">10.1007/s00332-020-09625-w</a>
  apa: Evje, S., &#38; Winkler, M. (2020). Mathematical Analysis of Two Competing
    Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow. <i>Journal
    of Nonlinear Science</i>, <i>30</i>(4), 1809–1847. <a href="https://doi.org/10.1007/s00332-020-09625-w">https://doi.org/10.1007/s00332-020-09625-w</a>
  bibtex: '@article{Evje_Winkler_2020, title={Mathematical Analysis of Two Competing
    Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow}, volume={30},
    DOI={<a href="https://doi.org/10.1007/s00332-020-09625-w">10.1007/s00332-020-09625-w</a>},
    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} }'
  chicago: 'Evje, Steinar, and Michael Winkler. “Mathematical Analysis of Two Competing
    Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow.” <i>Journal
    of Nonlinear Science</i> 30, no. 4 (2020): 1809–47. <a href="https://doi.org/10.1007/s00332-020-09625-w">https://doi.org/10.1007/s00332-020-09625-w</a>.'
  ieee: 'S. Evje and M. Winkler, “Mathematical Analysis of Two Competing Cancer Cell
    Migration Mechanisms Driven by Interstitial Fluid Flow,” <i>Journal of Nonlinear
    Science</i>, vol. 30, no. 4, pp. 1809–1847, 2020, doi: <a href="https://doi.org/10.1007/s00332-020-09625-w">10.1007/s00332-020-09625-w</a>.'
  mla: Evje, Steinar, and Michael Winkler. “Mathematical Analysis of Two Competing
    Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow.” <i>Journal
    of Nonlinear Science</i>, vol. 30, no. 4, Springer Science and Business Media
    LLC, 2020, pp. 1809–47, doi:<a href="https://doi.org/10.1007/s00332-020-09625-w">10.1007/s00332-020-09625-w</a>.
  short: S. Evje, M. Winkler, Journal of Nonlinear Science 30 (2020) 1809–1847.
date_created: 2025-12-18T19:38:02Z
date_updated: 2025-12-18T20:00:26Z
doi: 10.1007/s00332-020-09625-w
intvolume: '        30'
issue: '4'
language:
- iso: eng
page: 1809-1847
publication: Journal of Nonlinear Science
publication_identifier:
  issn:
  - 0938-8974
  - 1432-1467
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven
  by Interstitial Fluid Flow
type: journal_article
user_id: '31496'
volume: 30
year: '2020'
...
---
_id: '63331'
abstract:
- lang: eng
  text: <jats:p> 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. </jats:p>
author:
- first_name: Nancy
  full_name: Rodríguez, Nancy
  last_name: Rodríguez
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Rodríguez N, Winkler M. Relaxation by nonlinear diffusion enhancement in a
    two-dimensional cross-diffusion model for urban crime propagation. <i>Mathematical
    Models and Methods in Applied Sciences</i>. 2020;30(11):2105-2137. doi:<a href="https://doi.org/10.1142/s0218202520500396">10.1142/s0218202520500396</a>
  apa: Rodríguez, N., &#38; Winkler, M. (2020). Relaxation by nonlinear diffusion
    enhancement in a two-dimensional cross-diffusion model for urban crime propagation.
    <i>Mathematical Models and Methods in Applied Sciences</i>, <i>30</i>(11), 2105–2137.
    <a href="https://doi.org/10.1142/s0218202520500396">https://doi.org/10.1142/s0218202520500396</a>
  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={<a href="https://doi.org/10.1142/s0218202520500396">10.1142/s0218202520500396</a>},
    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} }'
  chicago: 'Rodríguez, Nancy, and Michael Winkler. “Relaxation by Nonlinear Diffusion
    Enhancement in a Two-Dimensional Cross-Diffusion Model for Urban Crime Propagation.”
    <i>Mathematical Models and Methods in Applied Sciences</i> 30, no. 11 (2020):
    2105–37. <a href="https://doi.org/10.1142/s0218202520500396">https://doi.org/10.1142/s0218202520500396</a>.'
  ieee: 'N. Rodríguez and M. Winkler, “Relaxation by nonlinear diffusion enhancement
    in a two-dimensional cross-diffusion model for urban crime propagation,” <i>Mathematical
    Models and Methods in Applied Sciences</i>, vol. 30, no. 11, pp. 2105–2137, 2020,
    doi: <a href="https://doi.org/10.1142/s0218202520500396">10.1142/s0218202520500396</a>.'
  mla: Rodríguez, Nancy, and Michael Winkler. “Relaxation by Nonlinear Diffusion Enhancement
    in a Two-Dimensional Cross-Diffusion Model for Urban Crime Propagation.” <i>Mathematical
    Models and Methods in Applied Sciences</i>, vol. 30, no. 11, World Scientific
    Pub Co Pte Ltd, 2020, pp. 2105–37, doi:<a href="https://doi.org/10.1142/s0218202520500396">10.1142/s0218202520500396</a>.
  short: N. Rodríguez, M. Winkler, Mathematical Models and Methods in Applied Sciences
    30 (2020) 2105–2137.
date_created: 2025-12-18T19:38:42Z
date_updated: 2025-12-18T20:00:53Z
doi: 10.1142/s0218202520500396
intvolume: '        30'
issue: '11'
language:
- iso: eng
page: 2105-2137
publication: Mathematical Models and Methods in Applied Sciences
publication_identifier:
  issn:
  - 0218-2025
  - 1793-6314
publication_status: published
publisher: World Scientific Pub Co Pte Ltd
status: public
title: Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion
  model for urban crime propagation
type: journal_article
user_id: '31496'
volume: 30
year: '2020'
...
---
_id: '63330'
author:
- first_name: Genglin
  full_name: Li, Genglin
  last_name: Li
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Li G, Tao Y, Winkler M. Large time behavior in a predator-prey system with
    indirect pursuit-evasion interaction. <i>Discrete and Continuous Dynamical Systems
    - B</i>. 2020;25(11):4383-4396. doi:<a href="https://doi.org/10.3934/dcdsb.2020102">10.3934/dcdsb.2020102</a>
  apa: Li, G., Tao, Y., &#38; Winkler, M. (2020). Large time behavior in a predator-prey
    system with indirect pursuit-evasion interaction. <i>Discrete and Continuous Dynamical
    Systems - B</i>, <i>25</i>(11), 4383–4396. <a href="https://doi.org/10.3934/dcdsb.2020102">https://doi.org/10.3934/dcdsb.2020102</a>
  bibtex: '@article{Li_Tao_Winkler_2020, title={Large time behavior in a predator-prey
    system with indirect pursuit-evasion interaction}, volume={25}, DOI={<a href="https://doi.org/10.3934/dcdsb.2020102">10.3934/dcdsb.2020102</a>},
    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} }'
  chicago: 'Li, Genglin, Youshan Tao, and Michael Winkler. “Large Time Behavior in
    a Predator-Prey System with Indirect Pursuit-Evasion Interaction.” <i>Discrete
    and Continuous Dynamical Systems - B</i> 25, no. 11 (2020): 4383–96. <a href="https://doi.org/10.3934/dcdsb.2020102">https://doi.org/10.3934/dcdsb.2020102</a>.'
  ieee: 'G. Li, Y. Tao, and M. Winkler, “Large time behavior in a predator-prey system
    with indirect pursuit-evasion interaction,” <i>Discrete and Continuous Dynamical
    Systems - B</i>, vol. 25, no. 11, pp. 4383–4396, 2020, doi: <a href="https://doi.org/10.3934/dcdsb.2020102">10.3934/dcdsb.2020102</a>.'
  mla: Li, Genglin, et al. “Large Time Behavior in a Predator-Prey System with Indirect
    Pursuit-Evasion Interaction.” <i>Discrete and Continuous Dynamical Systems - B</i>,
    vol. 25, no. 11, American Institute of Mathematical Sciences (AIMS), 2020, pp.
    4383–96, doi:<a href="https://doi.org/10.3934/dcdsb.2020102">10.3934/dcdsb.2020102</a>.
  short: G. Li, Y. Tao, M. Winkler, Discrete and Continuous Dynamical Systems - B
    25 (2020) 4383–4396.
date_created: 2025-12-18T19:38:22Z
date_updated: 2025-12-18T20:00:40Z
doi: 10.3934/dcdsb.2020102
intvolume: '        25'
issue: '11'
language:
- iso: eng
page: 4383-4396
publication: Discrete and Continuous Dynamical Systems - B
publication_identifier:
  issn:
  - 1531-3492
  - 1553-524X
publication_status: published
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: Large time behavior in a predator-prey system with indirect pursuit-evasion
  interaction
type: journal_article
user_id: '31496'
volume: 25
year: '2020'
...