---
_id: '63334'
author:
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Tao Y, Winkler M. Global classical solutions to a doubly haptotactic cross-diffusion
    system modeling oncolytic virotherapy. <i>Journal of Differential Equations</i>.
    2019;268(9):4973-4997. doi:<a href="https://doi.org/10.1016/j.jde.2019.10.046">10.1016/j.jde.2019.10.046</a>
  apa: Tao, Y., &#38; Winkler, M. (2019). Global classical solutions to a doubly haptotactic
    cross-diffusion system modeling oncolytic virotherapy. <i>Journal of Differential
    Equations</i>, <i>268</i>(9), 4973–4997. <a href="https://doi.org/10.1016/j.jde.2019.10.046">https://doi.org/10.1016/j.jde.2019.10.046</a>
  bibtex: '@article{Tao_Winkler_2019, title={Global classical solutions to a doubly
    haptotactic cross-diffusion system modeling oncolytic virotherapy}, volume={268},
    DOI={<a href="https://doi.org/10.1016/j.jde.2019.10.046">10.1016/j.jde.2019.10.046</a>},
    number={9}, journal={Journal of Differential Equations}, publisher={Elsevier BV},
    author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={4973–4997} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “Global Classical Solutions to a Doubly
    Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy.” <i>Journal
    of Differential Equations</i> 268, no. 9 (2019): 4973–97. <a href="https://doi.org/10.1016/j.jde.2019.10.046">https://doi.org/10.1016/j.jde.2019.10.046</a>.'
  ieee: 'Y. Tao and M. Winkler, “Global classical solutions to a doubly haptotactic
    cross-diffusion system modeling oncolytic virotherapy,” <i>Journal of Differential
    Equations</i>, vol. 268, no. 9, pp. 4973–4997, 2019, doi: <a href="https://doi.org/10.1016/j.jde.2019.10.046">10.1016/j.jde.2019.10.046</a>.'
  mla: Tao, Youshan, and Michael Winkler. “Global Classical Solutions to a Doubly
    Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy.” <i>Journal
    of Differential Equations</i>, vol. 268, no. 9, Elsevier BV, 2019, pp. 4973–97,
    doi:<a href="https://doi.org/10.1016/j.jde.2019.10.046">10.1016/j.jde.2019.10.046</a>.
  short: Y. Tao, M. Winkler, Journal of Differential Equations 268 (2019) 4973–4997.
date_created: 2025-12-18T19:40:07Z
date_updated: 2025-12-18T20:01:29Z
doi: 10.1016/j.jde.2019.10.046
intvolume: '       268'
issue: '9'
language:
- iso: eng
page: 4973-4997
publication: Journal of Differential Equations
publication_identifier:
  issn:
  - 0022-0396
publication_status: published
publisher: Elsevier BV
status: public
title: Global classical solutions to a doubly haptotactic cross-diffusion system modeling
  oncolytic virotherapy
type: journal_article
user_id: '31496'
volume: 268
year: '2019'
...
---
_id: '63349'
author:
- first_name: Nicola
  full_name: Bellomo, Nicola
  last_name: Bellomo
- first_name: Kevin J.
  full_name: Painter, Kevin J.
  last_name: Painter
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Bellomo N, Painter KJ, Tao Y, Winkler M. Occurrence vs. Absence of Taxis-Driven
    Instabilities in a May--Nowak Model for Virus Infection. <i>SIAM Journal on Applied
    Mathematics</i>. 2019;79(5):1990-2010. doi:<a href="https://doi.org/10.1137/19m1250261">10.1137/19m1250261</a>
  apa: Bellomo, N., Painter, K. J., Tao, Y., &#38; Winkler, M. (2019). Occurrence
    vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection.
    <i>SIAM Journal on Applied Mathematics</i>, <i>79</i>(5), 1990–2010. <a href="https://doi.org/10.1137/19m1250261">https://doi.org/10.1137/19m1250261</a>
  bibtex: '@article{Bellomo_Painter_Tao_Winkler_2019, title={Occurrence vs. Absence
    of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection}, volume={79},
    DOI={<a href="https://doi.org/10.1137/19m1250261">10.1137/19m1250261</a>}, number={5},
    journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial
    &#38; Applied Mathematics (SIAM)}, author={Bellomo, Nicola and Painter, Kevin
    J. and Tao, Youshan and Winkler, Michael}, year={2019}, pages={1990–2010} }'
  chicago: 'Bellomo, Nicola, Kevin J. Painter, Youshan Tao, and Michael Winkler. “Occurrence
    vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection.”
    <i>SIAM Journal on Applied Mathematics</i> 79, no. 5 (2019): 1990–2010. <a href="https://doi.org/10.1137/19m1250261">https://doi.org/10.1137/19m1250261</a>.'
  ieee: 'N. Bellomo, K. J. Painter, Y. Tao, and M. Winkler, “Occurrence vs. Absence
    of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection,” <i>SIAM
    Journal on Applied Mathematics</i>, vol. 79, no. 5, pp. 1990–2010, 2019, doi:
    <a href="https://doi.org/10.1137/19m1250261">10.1137/19m1250261</a>.'
  mla: Bellomo, Nicola, et al. “Occurrence vs. Absence of Taxis-Driven Instabilities
    in a May--Nowak Model for Virus Infection.” <i>SIAM Journal on Applied Mathematics</i>,
    vol. 79, no. 5, Society for Industrial &#38; Applied Mathematics (SIAM), 2019,
    pp. 1990–2010, doi:<a href="https://doi.org/10.1137/19m1250261">10.1137/19m1250261</a>.
  short: N. Bellomo, K.J. Painter, Y. Tao, M. Winkler, SIAM Journal on Applied Mathematics
    79 (2019) 1990–2010.
date_created: 2025-12-19T10:47:32Z
date_updated: 2025-12-19T10:47:44Z
doi: 10.1137/19m1250261
intvolume: '        79'
issue: '5'
language:
- iso: eng
page: 1990-2010
publication: SIAM Journal on Applied Mathematics
publication_identifier:
  issn:
  - 0036-1399
  - 1095-712X
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
status: public
title: Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model
  for Virus Infection
type: journal_article
user_id: '31496'
volume: 79
year: '2019'
...
---
_id: '63350'
article_number: '106823'
author:
- first_name: Marek
  full_name: Fila, Marek
  last_name: Fila
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Fila M, Winkler M. A Gagliardo-Nirenberg-type inequality and its applications
    to decay estimates for solutions of a degenerate parabolic equation. <i>Advances
    in Mathematics</i>. 2019;357. doi:<a href="https://doi.org/10.1016/j.aim.2019.106823">10.1016/j.aim.2019.106823</a>
  apa: Fila, M., &#38; Winkler, M. (2019). A Gagliardo-Nirenberg-type inequality and
    its applications to decay estimates for solutions of a degenerate parabolic equation.
    <i>Advances in Mathematics</i>, <i>357</i>, Article 106823. <a href="https://doi.org/10.1016/j.aim.2019.106823">https://doi.org/10.1016/j.aim.2019.106823</a>
  bibtex: '@article{Fila_Winkler_2019, title={A Gagliardo-Nirenberg-type inequality
    and its applications to decay estimates for solutions of a degenerate parabolic
    equation}, volume={357}, DOI={<a href="https://doi.org/10.1016/j.aim.2019.106823">10.1016/j.aim.2019.106823</a>},
    number={106823}, journal={Advances in Mathematics}, publisher={Elsevier BV}, author={Fila,
    Marek and Winkler, Michael}, year={2019} }'
  chicago: Fila, Marek, and Michael Winkler. “A Gagliardo-Nirenberg-Type Inequality
    and Its Applications to Decay Estimates for Solutions of a Degenerate Parabolic
    Equation.” <i>Advances in Mathematics</i> 357 (2019). <a href="https://doi.org/10.1016/j.aim.2019.106823">https://doi.org/10.1016/j.aim.2019.106823</a>.
  ieee: 'M. Fila and M. Winkler, “A Gagliardo-Nirenberg-type inequality and its applications
    to decay estimates for solutions of a degenerate parabolic equation,” <i>Advances
    in Mathematics</i>, vol. 357, Art. no. 106823, 2019, doi: <a href="https://doi.org/10.1016/j.aim.2019.106823">10.1016/j.aim.2019.106823</a>.'
  mla: Fila, Marek, and Michael Winkler. “A Gagliardo-Nirenberg-Type Inequality and
    Its Applications to Decay Estimates for Solutions of a Degenerate Parabolic Equation.”
    <i>Advances in Mathematics</i>, vol. 357, 106823, Elsevier BV, 2019, doi:<a href="https://doi.org/10.1016/j.aim.2019.106823">10.1016/j.aim.2019.106823</a>.
  short: M. Fila, M. Winkler, Advances in Mathematics 357 (2019).
date_created: 2025-12-19T10:49:35Z
date_updated: 2025-12-19T10:49:47Z
doi: 10.1016/j.aim.2019.106823
intvolume: '       357'
language:
- iso: eng
publication: Advances in Mathematics
publication_identifier:
  issn:
  - 0001-8708
publication_status: published
publisher: Elsevier BV
status: public
title: A Gagliardo-Nirenberg-type inequality and its applications to decay estimates
  for solutions of a degenerate parabolic equation
type: journal_article
user_id: '31496'
volume: 357
year: '2019'
...
---
_id: '63355'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>This work studies the two‐species
    Shigesada–Kawasaki–Teramoto model with cross‐diffusion for one species, as given by\r\n<jats:disp-formula>\r\n</jats:disp-formula>with
    positive parameters  and , and nonnegative constants  and . Beyond some statements
    on global existence, the literature apparently provides only few results on qualitative
    behavior of solutions; in particular, questions related to boundedness as well
    as to large time asymptotics in <jats:ext-link xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"#plms12276-disp-0001\" /> seem unsolved so far.</jats:p><jats:p>In
    the present paper it is <jats:italic>inter alia</jats:italic> shown that if  and
    \ is a bounded convex domain with smooth boundary, then whenever  and  are nonnegative,
    the associated Neumann initial‐boundary value problem for <jats:ext-link xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"#plms12276-disp-0001\" /> possesses a global classical solution which
    in fact is bounded in the sense that\r\n<jats:disp-formula>\r\n</jats:disp-formula>Moreover,
    the asymptotic behavior of arbitrary nonnegative solutions enjoying the boundedness
    property is studied in the general situation when  is arbitrary and  no longer
    necessarily convex. If , then in both cases  and , an explicit smallness condition
    on  is identified as sufficient for stabilization of any nontrivial solutions
    toward a corresponding unique nontrivial spatially homogeneous steady state. If
    \ and , then without any further assumption all nonzero solutions are seen to
    approach the equilibrium (0,1). As a by‐product, this particularly improves previous
    knowledge on nonexistence of nonconstant equilibria of <jats:ext-link xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"#plms12276-disp-0001\" />.</jats:p>"
author:
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Tao Y, Winkler M. Boundedness and stabilization in a population model with
    cross‐diffusion for one species. <i>Proceedings of the London Mathematical Society</i>.
    2019;119(6):1598-1632. doi:<a href="https://doi.org/10.1112/plms.12276">10.1112/plms.12276</a>
  apa: Tao, Y., &#38; Winkler, M. (2019). Boundedness and stabilization in a population
    model with cross‐diffusion for one species. <i>Proceedings of the London Mathematical
    Society</i>, <i>119</i>(6), 1598–1632. <a href="https://doi.org/10.1112/plms.12276">https://doi.org/10.1112/plms.12276</a>
  bibtex: '@article{Tao_Winkler_2019, title={Boundedness and stabilization in a population
    model with cross‐diffusion for one species}, volume={119}, DOI={<a href="https://doi.org/10.1112/plms.12276">10.1112/plms.12276</a>},
    number={6}, journal={Proceedings of the London Mathematical Society}, publisher={Wiley},
    author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={1598–1632} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “Boundedness and Stabilization in a
    Population Model with Cross‐diffusion for One Species.” <i>Proceedings of the
    London Mathematical Society</i> 119, no. 6 (2019): 1598–1632. <a href="https://doi.org/10.1112/plms.12276">https://doi.org/10.1112/plms.12276</a>.'
  ieee: 'Y. Tao and M. Winkler, “Boundedness and stabilization in a population model
    with cross‐diffusion for one species,” <i>Proceedings of the London Mathematical
    Society</i>, vol. 119, no. 6, pp. 1598–1632, 2019, doi: <a href="https://doi.org/10.1112/plms.12276">10.1112/plms.12276</a>.'
  mla: Tao, Youshan, and Michael Winkler. “Boundedness and Stabilization in a Population
    Model with Cross‐diffusion for One Species.” <i>Proceedings of the London Mathematical
    Society</i>, vol. 119, no. 6, Wiley, 2019, pp. 1598–632, doi:<a href="https://doi.org/10.1112/plms.12276">10.1112/plms.12276</a>.
  short: Y. Tao, M. Winkler, Proceedings of the London Mathematical Society 119 (2019)
    1598–1632.
date_created: 2025-12-19T10:54:01Z
date_updated: 2025-12-19T10:54:09Z
doi: 10.1112/plms.12276
intvolume: '       119'
issue: '6'
language:
- iso: eng
page: 1598-1632
publication: Proceedings of the London Mathematical Society
publication_identifier:
  issn:
  - 0024-6115
  - 1460-244X
publication_status: published
publisher: Wiley
status: public
title: Boundedness and stabilization in a population model with cross‐diffusion for
  one species
type: journal_article
user_id: '31496'
volume: 119
year: '2019'
...
---
_id: '63356'
abstract:
- lang: eng
  text: <jats:p> This work deals with a taxis cascade model for food consumption in
    two populations, namely foragers directly orienting their movement upward the
    gradients of food concentration and exploiters taking a parasitic strategy in
    search of food via tracking higher forager densities. As a consequence, the dynamics
    of both populations are adapted to the space distribution of food which is dynamically
    modified in time and space by the two populations. This model extends the classical
    one-species chemotaxis-consumption systems by additionally accounting for a second
    taxis mechanism coupled to the first in a consecutive manner. It is rigorously
    proved that for all suitably regular initial data, an associated Neumann-type
    initial-boundary value problem for the spatially one-dimensional version of this
    model possesses a globally defined bounded classical solution. Moreover, it is
    asserted that the considered two populations will approach spatially homogeneous
    distributions in the large time limit, provided that either the total population
    number of foragers or that of exploiters is appropriately small. </jats:p>
author:
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Tao Y, Winkler M. Large time behavior in a forager–exploiter model with different
    taxis strategies for two groups in search of food. <i>Mathematical Models and
    Methods in Applied Sciences</i>. 2019;29(11):2151-2182. doi:<a href="https://doi.org/10.1142/s021820251950043x">10.1142/s021820251950043x</a>
  apa: Tao, Y., &#38; Winkler, M. (2019). Large time behavior in a forager–exploiter
    model with different taxis strategies for two groups in search of food. <i>Mathematical
    Models and Methods in Applied Sciences</i>, <i>29</i>(11), 2151–2182. <a href="https://doi.org/10.1142/s021820251950043x">https://doi.org/10.1142/s021820251950043x</a>
  bibtex: '@article{Tao_Winkler_2019, title={Large time behavior in a forager–exploiter
    model with different taxis strategies for two groups in search of food}, volume={29},
    DOI={<a href="https://doi.org/10.1142/s021820251950043x">10.1142/s021820251950043x</a>},
    number={11}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World
    Scientific Pub Co Pte Ltd}, author={Tao, Youshan and Winkler, Michael}, year={2019},
    pages={2151–2182} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “Large Time Behavior in a Forager–Exploiter
    Model with Different Taxis Strategies for Two Groups in Search of Food.” <i>Mathematical
    Models and Methods in Applied Sciences</i> 29, no. 11 (2019): 2151–82. <a href="https://doi.org/10.1142/s021820251950043x">https://doi.org/10.1142/s021820251950043x</a>.'
  ieee: 'Y. Tao and M. Winkler, “Large time behavior in a forager–exploiter model
    with different taxis strategies for two groups in search of food,” <i>Mathematical
    Models and Methods in Applied Sciences</i>, vol. 29, no. 11, pp. 2151–2182, 2019,
    doi: <a href="https://doi.org/10.1142/s021820251950043x">10.1142/s021820251950043x</a>.'
  mla: Tao, Youshan, and Michael Winkler. “Large Time Behavior in a Forager–Exploiter
    Model with Different Taxis Strategies for Two Groups in Search of Food.” <i>Mathematical
    Models and Methods in Applied Sciences</i>, vol. 29, no. 11, World Scientific
    Pub Co Pte Ltd, 2019, pp. 2151–82, doi:<a href="https://doi.org/10.1142/s021820251950043x">10.1142/s021820251950043x</a>.
  short: Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 29
    (2019) 2151–2182.
date_created: 2025-12-19T10:54:36Z
date_updated: 2025-12-19T10:54:44Z
doi: 10.1142/s021820251950043x
intvolume: '        29'
issue: '11'
language:
- iso: eng
page: 2151-2182
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: Large time behavior in a forager–exploiter model with different taxis strategies
  for two groups in search of food
type: journal_article
user_id: '31496'
volume: 29
year: '2019'
...
---
_id: '63352'
author:
- first_name: Johannes
  full_name: Lankeit, Johannes
  last_name: Lankeit
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Lankeit J, Winkler M. Counterintuitive dependence of temporal asymptotics on
    initial decay in a nonlocal degenerate parabolic equation arising in game theory.
    <i>Israel Journal of Mathematics</i>. 2019;233(1):249-296. doi:<a href="https://doi.org/10.1007/s11856-019-1900-8">10.1007/s11856-019-1900-8</a>
  apa: Lankeit, J., &#38; Winkler, M. (2019). Counterintuitive dependence of temporal
    asymptotics on initial decay in a nonlocal degenerate parabolic equation arising
    in game theory. <i>Israel Journal of Mathematics</i>, <i>233</i>(1), 249–296.
    <a href="https://doi.org/10.1007/s11856-019-1900-8">https://doi.org/10.1007/s11856-019-1900-8</a>
  bibtex: '@article{Lankeit_Winkler_2019, title={Counterintuitive dependence of temporal
    asymptotics on initial decay in a nonlocal degenerate parabolic equation arising
    in game theory}, volume={233}, DOI={<a href="https://doi.org/10.1007/s11856-019-1900-8">10.1007/s11856-019-1900-8</a>},
    number={1}, journal={Israel Journal of Mathematics}, publisher={Springer Science
    and Business Media LLC}, author={Lankeit, Johannes and Winkler, Michael}, year={2019},
    pages={249–296} }'
  chicago: 'Lankeit, Johannes, and Michael Winkler. “Counterintuitive Dependence of
    Temporal Asymptotics on Initial Decay in a Nonlocal Degenerate Parabolic Equation
    Arising in Game Theory.” <i>Israel Journal of Mathematics</i> 233, no. 1 (2019):
    249–96. <a href="https://doi.org/10.1007/s11856-019-1900-8">https://doi.org/10.1007/s11856-019-1900-8</a>.'
  ieee: 'J. Lankeit and M. Winkler, “Counterintuitive dependence of temporal asymptotics
    on initial decay in a nonlocal degenerate parabolic equation arising in game theory,”
    <i>Israel Journal of Mathematics</i>, vol. 233, no. 1, pp. 249–296, 2019, doi:
    <a href="https://doi.org/10.1007/s11856-019-1900-8">10.1007/s11856-019-1900-8</a>.'
  mla: Lankeit, Johannes, and Michael Winkler. “Counterintuitive Dependence of Temporal
    Asymptotics on Initial Decay in a Nonlocal Degenerate Parabolic Equation Arising
    in Game Theory.” <i>Israel Journal of Mathematics</i>, vol. 233, no. 1, Springer
    Science and Business Media LLC, 2019, pp. 249–96, doi:<a href="https://doi.org/10.1007/s11856-019-1900-8">10.1007/s11856-019-1900-8</a>.
  short: J. Lankeit, M. Winkler, Israel Journal of Mathematics 233 (2019) 249–296.
date_created: 2025-12-19T10:51:24Z
date_updated: 2025-12-19T10:51:33Z
doi: 10.1007/s11856-019-1900-8
intvolume: '       233'
issue: '1'
language:
- iso: eng
page: 249-296
publication: Israel Journal of Mathematics
publication_identifier:
  issn:
  - 0021-2172
  - 1565-8511
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal
  degenerate parabolic equation arising in game theory
type: journal_article
user_id: '31496'
volume: 233
year: '2019'
...
---
_id: '63358'
author:
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: 'Tao Y, Winkler M. A chemotaxis-haptotaxis system with haptoattractant remodeling:
    Boundedness enforced by mild saturation of signal production. <i>Communications
    on Pure &#38;amp; Applied Analysis</i>. 2019;18(4):2047-2067. doi:<a href="https://doi.org/10.3934/cpaa.2019092">10.3934/cpaa.2019092</a>'
  apa: 'Tao, Y., &#38; Winkler, M. (2019). A chemotaxis-haptotaxis system with haptoattractant
    remodeling: Boundedness enforced by mild saturation of signal production. <i>Communications
    on Pure &#38;amp; Applied Analysis</i>, <i>18</i>(4), 2047–2067. <a href="https://doi.org/10.3934/cpaa.2019092">https://doi.org/10.3934/cpaa.2019092</a>'
  bibtex: '@article{Tao_Winkler_2019, title={A chemotaxis-haptotaxis system with haptoattractant
    remodeling: Boundedness enforced by mild saturation of signal production}, volume={18},
    DOI={<a href="https://doi.org/10.3934/cpaa.2019092">10.3934/cpaa.2019092</a>},
    number={4}, journal={Communications on Pure &#38;amp; Applied Analysis}, publisher={American
    Institute of Mathematical Sciences (AIMS)}, author={Tao, Youshan and Winkler,
    Michael}, year={2019}, pages={2047–2067} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “A Chemotaxis-Haptotaxis System with
    Haptoattractant Remodeling: Boundedness Enforced by Mild Saturation of Signal
    Production.” <i>Communications on Pure &#38;amp; Applied Analysis</i> 18, no.
    4 (2019): 2047–67. <a href="https://doi.org/10.3934/cpaa.2019092">https://doi.org/10.3934/cpaa.2019092</a>.'
  ieee: 'Y. Tao and M. Winkler, “A chemotaxis-haptotaxis system with haptoattractant
    remodeling: Boundedness enforced by mild saturation of signal production,” <i>Communications
    on Pure &#38;amp; Applied Analysis</i>, vol. 18, no. 4, pp. 2047–2067, 2019, doi:
    <a href="https://doi.org/10.3934/cpaa.2019092">10.3934/cpaa.2019092</a>.'
  mla: 'Tao, Youshan, and Michael Winkler. “A Chemotaxis-Haptotaxis System with Haptoattractant
    Remodeling: Boundedness Enforced by Mild Saturation of Signal Production.” <i>Communications
    on Pure &#38;amp; Applied Analysis</i>, vol. 18, no. 4, American Institute of
    Mathematical Sciences (AIMS), 2019, pp. 2047–67, doi:<a href="https://doi.org/10.3934/cpaa.2019092">10.3934/cpaa.2019092</a>.'
  short: Y. Tao, M. Winkler, Communications on Pure &#38;amp; Applied Analysis 18
    (2019) 2047–2067.
date_created: 2025-12-19T10:56:26Z
date_updated: 2025-12-19T10:56:33Z
doi: 10.3934/cpaa.2019092
intvolume: '        18'
issue: '4'
language:
- iso: eng
page: 2047-2067
publication: Communications on Pure &amp; Applied Analysis
publication_identifier:
  issn:
  - 1553-5258
publication_status: published
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: 'A chemotaxis-haptotaxis system with haptoattractant remodeling: Boundedness
  enforced by mild saturation of signal production'
type: journal_article
user_id: '31496'
volume: 18
year: '2019'
...
---
_id: '63357'
author:
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Tao Y, Winkler M. Global smooth solvability of a parabolic–elliptic nutrient
    taxis system in domains of arbitrary dimension. <i>Journal of Differential Equations</i>.
    2019;267(1):388-406. doi:<a href="https://doi.org/10.1016/j.jde.2019.01.014">10.1016/j.jde.2019.01.014</a>
  apa: Tao, Y., &#38; Winkler, M. (2019). Global smooth solvability of a parabolic–elliptic
    nutrient taxis system in domains of arbitrary dimension. <i>Journal of Differential
    Equations</i>, <i>267</i>(1), 388–406. <a href="https://doi.org/10.1016/j.jde.2019.01.014">https://doi.org/10.1016/j.jde.2019.01.014</a>
  bibtex: '@article{Tao_Winkler_2019, title={Global smooth solvability of a parabolic–elliptic
    nutrient taxis system in domains of arbitrary dimension}, volume={267}, DOI={<a
    href="https://doi.org/10.1016/j.jde.2019.01.014">10.1016/j.jde.2019.01.014</a>},
    number={1}, journal={Journal of Differential Equations}, publisher={Elsevier BV},
    author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={388–406} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “Global Smooth Solvability of a Parabolic–Elliptic
    Nutrient Taxis System in Domains of Arbitrary Dimension.” <i>Journal of Differential
    Equations</i> 267, no. 1 (2019): 388–406. <a href="https://doi.org/10.1016/j.jde.2019.01.014">https://doi.org/10.1016/j.jde.2019.01.014</a>.'
  ieee: 'Y. Tao and M. Winkler, “Global smooth solvability of a parabolic–elliptic
    nutrient taxis system in domains of arbitrary dimension,” <i>Journal of Differential
    Equations</i>, vol. 267, no. 1, pp. 388–406, 2019, doi: <a href="https://doi.org/10.1016/j.jde.2019.01.014">10.1016/j.jde.2019.01.014</a>.'
  mla: Tao, Youshan, and Michael Winkler. “Global Smooth Solvability of a Parabolic–Elliptic
    Nutrient Taxis System in Domains of Arbitrary Dimension.” <i>Journal of Differential
    Equations</i>, vol. 267, no. 1, Elsevier BV, 2019, pp. 388–406, doi:<a href="https://doi.org/10.1016/j.jde.2019.01.014">10.1016/j.jde.2019.01.014</a>.
  short: Y. Tao, M. Winkler, Journal of Differential Equations 267 (2019) 388–406.
date_created: 2025-12-19T10:55:53Z
date_updated: 2025-12-19T10:56:01Z
doi: 10.1016/j.jde.2019.01.014
intvolume: '       267'
issue: '1'
language:
- iso: eng
page: 388-406
publication: Journal of Differential Equations
publication_identifier:
  issn:
  - 0022-0396
publication_status: published
publisher: Elsevier BV
status: public
title: Global smooth solvability of a parabolic–elliptic nutrient taxis system in
  domains of arbitrary dimension
type: journal_article
user_id: '31496'
volume: 267
year: '2019'
...
---
_id: '63353'
author:
- first_name: Johannes
  full_name: Lankeit, Johannes
  last_name: Lankeit
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Lankeit J, Winkler M. Facing Low Regularity in Chemotaxis Systems. <i>Jahresbericht
    der Deutschen Mathematiker-Vereinigung</i>. 2019;122(1):35-64. doi:<a href="https://doi.org/10.1365/s13291-019-00210-z">10.1365/s13291-019-00210-z</a>
  apa: Lankeit, J., &#38; Winkler, M. (2019). Facing Low Regularity in Chemotaxis
    Systems. <i>Jahresbericht Der Deutschen Mathematiker-Vereinigung</i>, <i>122</i>(1),
    35–64. <a href="https://doi.org/10.1365/s13291-019-00210-z">https://doi.org/10.1365/s13291-019-00210-z</a>
  bibtex: '@article{Lankeit_Winkler_2019, title={Facing Low Regularity in Chemotaxis
    Systems}, volume={122}, DOI={<a href="https://doi.org/10.1365/s13291-019-00210-z">10.1365/s13291-019-00210-z</a>},
    number={1}, journal={Jahresbericht der Deutschen Mathematiker-Vereinigung}, publisher={Springer
    Fachmedien Wiesbaden GmbH}, author={Lankeit, Johannes and Winkler, Michael}, year={2019},
    pages={35–64} }'
  chicago: 'Lankeit, Johannes, and Michael Winkler. “Facing Low Regularity in Chemotaxis
    Systems.” <i>Jahresbericht Der Deutschen Mathematiker-Vereinigung</i> 122, no.
    1 (2019): 35–64. <a href="https://doi.org/10.1365/s13291-019-00210-z">https://doi.org/10.1365/s13291-019-00210-z</a>.'
  ieee: 'J. Lankeit and M. Winkler, “Facing Low Regularity in Chemotaxis Systems,”
    <i>Jahresbericht der Deutschen Mathematiker-Vereinigung</i>, vol. 122, no. 1,
    pp. 35–64, 2019, doi: <a href="https://doi.org/10.1365/s13291-019-00210-z">10.1365/s13291-019-00210-z</a>.'
  mla: Lankeit, Johannes, and Michael Winkler. “Facing Low Regularity in Chemotaxis
    Systems.” <i>Jahresbericht Der Deutschen Mathematiker-Vereinigung</i>, vol. 122,
    no. 1, Springer Fachmedien Wiesbaden GmbH, 2019, pp. 35–64, doi:<a href="https://doi.org/10.1365/s13291-019-00210-z">10.1365/s13291-019-00210-z</a>.
  short: J. Lankeit, M. Winkler, Jahresbericht Der Deutschen Mathematiker-Vereinigung
    122 (2019) 35–64.
date_created: 2025-12-19T10:52:04Z
date_updated: 2025-12-19T10:52:11Z
doi: 10.1365/s13291-019-00210-z
intvolume: '       122'
issue: '1'
language:
- iso: eng
page: 35-64
publication: Jahresbericht der Deutschen Mathematiker-Vereinigung
publication_identifier:
  issn:
  - 0012-0456
  - 1869-7135
publication_status: published
publisher: Springer Fachmedien Wiesbaden GmbH
status: public
title: Facing Low Regularity in Chemotaxis Systems
type: journal_article
user_id: '31496'
volume: 122
year: '2019'
...
---
_id: '63351'
author:
- first_name: Piotr
  full_name: Krzyżanowski, Piotr
  last_name: Krzyżanowski
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
- first_name: Dariusz
  full_name: Wrzosek, Dariusz
  last_name: Wrzosek
citation:
  ama: 'Krzyżanowski P, Winkler M, Wrzosek D. Migration-driven benefit in a two-species
    nutrient taxis system. <i>Nonlinear Analysis: Real World Applications</i>. 2019;48:94-116.
    doi:<a href="https://doi.org/10.1016/j.nonrwa.2019.01.006">10.1016/j.nonrwa.2019.01.006</a>'
  apa: 'Krzyżanowski, P., Winkler, M., &#38; Wrzosek, D. (2019). Migration-driven
    benefit in a two-species nutrient taxis system. <i>Nonlinear Analysis: Real World
    Applications</i>, <i>48</i>, 94–116. <a href="https://doi.org/10.1016/j.nonrwa.2019.01.006">https://doi.org/10.1016/j.nonrwa.2019.01.006</a>'
  bibtex: '@article{Krzyżanowski_Winkler_Wrzosek_2019, title={Migration-driven benefit
    in a two-species nutrient taxis system}, volume={48}, DOI={<a href="https://doi.org/10.1016/j.nonrwa.2019.01.006">10.1016/j.nonrwa.2019.01.006</a>},
    journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV},
    author={Krzyżanowski, Piotr and Winkler, Michael and Wrzosek, Dariusz}, year={2019},
    pages={94–116} }'
  chicago: 'Krzyżanowski, Piotr, Michael Winkler, and Dariusz Wrzosek. “Migration-Driven
    Benefit in a Two-Species Nutrient Taxis System.” <i>Nonlinear Analysis: Real World
    Applications</i> 48 (2019): 94–116. <a href="https://doi.org/10.1016/j.nonrwa.2019.01.006">https://doi.org/10.1016/j.nonrwa.2019.01.006</a>.'
  ieee: 'P. Krzyżanowski, M. Winkler, and D. Wrzosek, “Migration-driven benefit in
    a two-species nutrient taxis system,” <i>Nonlinear Analysis: Real World Applications</i>,
    vol. 48, pp. 94–116, 2019, doi: <a href="https://doi.org/10.1016/j.nonrwa.2019.01.006">10.1016/j.nonrwa.2019.01.006</a>.'
  mla: 'Krzyżanowski, Piotr, et al. “Migration-Driven Benefit in a Two-Species Nutrient
    Taxis System.” <i>Nonlinear Analysis: Real World Applications</i>, vol. 48, Elsevier
    BV, 2019, pp. 94–116, doi:<a href="https://doi.org/10.1016/j.nonrwa.2019.01.006">10.1016/j.nonrwa.2019.01.006</a>.'
  short: 'P. Krzyżanowski, M. Winkler, D. Wrzosek, Nonlinear Analysis: Real World
    Applications 48 (2019) 94–116.'
date_created: 2025-12-19T10:50:49Z
date_updated: 2025-12-19T10:50:59Z
doi: 10.1016/j.nonrwa.2019.01.006
intvolume: '        48'
language:
- iso: eng
page: 94-116
publication: 'Nonlinear Analysis: Real World Applications'
publication_identifier:
  issn:
  - 1468-1218
publication_status: published
publisher: Elsevier BV
status: public
title: Migration-driven benefit in a two-species nutrient taxis system
type: journal_article
user_id: '31496'
volume: 48
year: '2019'
...
---
_id: '63362'
abstract:
- lang: eng
  text: "<jats:p>The system</jats:p>\r\n          <jats:p>\r\n            <jats:disp-formula>\r\n
    \             <jats:tex-math>\\left\\{\\begin{matrix} u_{t} = \\mathrm{\\Delta
    }u−\\chi \\mathrm{∇} \\cdot \\left(\\frac{u}{v}\\mathrm{∇}v\\right)−uv + B_{1}(x,t),
    \\\\ v_{t} = \\mathrm{\\Delta }v + uv−v + B_{2}(x,t), \\\\  \\end{matrix}\\right.\\:\\:(
    \\star )</jats:tex-math>\r\n            </jats:disp-formula>\r\n          </jats:p>\r\n
    \         <jats:p>\r\n            is considered in a disk \r\n            <jats:inline-formula>\r\n
    \             <jats:tex-math>\\mathrm{\\Omega } \\subset \\mathbb{R}^{2}</jats:tex-math>\r\n
    \           </jats:inline-formula>\r\n            , with a positive parameter
    \r\n            <jats:inline-formula>\r\n              <jats:tex-math>χ</jats:tex-math>\r\n
    \           </jats:inline-formula>\r\n             and given nonnegative and suitably
    regular functions \r\n            <jats:inline-formula>\r\n              <jats:tex-math>B_{1}</jats:tex-math>\r\n
    \           </jats:inline-formula>\r\n             and \r\n            <jats:inline-formula>\r\n
    \             <jats:tex-math>B_{2}</jats:tex-math>\r\n            </jats:inline-formula>\r\n
    \            defined on \r\n            <jats:inline-formula>\r\n              <jats:tex-math>\\mathrm{\\Omega
    } \\times (0,\\infty )</jats:tex-math>\r\n            </jats:inline-formula>\r\n
    \           . In the particular version obtained when \r\n            <jats:inline-formula>\r\n
    \             <jats:tex-math>\\chi  = 2</jats:tex-math>\r\n            </jats:inline-formula>\r\n
    \           ,  (\r\n            <jats:inline-formula>\r\n              <jats:tex-math>\\star</jats:tex-math>\r\n
    \           </jats:inline-formula>\r\n            ) was proposed in [31] as a
    model for crime propagation in urban regions.\r\n          </jats:p>\r\n          <jats:p>\r\n
    \           Within a suitable generalized framework, it is shown that under mild
    assumptions on the parameter functions and the initial data the no-flux initial-boundary
    value problem for (\r\n            <jats:inline-formula>\r\n              <jats:tex-math>\\star</jats:tex-math>\r\n
    \           </jats:inline-formula>\r\n            ) possesses at least one global
    solution in the case when all model ingredients are radially symmetric with respect
    to the center of \r\n            <jats:inline-formula>\r\n              <jats:tex-math>Ω</jats:tex-math>\r\n
    \           </jats:inline-formula>\r\n            . Moreover, under an additional
    hypothesis on stabilization of the given external source terms in both equations,
    these solutions are shown to approach the solution of an elliptic boundary value
    problem in an appropriate sense.\r\n          </jats:p>\r\n          <jats:p>The
    analysis is based on deriving a priori estimates for a family of approximate problems,
    in a first step achieving some spatially global but weak initial regularity information
    which in a series of spatially localized arguments is thereafter successively
    improved.</jats:p>\r\n          <jats:p>\r\n            To the best of our knowledge,
    this is the first result on global existence of solutions to the two-dimensional
    version of the full original system  (\r\n            <jats:inline-formula>\r\n
    \             <jats:tex-math>\\star</jats:tex-math>\r\n            </jats:inline-formula>\r\n
    \           ) for arbitrarily large values of \r\n            <jats:inline-formula>\r\n
    \             <jats:tex-math>χ</jats:tex-math>\r\n            </jats:inline-formula>\r\n
    \           .\r\n          </jats:p>"
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Global solvability and stabilization in a two-dimensional cross-diffusion
    system modeling urban crime propagation. <i>Annales de l’Institut Henri Poincaré
    C, Analyse non linéaire</i>. 2019;36(6):1747-1790. doi:<a href="https://doi.org/10.1016/j.anihpc.2019.02.004">10.1016/j.anihpc.2019.02.004</a>
  apa: Winkler, M. (2019). Global solvability and stabilization in a two-dimensional
    cross-diffusion system modeling urban crime propagation. <i>Annales de l’Institut
    Henri Poincaré C, Analyse Non Linéaire</i>, <i>36</i>(6), 1747–1790. <a href="https://doi.org/10.1016/j.anihpc.2019.02.004">https://doi.org/10.1016/j.anihpc.2019.02.004</a>
  bibtex: '@article{Winkler_2019, title={Global solvability and stabilization in a
    two-dimensional cross-diffusion system modeling urban crime propagation}, volume={36},
    DOI={<a href="https://doi.org/10.1016/j.anihpc.2019.02.004">10.1016/j.anihpc.2019.02.004</a>},
    number={6}, journal={Annales de l’Institut Henri Poincaré C, Analyse non linéaire},
    publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler,
    Michael}, year={2019}, pages={1747–1790} }'
  chicago: 'Winkler, Michael. “Global Solvability and Stabilization in a Two-Dimensional
    Cross-Diffusion System Modeling Urban Crime Propagation.” <i>Annales de l’Institut
    Henri Poincaré C, Analyse Non Linéaire</i> 36, no. 6 (2019): 1747–90. <a href="https://doi.org/10.1016/j.anihpc.2019.02.004">https://doi.org/10.1016/j.anihpc.2019.02.004</a>.'
  ieee: 'M. Winkler, “Global solvability and stabilization in a two-dimensional cross-diffusion
    system modeling urban crime propagation,” <i>Annales de l’Institut Henri Poincaré
    C, Analyse non linéaire</i>, vol. 36, no. 6, pp. 1747–1790, 2019, doi: <a href="https://doi.org/10.1016/j.anihpc.2019.02.004">10.1016/j.anihpc.2019.02.004</a>.'
  mla: Winkler, Michael. “Global Solvability and Stabilization in a Two-Dimensional
    Cross-Diffusion System Modeling Urban Crime Propagation.” <i>Annales de l’Institut
    Henri Poincaré C, Analyse Non Linéaire</i>, vol. 36, no. 6, European Mathematical
    Society - EMS - Publishing House GmbH, 2019, pp. 1747–90, doi:<a href="https://doi.org/10.1016/j.anihpc.2019.02.004">10.1016/j.anihpc.2019.02.004</a>.
  short: M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire
    36 (2019) 1747–1790.
date_created: 2025-12-19T10:58:29Z
date_updated: 2025-12-19T10:58:37Z
doi: 10.1016/j.anihpc.2019.02.004
intvolume: '        36'
issue: '6'
language:
- iso: eng
page: 1747-1790
publication: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
publication_identifier:
  issn:
  - 0294-1449
  - 1873-1430
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: Global solvability and stabilization in a two-dimensional cross-diffusion system
  modeling urban crime propagation
type: journal_article
user_id: '31496'
volume: 36
year: '2019'
...
---
_id: '63363'
abstract:
- lang: eng
  text: '<jats:p> This work is concerned with a prototypical model for the spatio-temporal
    evolution of a forager–exploiter system, consisting of two species which simultaneously
    consume a common nutrient, and which interact through a taxis-type mechanism according
    to which individuals from the exploiter subpopulation move upward density gradients
    of the forager subgroup. Specifically, the model [Formula: see text] for the population
    densities [Formula: see text] and [Formula: see text] of foragers and exploiters,
    as well as the nutrient concentration [Formula: see text], is considered in smoothly
    bounded domains [Formula: see text], [Formula: see text]. It is first shown that
    under an explicit condition linking the sizes of the resource production rate
    [Formula: see text] and of the initial nutrient concentration, an associated Neumann-type
    initial-boundary value problem admits a global solution within an appropriate
    generalized concept. The second of the main results asserts stabilization of these
    solutions toward spatially homogeneous equilibria in the large time limit, provided
    that [Formula: see text] satisfies a mild assumption on temporal decay. To the
    best of our knowledge, these are the first rigorous analytical results addressing
    taxis-type cross-diffusion mechanisms coupled in a cascade-like manner as in (⋆).
    </jats:p>'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Global generalized solutions to a multi-dimensional doubly tactic
    resource consumption model accounting for social interactions. <i>Mathematical
    Models and Methods in Applied Sciences</i>. 2019;29(03):373-418. doi:<a href="https://doi.org/10.1142/s021820251950012x">10.1142/s021820251950012x</a>
  apa: Winkler, M. (2019). Global generalized solutions to a multi-dimensional doubly
    tactic resource consumption model accounting for social interactions. <i>Mathematical
    Models and Methods in Applied Sciences</i>, <i>29</i>(03), 373–418. <a href="https://doi.org/10.1142/s021820251950012x">https://doi.org/10.1142/s021820251950012x</a>
  bibtex: '@article{Winkler_2019, title={Global generalized solutions to a multi-dimensional
    doubly tactic resource consumption model accounting for social interactions},
    volume={29}, DOI={<a href="https://doi.org/10.1142/s021820251950012x">10.1142/s021820251950012x</a>},
    number={03}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World
    Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2019}, pages={373–418}
    }'
  chicago: 'Winkler, Michael. “Global Generalized Solutions to a Multi-Dimensional
    Doubly Tactic Resource Consumption Model Accounting for Social Interactions.”
    <i>Mathematical Models and Methods in Applied Sciences</i> 29, no. 03 (2019):
    373–418. <a href="https://doi.org/10.1142/s021820251950012x">https://doi.org/10.1142/s021820251950012x</a>.'
  ieee: 'M. Winkler, “Global generalized solutions to a multi-dimensional doubly tactic
    resource consumption model accounting for social interactions,” <i>Mathematical
    Models and Methods in Applied Sciences</i>, vol. 29, no. 03, pp. 373–418, 2019,
    doi: <a href="https://doi.org/10.1142/s021820251950012x">10.1142/s021820251950012x</a>.'
  mla: Winkler, Michael. “Global Generalized Solutions to a Multi-Dimensional Doubly
    Tactic Resource Consumption Model Accounting for Social Interactions.” <i>Mathematical
    Models and Methods in Applied Sciences</i>, vol. 29, no. 03, World Scientific
    Pub Co Pte Ltd, 2019, pp. 373–418, doi:<a href="https://doi.org/10.1142/s021820251950012x">10.1142/s021820251950012x</a>.
  short: M. Winkler, Mathematical Models and Methods in Applied Sciences 29 (2019)
    373–418.
date_created: 2025-12-19T10:59:03Z
date_updated: 2025-12-19T10:59:10Z
doi: 10.1142/s021820251950012x
intvolume: '        29'
issue: '03'
language:
- iso: eng
page: 373-418
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: Global generalized solutions to a multi-dimensional doubly tactic resource
  consumption model accounting for social interactions
type: journal_article
user_id: '31496'
volume: 29
year: '2019'
...
---
_id: '63366'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Instantaneous regularization of distributions from&#60;mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"
    id="d1e19" altimg="si17.gif"&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mo&#62;(&#60;/mml:mo&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;C&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;0&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;mml:mo&#62;)&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mo&#62;⋆&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;mml:mo&#62;×&#60;/mml:mo&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;L&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;2&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;/mml:math&#62;in
    the one-dimensional parabolic Keller–Segel system. <i>Nonlinear Analysis</i>.
    2019;183:102-116. doi:<a href="https://doi.org/10.1016/j.na.2019.01.017">10.1016/j.na.2019.01.017</a>
  apa: Winkler, M. (2019). Instantaneous regularization of distributions from&#60;mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"
    id="d1e19" altimg="si17.gif"&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mo&#62;(&#60;/mml:mo&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;C&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;0&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;mml:mo&#62;)&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mo&#62;⋆&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;mml:mo&#62;×&#60;/mml:mo&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;L&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;2&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;/mml:math&#62;in
    the one-dimensional parabolic Keller–Segel system. <i>Nonlinear Analysis</i>,
    <i>183</i>, 102–116. <a href="https://doi.org/10.1016/j.na.2019.01.017">https://doi.org/10.1016/j.na.2019.01.017</a>
  bibtex: '@article{Winkler_2019, title={Instantaneous regularization of distributions
    from&#60;mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"
    overflow="scroll" id="d1e19" altimg="si17.gif"&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mo&#62;(&#60;/mml:mo&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;C&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;0&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;mml:mo&#62;)&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mo&#62;⋆&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;mml:mo&#62;×&#60;/mml:mo&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;L&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;2&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;/mml:math&#62;in
    the one-dimensional parabolic Keller–Segel system}, volume={183}, DOI={<a href="https://doi.org/10.1016/j.na.2019.01.017">10.1016/j.na.2019.01.017</a>},
    journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Winkler, Michael},
    year={2019}, pages={102–116} }'
  chicago: 'Winkler, Michael. “Instantaneous Regularization of Distributions From&#60;mml:Math
    Xmlns:Mml="http://Www.W3.Org/1998/Math/MathML" Display="inline" Overflow="scroll"
    Id="d1e19" Altimg="si17.Gif"&#62;&#60;mml:Msup&#62;&#60;mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mo&#62;(&#60;/Mml:Mo&#62;&#60;mml:Msup&#62;&#60;mml:Mrow&#62;&#60;mml:Mi&#62;C&#60;/Mml:Mi&#62;&#60;/Mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mn&#62;0&#60;/Mml:Mn&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msup&#62;&#60;mml:Mo&#62;)&#60;/Mml:Mo&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mo&#62;⋆&#60;/Mml:Mo&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msup&#62;&#60;mml:Mo&#62;×&#60;/Mml:Mo&#62;&#60;mml:Msup&#62;&#60;mml:Mrow&#62;&#60;mml:Mi&#62;L&#60;/Mml:Mi&#62;&#60;/Mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mn&#62;2&#60;/Mml:Mn&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msup&#62;&#60;/Mml:Math&#62;in
    the One-Dimensional Parabolic Keller–Segel System.” <i>Nonlinear Analysis</i>
    183 (2019): 102–16. <a href="https://doi.org/10.1016/j.na.2019.01.017">https://doi.org/10.1016/j.na.2019.01.017</a>.'
  ieee: 'M. Winkler, “Instantaneous regularization of distributions from&#60;mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"
    id="d1e19" altimg="si17.gif"&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mo&#62;(&#60;/mml:mo&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;C&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;0&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;mml:mo&#62;)&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mo&#62;⋆&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;mml:mo&#62;×&#60;/mml:mo&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;L&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;2&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;/mml:math&#62;in
    the one-dimensional parabolic Keller–Segel system,” <i>Nonlinear Analysis</i>,
    vol. 183, pp. 102–116, 2019, doi: <a href="https://doi.org/10.1016/j.na.2019.01.017">10.1016/j.na.2019.01.017</a>.'
  mla: Winkler, Michael. “Instantaneous Regularization of Distributions From&#60;mml:Math
    Xmlns:Mml="http://Www.W3.Org/1998/Math/MathML" Display="inline" Overflow="scroll"
    Id="d1e19" Altimg="si17.Gif"&#62;&#60;mml:Msup&#62;&#60;mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mo&#62;(&#60;/Mml:Mo&#62;&#60;mml:Msup&#62;&#60;mml:Mrow&#62;&#60;mml:Mi&#62;C&#60;/Mml:Mi&#62;&#60;/Mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mn&#62;0&#60;/Mml:Mn&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msup&#62;&#60;mml:Mo&#62;)&#60;/Mml:Mo&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mo&#62;⋆&#60;/Mml:Mo&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msup&#62;&#60;mml:Mo&#62;×&#60;/Mml:Mo&#62;&#60;mml:Msup&#62;&#60;mml:Mrow&#62;&#60;mml:Mi&#62;L&#60;/Mml:Mi&#62;&#60;/Mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mn&#62;2&#60;/Mml:Mn&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msup&#62;&#60;/Mml:Math&#62;in
    the One-Dimensional Parabolic Keller–Segel System.” <i>Nonlinear Analysis</i>,
    vol. 183, Elsevier BV, 2019, pp. 102–16, doi:<a href="https://doi.org/10.1016/j.na.2019.01.017">10.1016/j.na.2019.01.017</a>.
  short: M. Winkler, Nonlinear Analysis 183 (2019) 102–116.
date_created: 2025-12-19T11:01:12Z
date_updated: 2025-12-19T11:01:21Z
doi: 10.1016/j.na.2019.01.017
intvolume: '       183'
language:
- iso: eng
page: 102-116
publication: Nonlinear Analysis
publication_identifier:
  issn:
  - 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: Instantaneous regularization of distributions from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"
  display="inline" overflow="scroll" id="d1e19" altimg="si17.gif"><mml:msup><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>⋆</mml:mo></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>in
  the one-dimensional parabolic Keller–Segel system
type: journal_article
user_id: '31496'
volume: 183
year: '2019'
...
---
_id: '63359'
article_number: '196'
author:
- first_name: Yulan
  full_name: Wang, Yulan
  last_name: Wang
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
- first_name: Zhaoyin
  full_name: Xiang, Zhaoyin
  last_name: Xiang
citation:
  ama: Wang Y, Winkler M, Xiang Z. The fast signal diffusion limit in Keller–Segel(-fluid)
    systems. <i>Calculus of Variations and Partial Differential Equations</i>. 2019;58(6).
    doi:<a href="https://doi.org/10.1007/s00526-019-1656-3">10.1007/s00526-019-1656-3</a>
  apa: Wang, Y., Winkler, M., &#38; Xiang, Z. (2019). The fast signal diffusion limit
    in Keller–Segel(-fluid) systems. <i>Calculus of Variations and Partial Differential
    Equations</i>, <i>58</i>(6), Article 196. <a href="https://doi.org/10.1007/s00526-019-1656-3">https://doi.org/10.1007/s00526-019-1656-3</a>
  bibtex: '@article{Wang_Winkler_Xiang_2019, title={The fast signal diffusion limit
    in Keller–Segel(-fluid) systems}, volume={58}, DOI={<a href="https://doi.org/10.1007/s00526-019-1656-3">10.1007/s00526-019-1656-3</a>},
    number={6196}, journal={Calculus of Variations and Partial Differential Equations},
    publisher={Springer Science and Business Media LLC}, author={Wang, Yulan and Winkler,
    Michael and Xiang, Zhaoyin}, year={2019} }'
  chicago: Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “The Fast Signal Diffusion
    Limit in Keller–Segel(-Fluid) Systems.” <i>Calculus of Variations and Partial
    Differential Equations</i> 58, no. 6 (2019). <a href="https://doi.org/10.1007/s00526-019-1656-3">https://doi.org/10.1007/s00526-019-1656-3</a>.
  ieee: 'Y. Wang, M. Winkler, and Z. Xiang, “The fast signal diffusion limit in Keller–Segel(-fluid)
    systems,” <i>Calculus of Variations and Partial Differential Equations</i>, vol.
    58, no. 6, Art. no. 196, 2019, doi: <a href="https://doi.org/10.1007/s00526-019-1656-3">10.1007/s00526-019-1656-3</a>.'
  mla: Wang, Yulan, et al. “The Fast Signal Diffusion Limit in Keller–Segel(-Fluid)
    Systems.” <i>Calculus of Variations and Partial Differential Equations</i>, vol.
    58, no. 6, 196, Springer Science and Business Media LLC, 2019, doi:<a href="https://doi.org/10.1007/s00526-019-1656-3">10.1007/s00526-019-1656-3</a>.
  short: Y. Wang, M. Winkler, Z. Xiang, Calculus of Variations and Partial Differential
    Equations 58 (2019).
date_created: 2025-12-19T10:56:58Z
date_updated: 2025-12-19T10:57:05Z
doi: 10.1007/s00526-019-1656-3
intvolume: '        58'
issue: '6'
language:
- iso: eng
publication: Calculus of Variations and Partial Differential Equations
publication_identifier:
  issn:
  - 0944-2669
  - 1432-0835
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: The fast signal diffusion limit in Keller–Segel(-fluid) systems
type: journal_article
user_id: '31496'
volume: 58
year: '2019'
...
---
_id: '63364'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. How strong singularities can be regularized by logistic degradation
    in the Keller–Segel system? <i>Annali di Matematica Pura ed Applicata (1923 -)</i>.
    2019;198(5):1615-1637. doi:<a href="https://doi.org/10.1007/s10231-019-00834-z">10.1007/s10231-019-00834-z</a>
  apa: Winkler, M. (2019). How strong singularities can be regularized by logistic
    degradation in the Keller–Segel system? <i>Annali Di Matematica Pura Ed Applicata
    (1923 -)</i>, <i>198</i>(5), 1615–1637. <a href="https://doi.org/10.1007/s10231-019-00834-z">https://doi.org/10.1007/s10231-019-00834-z</a>
  bibtex: '@article{Winkler_2019, title={How strong singularities can be regularized
    by logistic degradation in the Keller–Segel system?}, volume={198}, DOI={<a href="https://doi.org/10.1007/s10231-019-00834-z">10.1007/s10231-019-00834-z</a>},
    number={5}, journal={Annali di Matematica Pura ed Applicata (1923 -)}, publisher={Springer
    Science and Business Media LLC}, author={Winkler, Michael}, year={2019}, pages={1615–1637}
    }'
  chicago: 'Winkler, Michael. “How Strong Singularities Can Be Regularized by Logistic
    Degradation in the Keller–Segel System?” <i>Annali Di Matematica Pura Ed Applicata
    (1923 -)</i> 198, no. 5 (2019): 1615–37. <a href="https://doi.org/10.1007/s10231-019-00834-z">https://doi.org/10.1007/s10231-019-00834-z</a>.'
  ieee: 'M. Winkler, “How strong singularities can be regularized by logistic degradation
    in the Keller–Segel system?,” <i>Annali di Matematica Pura ed Applicata (1923
    -)</i>, vol. 198, no. 5, pp. 1615–1637, 2019, doi: <a href="https://doi.org/10.1007/s10231-019-00834-z">10.1007/s10231-019-00834-z</a>.'
  mla: Winkler, Michael. “How Strong Singularities Can Be Regularized by Logistic
    Degradation in the Keller–Segel System?” <i>Annali Di Matematica Pura Ed Applicata
    (1923 -)</i>, vol. 198, no. 5, Springer Science and Business Media LLC, 2019,
    pp. 1615–37, doi:<a href="https://doi.org/10.1007/s10231-019-00834-z">10.1007/s10231-019-00834-z</a>.
  short: M. Winkler, Annali Di Matematica Pura Ed Applicata (1923 -) 198 (2019) 1615–1637.
date_created: 2025-12-19T10:59:58Z
date_updated: 2025-12-19T11:00:04Z
doi: 10.1007/s10231-019-00834-z
intvolume: '       198'
issue: '5'
language:
- iso: eng
page: 1615-1637
publication: Annali di Matematica Pura ed Applicata (1923 -)
publication_identifier:
  issn:
  - 0373-3114
  - 1618-1891
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: How strong singularities can be regularized by logistic degradation in the
  Keller–Segel system?
type: journal_article
user_id: '31496'
volume: 198
year: '2019'
...
---
_id: '63367'
article_number: '48'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Does repulsion-type directional preference in chemotactic migration
    continue to regularize Keller–Segel systems when coupled to the Navier–Stokes
    equations? <i>Nonlinear Differential Equations and Applications NoDEA</i>. 2019;26(6).
    doi:<a href="https://doi.org/10.1007/s00030-019-0600-8">10.1007/s00030-019-0600-8</a>
  apa: Winkler, M. (2019). Does repulsion-type directional preference in chemotactic
    migration continue to regularize Keller–Segel systems when coupled to the Navier–Stokes
    equations? <i>Nonlinear Differential Equations and Applications NoDEA</i>, <i>26</i>(6),
    Article 48. <a href="https://doi.org/10.1007/s00030-019-0600-8">https://doi.org/10.1007/s00030-019-0600-8</a>
  bibtex: '@article{Winkler_2019, title={Does repulsion-type directional preference
    in chemotactic migration continue to regularize Keller–Segel systems when coupled
    to the Navier–Stokes equations?}, volume={26}, DOI={<a href="https://doi.org/10.1007/s00030-019-0600-8">10.1007/s00030-019-0600-8</a>},
    number={648}, journal={Nonlinear Differential Equations and Applications NoDEA},
    publisher={Springer Science and Business Media LLC}, author={Winkler, Michael},
    year={2019} }'
  chicago: Winkler, Michael. “Does Repulsion-Type Directional Preference in Chemotactic
    Migration Continue to Regularize Keller–Segel Systems When Coupled to the Navier–Stokes
    Equations?” <i>Nonlinear Differential Equations and Applications NoDEA</i> 26,
    no. 6 (2019). <a href="https://doi.org/10.1007/s00030-019-0600-8">https://doi.org/10.1007/s00030-019-0600-8</a>.
  ieee: 'M. Winkler, “Does repulsion-type directional preference in chemotactic migration
    continue to regularize Keller–Segel systems when coupled to the Navier–Stokes
    equations?,” <i>Nonlinear Differential Equations and Applications NoDEA</i>, vol.
    26, no. 6, Art. no. 48, 2019, doi: <a href="https://doi.org/10.1007/s00030-019-0600-8">10.1007/s00030-019-0600-8</a>.'
  mla: Winkler, Michael. “Does Repulsion-Type Directional Preference in Chemotactic
    Migration Continue to Regularize Keller–Segel Systems When Coupled to the Navier–Stokes
    Equations?” <i>Nonlinear Differential Equations and Applications NoDEA</i>, vol.
    26, no. 6, 48, Springer Science and Business Media LLC, 2019, doi:<a href="https://doi.org/10.1007/s00030-019-0600-8">10.1007/s00030-019-0600-8</a>.
  short: M. Winkler, Nonlinear Differential Equations and Applications NoDEA 26 (2019).
date_created: 2025-12-19T11:01:41Z
date_updated: 2025-12-19T11:01:47Z
doi: 10.1007/s00030-019-0600-8
intvolume: '        26'
issue: '6'
language:
- iso: eng
publication: Nonlinear Differential Equations and Applications NoDEA
publication_identifier:
  issn:
  - 1021-9722
  - 1420-9004
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Does repulsion-type directional preference in chemotactic migration continue
  to regularize Keller–Segel systems when coupled to the Navier–Stokes equations?
type: journal_article
user_id: '31496'
volume: 26
year: '2019'
...
---
_id: '8482'
author:
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
- first_name: Veronika
  full_name: Schulze, Veronika
  last_name: Schulze
- first_name: Nadine
  full_name: Feldmann, Nadine
  id: '23082'
  last_name: Feldmann
- first_name: Leander
  full_name: Claes, Leander
  id: '11829'
  last_name: Claes
  orcid: 0000-0002-4393-268X
citation:
  ama: Jurgelucks B, Schulze V, Feldmann N, Claes L. <i>Arbitrary Sensitivity for
    Inverse Problems in Piezoelectricity</i>.; 2019.
  apa: Jurgelucks, B., Schulze, V., Feldmann, N., &#38; Claes, L. (2019). <i>Arbitrary
    sensitivity for inverse problems in piezoelectricity</i>.
  bibtex: '@book{Jurgelucks_Schulze_Feldmann_Claes_2019, place={GAMM Annual Meeting,
    Wien}, title={Arbitrary sensitivity for inverse problems in piezoelectricity},
    author={Jurgelucks, Benjamin and Schulze, Veronika and Feldmann, Nadine and Claes,
    Leander}, year={2019} }'
  chicago: Jurgelucks, Benjamin, Veronika Schulze, Nadine Feldmann, and Leander Claes.
    <i>Arbitrary Sensitivity for Inverse Problems in Piezoelectricity</i>. GAMM Annual
    Meeting, Wien, 2019.
  ieee: B. Jurgelucks, V. Schulze, N. Feldmann, and L. Claes, <i>Arbitrary sensitivity
    for inverse problems in piezoelectricity</i>. GAMM Annual Meeting, Wien, 2019.
  mla: Jurgelucks, Benjamin, et al. <i>Arbitrary Sensitivity for Inverse Problems
    in Piezoelectricity</i>. 2019.
  short: B. Jurgelucks, V. Schulze, N. Feldmann, L. Claes, Arbitrary Sensitivity for
    Inverse Problems in Piezoelectricity, GAMM Annual Meeting, Wien, 2019.
date_created: 2019-03-08T13:20:14Z
date_updated: 2026-01-05T07:53:43Z
department:
- _id: '104'
- _id: '49'
language:
- iso: eng
place: GAMM Annual Meeting, Wien
project:
- _id: '90'
  name: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
    Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums
- _id: '245'
  name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
    für Leistungsschallanwendungen (NEPTUN)'
status: public
title: Arbitrary sensitivity for inverse problems in piezoelectricity
type: misc
user_id: '11829'
year: '2019'
...
---
_id: '12952'
author:
- first_name: Dmitrij
  full_name: Dreiling, Dmitrij
  id: '32616'
  last_name: Dreiling
- first_name: Nadine
  full_name: Feldmann, Nadine
  id: '23082'
  last_name: Feldmann
- first_name: Bernd
  full_name: Henning, Bernd
  id: '213'
  last_name: Henning
citation:
  ama: 'Dreiling D, Feldmann N, Henning B. A DC bias approach to the characterisation
    of non-linear material parameters of piezoelectric ceramics. In: AMA Service GmbH;
    2019. doi:<a href="https://doi.org/10.5162/sensoren2019/5.1.2">10.5162/sensoren2019/5.1.2</a>'
  apa: Dreiling, D., Feldmann, N., &#38; Henning, B. (2019). <i>A DC bias approach
    to the characterisation of non-linear material parameters of piezoelectric ceramics</i>.
    20. GMA/ITG-Fachtagung Sensoren und Messsysteme 2019, Nürnberg. <a href="https://doi.org/10.5162/sensoren2019/5.1.2">https://doi.org/10.5162/sensoren2019/5.1.2</a>
  bibtex: '@inproceedings{Dreiling_Feldmann_Henning_2019, title={A DC bias approach
    to the characterisation of non-linear material parameters of piezoelectric ceramics},
    DOI={<a href="https://doi.org/10.5162/sensoren2019/5.1.2">10.5162/sensoren2019/5.1.2</a>},
    publisher={AMA Service GmbH}, author={Dreiling, Dmitrij and Feldmann, Nadine and
    Henning, Bernd}, year={2019} }'
  chicago: Dreiling, Dmitrij, Nadine Feldmann, and Bernd Henning. “A DC Bias Approach
    to the Characterisation of Non-Linear Material Parameters of Piezoelectric Ceramics.”
    AMA Service GmbH, 2019. <a href="https://doi.org/10.5162/sensoren2019/5.1.2">https://doi.org/10.5162/sensoren2019/5.1.2</a>.
  ieee: 'D. Dreiling, N. Feldmann, and B. Henning, “A DC bias approach to the characterisation
    of non-linear material parameters of piezoelectric ceramics,” presented at the
    20. GMA/ITG-Fachtagung Sensoren und Messsysteme 2019, Nürnberg, 2019, doi: <a
    href="https://doi.org/10.5162/sensoren2019/5.1.2">10.5162/sensoren2019/5.1.2</a>.'
  mla: Dreiling, Dmitrij, et al. <i>A DC Bias Approach to the Characterisation of
    Non-Linear Material Parameters of Piezoelectric Ceramics</i>. AMA Service GmbH,
    2019, doi:<a href="https://doi.org/10.5162/sensoren2019/5.1.2">10.5162/sensoren2019/5.1.2</a>.
  short: 'D. Dreiling, N. Feldmann, B. Henning, in: AMA Service GmbH, 2019.'
conference:
  end_date: 2019-06-26
  location: Nürnberg
  name: 20. GMA/ITG-Fachtagung Sensoren und Messsysteme 2019
  start_date: 2019-06-25
date_created: 2019-08-23T11:02:31Z
date_updated: 2026-01-05T08:28:49Z
department:
- _id: '49'
doi: 10.5162/sensoren2019/5.1.2
keyword:
- piezoelectric materials
- piezoelectric properties
- DC bias field
- non-linear material parameters
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.ama-science.org/proceedings/getFile/ZmDmAN
oa: '1'
project:
- _id: '90'
  name: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
    Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums
- _id: '245'
  name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
    für Leistungsschallanwendungen (NEPTUN)'
publisher: AMA Service GmbH
status: public
title: A DC bias approach to the characterisation of non-linear material parameters
  of piezoelectric ceramics
type: conference
user_id: '32616'
year: '2019'
...
---
_id: '59495'
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: 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. TiO<sub>2–<i>x</i></sub>-Enhanced IR Hot Carrier
    Based Photodetection in Metal Thin Film–Si Junctions. <i>ACS Photonics</i>. 2019;6(4):953-960.
    doi:<a href="https://doi.org/10.1021/acsphotonics.8b01639">10.1021/acsphotonics.8b01639</a>
  apa: Güsken, N. A., Lauri, A., Li, Y., Matsui, T., Doiron, B., Bower, R., Regoutz,
    A., Mihai, A., Petrov, P. K., Oulton, R. F., Cohen, L. F., &#38; Maier, S. A.
    (2019). TiO<sub>2–<i>x</i></sub>-Enhanced IR Hot Carrier Based Photodetection
    in Metal Thin Film–Si Junctions. <i>ACS Photonics</i>, <i>6</i>(4), 953–960. <a
    href="https://doi.org/10.1021/acsphotonics.8b01639">https://doi.org/10.1021/acsphotonics.8b01639</a>
  bibtex: '@article{Güsken_Lauri_Li_Matsui_Doiron_Bower_Regoutz_Mihai_Petrov_Oulton_et
    al._2019, title={TiO<sub>2–<i>x</i></sub>-Enhanced IR Hot Carrier Based Photodetection
    in Metal Thin Film–Si Junctions}, volume={6}, DOI={<a href="https://doi.org/10.1021/acsphotonics.8b01639">10.1021/acsphotonics.8b01639</a>},
    number={4}, journal={ACS Photonics}, publisher={American Chemical Society (ACS)},
    author={Güsken, Nicholas Alexander and Lauri, Alberto and Li, Yi and Matsui, Takayuki
    and Doiron, Brock and Bower, Ryan and Regoutz, Anna and Mihai, Andrei and Petrov,
    Peter K. and Oulton, Rupert F. and et al.}, year={2019}, pages={953–960} }'
  chicago: 'Güsken, Nicholas Alexander, Alberto Lauri, Yi Li, Takayuki Matsui, Brock
    Doiron, Ryan Bower, Anna Regoutz, et al. “TiO<sub>2–<i>x</i></sub>-Enhanced IR
    Hot Carrier Based Photodetection in Metal Thin Film–Si Junctions.” <i>ACS Photonics</i>
    6, no. 4 (2019): 953–60. <a href="https://doi.org/10.1021/acsphotonics.8b01639">https://doi.org/10.1021/acsphotonics.8b01639</a>.'
  ieee: 'N. A. Güsken <i>et al.</i>, “TiO<sub>2–<i>x</i></sub>-Enhanced IR Hot Carrier
    Based Photodetection in Metal Thin Film–Si Junctions,” <i>ACS Photonics</i>, vol.
    6, no. 4, pp. 953–960, 2019, doi: <a href="https://doi.org/10.1021/acsphotonics.8b01639">10.1021/acsphotonics.8b01639</a>.'
  mla: Güsken, Nicholas Alexander, et al. “TiO<sub>2–<i>x</i></sub>-Enhanced IR Hot
    Carrier Based Photodetection in Metal Thin Film–Si Junctions.” <i>ACS Photonics</i>,
    vol. 6, no. 4, American Chemical Society (ACS), 2019, pp. 953–60, doi:<a href="https://doi.org/10.1021/acsphotonics.8b01639">10.1021/acsphotonics.8b01639</a>.
  short: N.A. Güsken, A. Lauri, Y. Li, T. Matsui, B. Doiron, R. Bower, A. Regoutz,
    A. Mihai, P.K. Petrov, R.F. Oulton, L.F. Cohen, S.A. Maier, ACS Photonics 6 (2019)
    953–960.
date_created: 2025-04-10T13:21:56Z
date_updated: 2026-01-08T16:08:56Z
doi: 10.1021/acsphotonics.8b01639
intvolume: '         6'
issue: '4'
language:
- iso: eng
page: 953-960
publication: ACS Photonics
publication_identifier:
  issn:
  - 2330-4022
  - 2330-4022
publication_status: published
publisher: American Chemical Society (ACS)
status: public
title: TiO<sub>2–<i>x</i></sub>-Enhanced IR Hot Carrier Based Photodetection in Metal
  Thin Film–Si Junctions
type: journal_article
user_id: '112030'
volume: 6
year: '2019'
...
---
_id: '44372'
author:
- first_name: Stephan
  full_name: Ahrens, Stephan
  id: '89265'
  last_name: Ahrens
citation:
  ama: Ahrens S. <i>Unheard Music – Notes on Silent Music Moments. </i>.; 2019.
  apa: Ahrens, S. (2019). <i>Unheard music – Notes on silent music moments. </i>.
  bibtex: '@book{Ahrens_2019, title={Unheard music – Notes on silent music moments.
    }, author={Ahrens, Stephan}, year={2019} }'
  chicago: Ahrens, Stephan. <i>Unheard Music – Notes on Silent Music Moments. </i>,
    2019.
  ieee: S. Ahrens, <i>Unheard music – Notes on silent music moments. </i>. 2019.
  mla: Ahrens, Stephan. <i>Unheard Music – Notes on Silent Music Moments. </i>. 2019.
  short: S. Ahrens, Unheard Music – Notes on Silent Music Moments. , 2019.
date_created: 2023-05-03T07:52:46Z
date_updated: 2026-03-10T12:34:25Z
department:
- _id: '731'
extern: '1'
language:
- iso: eng
related_material:
  link:
  - relation: confirmation
    url: http://www.giornatedelcinemamuto.it/wp-content/uploads/2019/10/StephanAhrens_Unheard-music-Notes-on-silent-music-moments.pdf
status: public
title: 'Unheard music – Notes on silent music moments. '
type: misc
user_id: '14972'
year: '2019'
...