---
_id: '63156'
abstract:
- lang: eng
  text: <jats:p>GaAs quantum dots (QDs) have recently emerged as state-of-the-art
    semiconductor sources of polarization-entangled photon pairs, however, without
    site-control capability. In this work, we present a systematic study of epitaxially
    grown GaAs/AlxGa1-xAs site-controlled pyramidal QDs possessing unrivaled excitonic
    uniformity in comparison to their InGaAs counterparts or GaAs QDs fabricated by
    other techniques. We have experimentally and systematically investigated the binding
    energy of biexcitons, highlighting the importance of the uniformity of all excitonic
    lines, rather than concentrating solely on the uniformity of the neutral exciton
    as a typical figure of merit, as it is normally done in the literature. We present
    optical signatures of GaAs QDs within a range of ∼250 meV with a remarkable uniformity
    within each individual sample, the ability to excite the biexciton state resonantly,
    and a systematic study of the fine-structure splitting (FSS) values—features important
    for polarization entangled photon emission. While, in general, we observe relatively
    large FSS distribution and associated non-uniformities, we discuss several strategies
    to suppress the average FSS values to &amp;lt;15 μeV.</jats:p>
article_number: '073103'
author:
- first_name: Iman
  full_name: Ranjbar Jahromi, Iman
  last_name: Ranjbar Jahromi
- first_name: Gediminas
  full_name: Juska, Gediminas
  last_name: Juska
- first_name: Simone
  full_name: Varo, Simone
  last_name: Varo
- first_name: Francesco
  full_name: Basso Basset, Francesco
  last_name: Basso Basset
- first_name: Francesco
  full_name: Salusti, Francesco
  last_name: Salusti
- first_name: Rinaldo
  full_name: Trotta, Rinaldo
  last_name: Trotta
- first_name: Agnieszka
  full_name: Gocalinska, Agnieszka
  last_name: Gocalinska
- first_name: Francesco
  full_name: Mattana, Francesco
  last_name: Mattana
- first_name: Emanuele
  full_name: Pelucchi, Emanuele
  last_name: Pelucchi
citation:
  ama: Ranjbar Jahromi I, Juska G, Varo S, et al. Optical properties and symmetry
    optimization of spectrally (excitonically) uniform site-controlled GaAs pyramidal
    quantum dots. <i>Applied Physics Letters</i>. 2021;118(7). doi:<a href="https://doi.org/10.1063/5.0030296">10.1063/5.0030296</a>
  apa: Ranjbar Jahromi, I., Juska, G., Varo, S., Basso Basset, F., Salusti, F., Trotta,
    R., Gocalinska, A., Mattana, F., &#38; Pelucchi, E. (2021). Optical properties
    and symmetry optimization of spectrally (excitonically) uniform site-controlled
    GaAs pyramidal quantum dots. <i>Applied Physics Letters</i>, <i>118</i>(7), Article
    073103. <a href="https://doi.org/10.1063/5.0030296">https://doi.org/10.1063/5.0030296</a>
  bibtex: '@article{Ranjbar Jahromi_Juska_Varo_Basso Basset_Salusti_Trotta_Gocalinska_Mattana_Pelucchi_2021,
    title={Optical properties and symmetry optimization of spectrally (excitonically)
    uniform site-controlled GaAs pyramidal quantum dots}, volume={118}, DOI={<a href="https://doi.org/10.1063/5.0030296">10.1063/5.0030296</a>},
    number={7073103}, journal={Applied Physics Letters}, publisher={AIP Publishing},
    author={Ranjbar Jahromi, Iman and Juska, Gediminas and Varo, Simone and Basso
    Basset, Francesco and Salusti, Francesco and Trotta, Rinaldo and Gocalinska, Agnieszka
    and Mattana, Francesco and Pelucchi, Emanuele}, year={2021} }'
  chicago: Ranjbar Jahromi, Iman, Gediminas Juska, Simone Varo, Francesco Basso Basset,
    Francesco Salusti, Rinaldo Trotta, Agnieszka Gocalinska, Francesco Mattana, and
    Emanuele Pelucchi. “Optical Properties and Symmetry Optimization of Spectrally
    (Excitonically) Uniform Site-Controlled GaAs Pyramidal Quantum Dots.” <i>Applied
    Physics Letters</i> 118, no. 7 (2021). <a href="https://doi.org/10.1063/5.0030296">https://doi.org/10.1063/5.0030296</a>.
  ieee: 'I. Ranjbar Jahromi <i>et al.</i>, “Optical properties and symmetry optimization
    of spectrally (excitonically) uniform site-controlled GaAs pyramidal quantum dots,”
    <i>Applied Physics Letters</i>, vol. 118, no. 7, Art. no. 073103, 2021, doi: <a
    href="https://doi.org/10.1063/5.0030296">10.1063/5.0030296</a>.'
  mla: Ranjbar Jahromi, Iman, et al. “Optical Properties and Symmetry Optimization
    of Spectrally (Excitonically) Uniform Site-Controlled GaAs Pyramidal Quantum Dots.”
    <i>Applied Physics Letters</i>, vol. 118, no. 7, 073103, AIP Publishing, 2021,
    doi:<a href="https://doi.org/10.1063/5.0030296">10.1063/5.0030296</a>.
  short: I. Ranjbar Jahromi, G. Juska, S. Varo, F. Basso Basset, F. Salusti, R. Trotta,
    A. Gocalinska, F. Mattana, E. Pelucchi, Applied Physics Letters 118 (2021).
date_created: 2025-12-16T15:20:35Z
date_updated: 2025-12-17T15:14:13Z
doi: 10.1063/5.0030296
intvolume: '       118'
issue: '7'
language:
- iso: eng
publication: Applied Physics Letters
publication_identifier:
  issn:
  - 0003-6951
  - 1077-3118
publication_status: published
publisher: AIP Publishing
status: public
title: Optical properties and symmetry optimization of spectrally (excitonically)
  uniform site-controlled GaAs pyramidal quantum dots
type: journal_article
user_id: '94793'
volume: 118
year: '2021'
...
---
_id: '23727'
article_number: '064002'
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 high dynamic-range
    superconducting nanowire single-photon detector. <i>Superconductor Science and
    Technology</i>. Published online 2021. doi:<a href="https://doi.org/10.1088/1361-6668/abee9a">10.1088/1361-6668/abee9a</a>
  apa: Schapeler, T., Höpker, J. P., &#38; Bartley, T. (2021). Quantum detector tomography
    of a high dynamic-range superconducting nanowire single-photon detector. <i>Superconductor
    Science and Technology</i>, Article 064002. <a href="https://doi.org/10.1088/1361-6668/abee9a">https://doi.org/10.1088/1361-6668/abee9a</a>
  bibtex: '@article{Schapeler_Höpker_Bartley_2021, title={Quantum detector tomography
    of a high dynamic-range superconducting nanowire single-photon detector}, DOI={<a
    href="https://doi.org/10.1088/1361-6668/abee9a">10.1088/1361-6668/abee9a</a>},
    number={064002}, journal={Superconductor Science and Technology}, author={Schapeler,
    Timon and Höpker, Jan Philipp and Bartley, Tim}, year={2021} }'
  chicago: Schapeler, Timon, Jan Philipp Höpker, and Tim Bartley. “Quantum Detector
    Tomography of a High Dynamic-Range Superconducting Nanowire Single-Photon Detector.”
    <i>Superconductor Science and Technology</i>, 2021. <a href="https://doi.org/10.1088/1361-6668/abee9a">https://doi.org/10.1088/1361-6668/abee9a</a>.
  ieee: 'T. Schapeler, J. P. Höpker, and T. Bartley, “Quantum detector tomography
    of a high dynamic-range superconducting nanowire single-photon detector,” <i>Superconductor
    Science and Technology</i>, Art. no. 064002, 2021, doi: <a href="https://doi.org/10.1088/1361-6668/abee9a">10.1088/1361-6668/abee9a</a>.'
  mla: Schapeler, Timon, et al. “Quantum Detector Tomography of a High Dynamic-Range
    Superconducting Nanowire Single-Photon Detector.” <i>Superconductor Science and
    Technology</i>, 064002, 2021, doi:<a href="https://doi.org/10.1088/1361-6668/abee9a">10.1088/1361-6668/abee9a</a>.
  short: T. Schapeler, J.P. Höpker, T. Bartley, Superconductor Science and Technology
    (2021).
date_created: 2021-09-03T08:03:34Z
date_updated: 2025-12-18T17:07:44Z
department:
- _id: '15'
- _id: '230'
doi: 10.1088/1361-6668/abee9a
language:
- iso: eng
project:
- _id: '209'
  name: 'ISOQC: Quantenkommunikation mit integrierter Optik im Zusammenhang mit supraleitender
    Elektronik'
publication: Superconductor Science and Technology
publication_identifier:
  issn:
  - 0953-2048
  - 1361-6668
publication_status: published
status: public
title: Quantum detector tomography of a high dynamic-range superconducting nanowire
  single-photon detector
type: journal_article
user_id: '55629'
year: '2021'
...
---
_id: '63236'
abstract:
- lang: eng
  text: '<jats:p>The response of the quartz crystal microbalance (QCM, also: QCM-D
    for “QCM with Dissipation monitoring”) to loading with a diverse set of samples
    is reviewed in a consistent frame. After a brief introduction to the advanced
    QCMs, the governing equation (the small-load approximation) is derived. Planar
    films and adsorbates are modeled based on the acoustic multilayer formalism. In
    liquid environments, viscoelastic spectroscopy and high-frequency rheology are
    possible, even on layers with a thickness in the monolayer range. For particulate
    samples, the contact stiffness can be derived. Because the stress at the contact
    is large, the force is not always proportional to the displacement. Nonlinear
    effects are observed, leading to a dependence of the resonance frequency and the
    resonance bandwidth on the amplitude of oscillation. Partial slip, in particular,
    can be studied in detail. Advanced topics include structured samples and the extension
    of the small-load approximation to its tensorial version.</jats:p>'
article_number: '3490'
author:
- first_name: Diethelm
  full_name: Johannsmann, Diethelm
  last_name: Johannsmann
- first_name: Arne
  full_name: Langhoff, Arne
  last_name: Langhoff
- first_name: Christian
  full_name: Leppin, Christian
  id: '117722'
  last_name: Leppin
citation:
  ama: 'Johannsmann D, Langhoff A, Leppin C. Studying Soft Interfaces with Shear Waves:
    Principles and Applications of the Quartz Crystal Microbalance (QCM). <i>Sensors</i>.
    2021;21(10). doi:<a href="https://doi.org/10.3390/s21103490">10.3390/s21103490</a>'
  apa: 'Johannsmann, D., Langhoff, A., &#38; Leppin, C. (2021). Studying Soft Interfaces
    with Shear Waves: Principles and Applications of the Quartz Crystal Microbalance
    (QCM). <i>Sensors</i>, <i>21</i>(10), Article 3490. <a href="https://doi.org/10.3390/s21103490">https://doi.org/10.3390/s21103490</a>'
  bibtex: '@article{Johannsmann_Langhoff_Leppin_2021, title={Studying Soft Interfaces
    with Shear Waves: Principles and Applications of the Quartz Crystal Microbalance
    (QCM)}, volume={21}, DOI={<a href="https://doi.org/10.3390/s21103490">10.3390/s21103490</a>},
    number={103490}, journal={Sensors}, publisher={MDPI AG}, author={Johannsmann,
    Diethelm and Langhoff, Arne and Leppin, Christian}, year={2021} }'
  chicago: 'Johannsmann, Diethelm, Arne Langhoff, and Christian Leppin. “Studying
    Soft Interfaces with Shear Waves: Principles and Applications of the Quartz Crystal
    Microbalance (QCM).” <i>Sensors</i> 21, no. 10 (2021). <a href="https://doi.org/10.3390/s21103490">https://doi.org/10.3390/s21103490</a>.'
  ieee: 'D. Johannsmann, A. Langhoff, and C. Leppin, “Studying Soft Interfaces with
    Shear Waves: Principles and Applications of the Quartz Crystal Microbalance (QCM),”
    <i>Sensors</i>, vol. 21, no. 10, Art. no. 3490, 2021, doi: <a href="https://doi.org/10.3390/s21103490">10.3390/s21103490</a>.'
  mla: 'Johannsmann, Diethelm, et al. “Studying Soft Interfaces with Shear Waves:
    Principles and Applications of the Quartz Crystal Microbalance (QCM).” <i>Sensors</i>,
    vol. 21, no. 10, 3490, MDPI AG, 2021, doi:<a href="https://doi.org/10.3390/s21103490">10.3390/s21103490</a>.'
  short: D. Johannsmann, A. Langhoff, C. Leppin, Sensors 21 (2021).
date_created: 2025-12-18T17:25:13Z
date_updated: 2025-12-18T17:36:06Z
doi: 10.3390/s21103490
extern: '1'
intvolume: '        21'
issue: '10'
language:
- iso: eng
publication: Sensors
publication_identifier:
  issn:
  - 1424-8220
publication_status: published
publisher: MDPI AG
quality_controlled: '1'
status: public
title: 'Studying Soft Interfaces with Shear Waves: Principles and Applications of
  the Quartz Crystal Microbalance (QCM)'
type: journal_article
user_id: '117722'
volume: 21
year: '2021'
...
---
_id: '63235'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>A fast electrochemical quartz crystal
    microbalance with dissipation monitoring (EQCM−D) was applied to copper electrodeposition
    and subsequent stripping. Accumulation brings the frequency noise down to the
    mHz range, corresponding to 0.1 % of a monolayer. With this precision, the apparent
    mass transfer rate as determined from the time‐derivative of the frequency shift
    can be directly compared to the current. Small but systematic deviations between
    the two can be attributed to nanoscale roughness. In the voltage range of underpotential
    deposition (UPD), the apparent mass transfer rate shows peaks and shoulders. The
    plating additive benzotriazole (BTA) leaves the magnitude of electrogravimetric
    signals unchanged, but shifts the UPD onset potential. The additive thiourea (TU)
    promotes UPD and strongly increases the bandwidth.</jats:p>
author:
- first_name: Christian
  full_name: Leppin, Christian
  id: '117722'
  last_name: Leppin
- first_name: Arne
  full_name: Langhoff, Arne
  last_name: Langhoff
- first_name: Oliver
  full_name: Höfft, Oliver
  last_name: Höfft
- first_name: Diethelm
  full_name: Johannsmann, Diethelm
  last_name: Johannsmann
citation:
  ama: Leppin C, Langhoff A, Höfft O, Johannsmann D. A Modulation QCM Applied to Copper
    Electrodeposition and Stripping. <i>Electroanalysis</i>. 2021;33(12):2529-2538.
    doi:<a href="https://doi.org/10.1002/elan.202100471">10.1002/elan.202100471</a>
  apa: Leppin, C., Langhoff, A., Höfft, O., &#38; Johannsmann, D. (2021). A Modulation
    QCM Applied to Copper Electrodeposition and Stripping. <i>Electroanalysis</i>,
    <i>33</i>(12), 2529–2538. <a href="https://doi.org/10.1002/elan.202100471">https://doi.org/10.1002/elan.202100471</a>
  bibtex: '@article{Leppin_Langhoff_Höfft_Johannsmann_2021, title={A Modulation QCM
    Applied to Copper Electrodeposition and Stripping}, volume={33}, DOI={<a href="https://doi.org/10.1002/elan.202100471">10.1002/elan.202100471</a>},
    number={12}, journal={Electroanalysis}, publisher={Wiley}, author={Leppin, Christian
    and Langhoff, Arne and Höfft, Oliver and Johannsmann, Diethelm}, year={2021},
    pages={2529–2538} }'
  chicago: 'Leppin, Christian, Arne Langhoff, Oliver Höfft, and Diethelm Johannsmann.
    “A Modulation QCM Applied to Copper Electrodeposition and Stripping.” <i>Electroanalysis</i>
    33, no. 12 (2021): 2529–38. <a href="https://doi.org/10.1002/elan.202100471">https://doi.org/10.1002/elan.202100471</a>.'
  ieee: 'C. Leppin, A. Langhoff, O. Höfft, and D. Johannsmann, “A Modulation QCM Applied
    to Copper Electrodeposition and Stripping,” <i>Electroanalysis</i>, vol. 33, no.
    12, pp. 2529–2538, 2021, doi: <a href="https://doi.org/10.1002/elan.202100471">10.1002/elan.202100471</a>.'
  mla: Leppin, Christian, et al. “A Modulation QCM Applied to Copper Electrodeposition
    and Stripping.” <i>Electroanalysis</i>, vol. 33, no. 12, Wiley, 2021, pp. 2529–38,
    doi:<a href="https://doi.org/10.1002/elan.202100471">10.1002/elan.202100471</a>.
  short: C. Leppin, A. Langhoff, O. Höfft, D. Johannsmann, Electroanalysis 33 (2021)
    2529–2538.
date_created: 2025-12-18T17:23:58Z
date_updated: 2025-12-18T17:36:54Z
doi: 10.1002/elan.202100471
extern: '1'
intvolume: '        33'
issue: '12'
language:
- iso: eng
page: 2529-2538
publication: Electroanalysis
publication_identifier:
  issn:
  - 1040-0397
  - 1521-4109
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: A Modulation QCM Applied to Copper Electrodeposition and Stripping
type: journal_article
user_id: '117722'
volume: 33
year: '2021'
...
---
_id: '63237'
abstract:
- lang: eng
  text: <jats:p>Using a fast electrochemical quartz crystal microbalance (EQCM), zwitterionic
    electrolytes were studied with regard to changes of resonance frequency and resonance
    bandwidth after the electrode potential was switched.</jats:p>
author:
- first_name: Christian
  full_name: Leppin, Christian
  id: '117722'
  last_name: Leppin
- first_name: Arne
  full_name: Langhoff, Arne
  last_name: Langhoff
- first_name: Hanna-Friederike
  full_name: Poggemann, Hanna-Friederike
  last_name: Poggemann
- first_name: Alexander Simon
  full_name: Gödde, Alexander Simon
  last_name: Gödde
- first_name: Diethelm
  full_name: Johannsmann, Diethelm
  last_name: Johannsmann
citation:
  ama: 'Leppin C, Langhoff A, Poggemann H-F, Gödde AS, Johannsmann D. Fast and slow
    EQCM response of zwitterionic weak electrolytes to changes in the electrode potential:
    a pH-mediated mechanism. <i>The Analyst</i>. 2021;146(19):6005-6013. doi:<a href="https://doi.org/10.1039/d1an01306h">10.1039/d1an01306h</a>'
  apa: 'Leppin, C., Langhoff, A., Poggemann, H.-F., Gödde, A. S., &#38; Johannsmann,
    D. (2021). Fast and slow EQCM response of zwitterionic weak electrolytes to changes
    in the electrode potential: a pH-mediated mechanism. <i>The Analyst</i>, <i>146</i>(19),
    6005–6013. <a href="https://doi.org/10.1039/d1an01306h">https://doi.org/10.1039/d1an01306h</a>'
  bibtex: '@article{Leppin_Langhoff_Poggemann_Gödde_Johannsmann_2021, title={Fast
    and slow EQCM response of zwitterionic weak electrolytes to changes in the electrode
    potential: a pH-mediated mechanism}, volume={146}, DOI={<a href="https://doi.org/10.1039/d1an01306h">10.1039/d1an01306h</a>},
    number={19}, journal={The Analyst}, publisher={Royal Society of Chemistry (RSC)},
    author={Leppin, Christian and Langhoff, Arne and Poggemann, Hanna-Friederike and
    Gödde, Alexander Simon and Johannsmann, Diethelm}, year={2021}, pages={6005–6013}
    }'
  chicago: 'Leppin, Christian, Arne Langhoff, Hanna-Friederike Poggemann, Alexander
    Simon Gödde, and Diethelm Johannsmann. “Fast and Slow EQCM Response of Zwitterionic
    Weak Electrolytes to Changes in the Electrode Potential: A PH-Mediated Mechanism.”
    <i>The Analyst</i> 146, no. 19 (2021): 6005–13. <a href="https://doi.org/10.1039/d1an01306h">https://doi.org/10.1039/d1an01306h</a>.'
  ieee: 'C. Leppin, A. Langhoff, H.-F. Poggemann, A. S. Gödde, and D. Johannsmann,
    “Fast and slow EQCM response of zwitterionic weak electrolytes to changes in the
    electrode potential: a pH-mediated mechanism,” <i>The Analyst</i>, vol. 146, no.
    19, pp. 6005–6013, 2021, doi: <a href="https://doi.org/10.1039/d1an01306h">10.1039/d1an01306h</a>.'
  mla: 'Leppin, Christian, et al. “Fast and Slow EQCM Response of Zwitterionic Weak
    Electrolytes to Changes in the Electrode Potential: A PH-Mediated Mechanism.”
    <i>The Analyst</i>, vol. 146, no. 19, Royal Society of Chemistry (RSC), 2021,
    pp. 6005–13, doi:<a href="https://doi.org/10.1039/d1an01306h">10.1039/d1an01306h</a>.'
  short: C. Leppin, A. Langhoff, H.-F. Poggemann, A.S. Gödde, D. Johannsmann, The
    Analyst 146 (2021) 6005–6013.
date_created: 2025-12-18T17:26:31Z
date_updated: 2025-12-18T17:35:11Z
doi: 10.1039/d1an01306h
extern: '1'
intvolume: '       146'
issue: '19'
language:
- iso: eng
page: 6005-6013
publication: The Analyst
publication_identifier:
  issn:
  - 0003-2654
  - 1364-5528
publication_status: published
publisher: Royal Society of Chemistry (RSC)
quality_controlled: '1'
status: public
title: 'Fast and slow EQCM response of zwitterionic weak electrolytes to changes in
  the electrode potential: a pH-mediated mechanism'
type: journal_article
user_id: '117722'
volume: 146
year: '2021'
...
---
_id: '63238'
abstract:
- lang: eng
  text: <p>A fast EQCM measures the kinetics of the viscosity changes inside the double
    layer following voltage jumps.</p>
author:
- first_name: Christian
  full_name: Leppin, Christian
  id: '117722'
  last_name: Leppin
- first_name: Astrid
  full_name: Peschel, Astrid
  last_name: Peschel
- first_name: Frederick Sebastian
  full_name: Meyer, Frederick Sebastian
  last_name: Meyer
- first_name: Arne
  full_name: Langhoff, Arne
  last_name: Langhoff
- first_name: Diethelm
  full_name: Johannsmann, Diethelm
  last_name: Johannsmann
citation:
  ama: Leppin C, Peschel A, Meyer FS, Langhoff A, Johannsmann D. Kinetics of viscoelasticity
    in the electric double layer following steps in the electrode potential studied
    by a fast electrochemical quartz crystal microbalance (EQCM). <i>The Analyst</i>.
    2021;146(7):2160-2171. doi:<a href="https://doi.org/10.1039/d0an01965h">10.1039/d0an01965h</a>
  apa: Leppin, C., Peschel, A., Meyer, F. S., Langhoff, A., &#38; Johannsmann, D.
    (2021). Kinetics of viscoelasticity in the electric double layer following steps
    in the electrode potential studied by a fast electrochemical quartz crystal microbalance
    (EQCM). <i>The Analyst</i>, <i>146</i>(7), 2160–2171. <a href="https://doi.org/10.1039/d0an01965h">https://doi.org/10.1039/d0an01965h</a>
  bibtex: '@article{Leppin_Peschel_Meyer_Langhoff_Johannsmann_2021, title={Kinetics
    of viscoelasticity in the electric double layer following steps in the electrode
    potential studied by a fast electrochemical quartz crystal microbalance (EQCM)},
    volume={146}, DOI={<a href="https://doi.org/10.1039/d0an01965h">10.1039/d0an01965h</a>},
    number={7}, journal={The Analyst}, publisher={Royal Society of Chemistry (RSC)},
    author={Leppin, Christian and Peschel, Astrid and Meyer, Frederick Sebastian and
    Langhoff, Arne and Johannsmann, Diethelm}, year={2021}, pages={2160–2171} }'
  chicago: 'Leppin, Christian, Astrid Peschel, Frederick Sebastian Meyer, Arne Langhoff,
    and Diethelm Johannsmann. “Kinetics of Viscoelasticity in the Electric Double
    Layer Following Steps in the Electrode Potential Studied by a Fast Electrochemical
    Quartz Crystal Microbalance (EQCM).” <i>The Analyst</i> 146, no. 7 (2021): 2160–71.
    <a href="https://doi.org/10.1039/d0an01965h">https://doi.org/10.1039/d0an01965h</a>.'
  ieee: 'C. Leppin, A. Peschel, F. S. Meyer, A. Langhoff, and D. Johannsmann, “Kinetics
    of viscoelasticity in the electric double layer following steps in the electrode
    potential studied by a fast electrochemical quartz crystal microbalance (EQCM),”
    <i>The Analyst</i>, vol. 146, no. 7, pp. 2160–2171, 2021, doi: <a href="https://doi.org/10.1039/d0an01965h">10.1039/d0an01965h</a>.'
  mla: Leppin, Christian, et al. “Kinetics of Viscoelasticity in the Electric Double
    Layer Following Steps in the Electrode Potential Studied by a Fast Electrochemical
    Quartz Crystal Microbalance (EQCM).” <i>The Analyst</i>, vol. 146, no. 7, Royal
    Society of Chemistry (RSC), 2021, pp. 2160–71, doi:<a href="https://doi.org/10.1039/d0an01965h">10.1039/d0an01965h</a>.
  short: C. Leppin, A. Peschel, F.S. Meyer, A. Langhoff, D. Johannsmann, The Analyst
    146 (2021) 2160–2171.
date_created: 2025-12-18T17:27:56Z
date_updated: 2025-12-18T17:34:42Z
doi: 10.1039/d0an01965h
extern: '1'
intvolume: '       146'
issue: '7'
language:
- iso: eng
page: 2160-2171
publication: The Analyst
publication_identifier:
  issn:
  - 0003-2654
  - 1364-5528
publication_status: published
publisher: Royal Society of Chemistry (RSC)
quality_controlled: '1'
status: public
title: Kinetics of viscoelasticity in the electric double layer following steps in
  the electrode potential studied by a fast electrochemical quartz crystal microbalance
  (EQCM)
type: journal_article
user_id: '117722'
volume: 146
year: '2021'
...
---
_id: '63313'
article_number: '47'
author:
- first_name: Mengyao
  full_name: Ding, Mengyao
  last_name: Ding
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Ding M, Winkler M. Small-density solutions in Keller–Segel systems involving
    rapidly decaying diffusivities. <i>Nonlinear Differential Equations and Applications
    NoDEA</i>. 2021;28(5). doi:<a href="https://doi.org/10.1007/s00030-021-00709-4">10.1007/s00030-021-00709-4</a>
  apa: Ding, M., &#38; Winkler, M. (2021). Small-density solutions in Keller–Segel
    systems involving rapidly decaying diffusivities. <i>Nonlinear Differential Equations
    and Applications NoDEA</i>, <i>28</i>(5), Article 47. <a href="https://doi.org/10.1007/s00030-021-00709-4">https://doi.org/10.1007/s00030-021-00709-4</a>
  bibtex: '@article{Ding_Winkler_2021, title={Small-density solutions in Keller–Segel
    systems involving rapidly decaying diffusivities}, volume={28}, DOI={<a href="https://doi.org/10.1007/s00030-021-00709-4">10.1007/s00030-021-00709-4</a>},
    number={547}, journal={Nonlinear Differential Equations and Applications NoDEA},
    publisher={Springer Science and Business Media LLC}, author={Ding, Mengyao and
    Winkler, Michael}, year={2021} }'
  chicago: Ding, Mengyao, and Michael Winkler. “Small-Density Solutions in Keller–Segel
    Systems Involving Rapidly Decaying Diffusivities.” <i>Nonlinear Differential Equations
    and Applications NoDEA</i> 28, no. 5 (2021). <a href="https://doi.org/10.1007/s00030-021-00709-4">https://doi.org/10.1007/s00030-021-00709-4</a>.
  ieee: 'M. Ding and M. Winkler, “Small-density solutions in Keller–Segel systems
    involving rapidly decaying diffusivities,” <i>Nonlinear Differential Equations
    and Applications NoDEA</i>, vol. 28, no. 5, Art. no. 47, 2021, doi: <a href="https://doi.org/10.1007/s00030-021-00709-4">10.1007/s00030-021-00709-4</a>.'
  mla: Ding, Mengyao, and Michael Winkler. “Small-Density Solutions in Keller–Segel
    Systems Involving Rapidly Decaying Diffusivities.” <i>Nonlinear Differential Equations
    and Applications NoDEA</i>, vol. 28, no. 5, 47, Springer Science and Business
    Media LLC, 2021, doi:<a href="https://doi.org/10.1007/s00030-021-00709-4">10.1007/s00030-021-00709-4</a>.
  short: M. Ding, M. Winkler, Nonlinear Differential Equations and Applications NoDEA
    28 (2021).
date_created: 2025-12-18T19:30:53Z
date_updated: 2025-12-18T20:05:56Z
doi: 10.1007/s00030-021-00709-4
intvolume: '        28'
issue: '5'
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: Small-density solutions in Keller–Segel systems involving rapidly decaying
  diffusivities
type: journal_article
user_id: '31496'
volume: 28
year: '2021'
...
---
_id: '63308'
article_number: '103407'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: 'Winkler M. Small-signal solutions of a two-dimensional doubly degenerate taxis
    system modeling bacterial motion in nutrient-poor environments. <i>Nonlinear Analysis:
    Real World Applications</i>. 2021;63. doi:<a href="https://doi.org/10.1016/j.nonrwa.2021.103407">10.1016/j.nonrwa.2021.103407</a>'
  apa: 'Winkler, M. (2021). Small-signal solutions of a two-dimensional doubly degenerate
    taxis system modeling bacterial motion in nutrient-poor environments. <i>Nonlinear
    Analysis: Real World Applications</i>, <i>63</i>, Article 103407. <a href="https://doi.org/10.1016/j.nonrwa.2021.103407">https://doi.org/10.1016/j.nonrwa.2021.103407</a>'
  bibtex: '@article{Winkler_2021, title={Small-signal solutions of a two-dimensional
    doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments},
    volume={63}, DOI={<a href="https://doi.org/10.1016/j.nonrwa.2021.103407">10.1016/j.nonrwa.2021.103407</a>},
    number={103407}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier
    BV}, author={Winkler, Michael}, year={2021} }'
  chicago: 'Winkler, Michael. “Small-Signal Solutions of a Two-Dimensional Doubly
    Degenerate Taxis System Modeling Bacterial Motion in Nutrient-Poor Environments.”
    <i>Nonlinear Analysis: Real World Applications</i> 63 (2021). <a href="https://doi.org/10.1016/j.nonrwa.2021.103407">https://doi.org/10.1016/j.nonrwa.2021.103407</a>.'
  ieee: 'M. Winkler, “Small-signal solutions of a two-dimensional doubly degenerate
    taxis system modeling bacterial motion in nutrient-poor environments,” <i>Nonlinear
    Analysis: Real World Applications</i>, vol. 63, Art. no. 103407, 2021, doi: <a
    href="https://doi.org/10.1016/j.nonrwa.2021.103407">10.1016/j.nonrwa.2021.103407</a>.'
  mla: 'Winkler, Michael. “Small-Signal Solutions of a Two-Dimensional Doubly Degenerate
    Taxis System Modeling Bacterial Motion in Nutrient-Poor Environments.” <i>Nonlinear
    Analysis: Real World Applications</i>, vol. 63, 103407, Elsevier BV, 2021, doi:<a
    href="https://doi.org/10.1016/j.nonrwa.2021.103407">10.1016/j.nonrwa.2021.103407</a>.'
  short: 'M. Winkler, Nonlinear Analysis: Real World Applications 63 (2021).'
date_created: 2025-12-18T19:27:47Z
date_updated: 2025-12-18T20:05:10Z
doi: 10.1016/j.nonrwa.2021.103407
intvolume: '        63'
language:
- iso: eng
publication: 'Nonlinear Analysis: Real World Applications'
publication_identifier:
  issn:
  - 1468-1218
publication_status: published
publisher: Elsevier BV
status: public
title: Small-signal solutions of a two-dimensional doubly degenerate taxis system
  modeling bacterial motion in nutrient-poor environments
type: journal_article
user_id: '31496'
volume: 63
year: '2021'
...
---
_id: '63307'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Unlimited growth in logarithmic Keller-Segel systems. <i>Journal
    of Differential Equations</i>. 2021;309:74-97. doi:<a href="https://doi.org/10.1016/j.jde.2021.11.026">10.1016/j.jde.2021.11.026</a>
  apa: Winkler, M. (2021). Unlimited growth in logarithmic Keller-Segel systems. <i>Journal
    of Differential Equations</i>, <i>309</i>, 74–97. <a href="https://doi.org/10.1016/j.jde.2021.11.026">https://doi.org/10.1016/j.jde.2021.11.026</a>
  bibtex: '@article{Winkler_2021, title={Unlimited growth in logarithmic Keller-Segel
    systems}, volume={309}, DOI={<a href="https://doi.org/10.1016/j.jde.2021.11.026">10.1016/j.jde.2021.11.026</a>},
    journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler,
    Michael}, year={2021}, pages={74–97} }'
  chicago: 'Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.”
    <i>Journal of Differential Equations</i> 309 (2021): 74–97. <a href="https://doi.org/10.1016/j.jde.2021.11.026">https://doi.org/10.1016/j.jde.2021.11.026</a>.'
  ieee: 'M. Winkler, “Unlimited growth in logarithmic Keller-Segel systems,” <i>Journal
    of Differential Equations</i>, vol. 309, pp. 74–97, 2021, doi: <a href="https://doi.org/10.1016/j.jde.2021.11.026">10.1016/j.jde.2021.11.026</a>.'
  mla: Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” <i>Journal
    of Differential Equations</i>, vol. 309, Elsevier BV, 2021, pp. 74–97, doi:<a
    href="https://doi.org/10.1016/j.jde.2021.11.026">10.1016/j.jde.2021.11.026</a>.
  short: M. Winkler, Journal of Differential Equations 309 (2021) 74–97.
date_created: 2025-12-18T19:27:16Z
date_updated: 2025-12-18T20:05:02Z
doi: 10.1016/j.jde.2021.11.026
intvolume: '       309'
language:
- iso: eng
page: 74-97
publication: Journal of Differential Equations
publication_identifier:
  issn:
  - 0022-0396
publication_status: published
publisher: Elsevier BV
status: public
title: Unlimited growth in logarithmic Keller-Segel systems
type: journal_article
user_id: '31496'
volume: 309
year: '2021'
...
---
_id: '63316'
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. Taxis-driven Formation of Singular Hotspots in a May--Nowak
    Type Model for Virus Infection. <i>SIAM Journal on Mathematical Analysis</i>.
    2021;53(2):1411-1433. doi:<a href="https://doi.org/10.1137/20m1362851">10.1137/20m1362851</a>
  apa: Tao, Y., &#38; Winkler, M. (2021). Taxis-driven Formation of Singular Hotspots
    in a May--Nowak Type Model for Virus Infection. <i>SIAM Journal on Mathematical
    Analysis</i>, <i>53</i>(2), 1411–1433. <a href="https://doi.org/10.1137/20m1362851">https://doi.org/10.1137/20m1362851</a>
  bibtex: '@article{Tao_Winkler_2021, title={Taxis-driven Formation of Singular Hotspots
    in a May--Nowak Type Model for Virus Infection}, volume={53}, DOI={<a href="https://doi.org/10.1137/20m1362851">10.1137/20m1362851</a>},
    number={2}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society
    for Industrial &#38; Applied Mathematics (SIAM)}, author={Tao, Youshan and Winkler,
    Michael}, year={2021}, pages={1411–1433} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “Taxis-Driven Formation of Singular
    Hotspots in a May--Nowak Type Model for Virus Infection.” <i>SIAM Journal on Mathematical
    Analysis</i> 53, no. 2 (2021): 1411–33. <a href="https://doi.org/10.1137/20m1362851">https://doi.org/10.1137/20m1362851</a>.'
  ieee: 'Y. Tao and M. Winkler, “Taxis-driven Formation of Singular Hotspots in a
    May--Nowak Type Model for Virus Infection,” <i>SIAM Journal on Mathematical Analysis</i>,
    vol. 53, no. 2, pp. 1411–1433, 2021, doi: <a href="https://doi.org/10.1137/20m1362851">10.1137/20m1362851</a>.'
  mla: Tao, Youshan, and Michael Winkler. “Taxis-Driven Formation of Singular Hotspots
    in a May--Nowak Type Model for Virus Infection.” <i>SIAM Journal on Mathematical
    Analysis</i>, vol. 53, no. 2, Society for Industrial &#38; Applied Mathematics
    (SIAM), 2021, pp. 1411–33, doi:<a href="https://doi.org/10.1137/20m1362851">10.1137/20m1362851</a>.
  short: Y. Tao, M. Winkler, SIAM Journal on Mathematical Analysis 53 (2021) 1411–1433.
date_created: 2025-12-18T19:32:18Z
date_updated: 2025-12-18T20:06:20Z
doi: 10.1137/20m1362851
intvolume: '        53'
issue: '2'
language:
- iso: eng
page: 1411-1433
publication: SIAM Journal on Mathematical Analysis
publication_identifier:
  issn:
  - 0036-1410
  - 1095-7154
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
status: public
title: Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for
  Virus Infection
type: journal_article
user_id: '31496'
volume: 53
year: '2021'
...
---
_id: '63319'
article_number: '112324'
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. The dampening role of large repulsive convection in a chemotaxis
    system modeling tumor angiogenesis. <i>Nonlinear Analysis</i>. 2021;208. doi:<a
    href="https://doi.org/10.1016/j.na.2021.112324">10.1016/j.na.2021.112324</a>
  apa: Tao, Y., &#38; Winkler, M. (2021). The dampening role of large repulsive convection
    in a chemotaxis system modeling tumor angiogenesis. <i>Nonlinear Analysis</i>,
    <i>208</i>, Article 112324. <a href="https://doi.org/10.1016/j.na.2021.112324">https://doi.org/10.1016/j.na.2021.112324</a>
  bibtex: '@article{Tao_Winkler_2021, title={The dampening role of large repulsive
    convection in a chemotaxis system modeling tumor angiogenesis}, volume={208},
    DOI={<a href="https://doi.org/10.1016/j.na.2021.112324">10.1016/j.na.2021.112324</a>},
    number={112324}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Tao,
    Youshan and Winkler, Michael}, year={2021} }'
  chicago: Tao, Youshan, and Michael Winkler. “The Dampening Role of Large Repulsive
    Convection in a Chemotaxis System Modeling Tumor Angiogenesis.” <i>Nonlinear Analysis</i>
    208 (2021). <a href="https://doi.org/10.1016/j.na.2021.112324">https://doi.org/10.1016/j.na.2021.112324</a>.
  ieee: 'Y. Tao and M. Winkler, “The dampening role of large repulsive convection
    in a chemotaxis system modeling tumor angiogenesis,” <i>Nonlinear Analysis</i>,
    vol. 208, Art. no. 112324, 2021, doi: <a href="https://doi.org/10.1016/j.na.2021.112324">10.1016/j.na.2021.112324</a>.'
  mla: Tao, Youshan, and Michael Winkler. “The Dampening Role of Large Repulsive Convection
    in a Chemotaxis System Modeling Tumor Angiogenesis.” <i>Nonlinear Analysis</i>,
    vol. 208, 112324, Elsevier BV, 2021, doi:<a href="https://doi.org/10.1016/j.na.2021.112324">10.1016/j.na.2021.112324</a>.
  short: Y. Tao, M. Winkler, Nonlinear Analysis 208 (2021).
date_created: 2025-12-18T19:33:25Z
date_updated: 2025-12-18T20:06:43Z
doi: 10.1016/j.na.2021.112324
intvolume: '       208'
language:
- iso: eng
publication: Nonlinear Analysis
publication_identifier:
  issn:
  - 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: The dampening role of large repulsive convection in a chemotaxis system modeling
  tumor angiogenesis
type: journal_article
user_id: '31496'
volume: 208
year: '2021'
...
---
_id: '63291'
abstract:
- lang: eng
  text: <jats:p> An initial-boundary value problem for a coupled chemotaxis-Navier–Stokes
    model with porous medium type diffusion is considered. Previous related literature
    has provided profound knowledge in cases when the system is augmented with no-flux/no-flux/no-slip
    boundary conditions for the density of cells, the chemical concentration and the
    fluid velocity field, respectively; in particular, available qualitative results
    strongly indicate that only trivial solution behavior can be expected on large
    time scales. In line with refined modeling approaches to oxygen evolution near
    fluid-air interfaces, this study now focuses on situations involving a fixed chemoattractant
    concentration on the boundary. Despite an apparent loss of mathematically favorable
    energy structures thereby induced, by means of an alternative variational approach
    a basic theory of global existence is developed in a natural framework of weak
    solvability. Beyond this, some additional qualitative information on the large
    time behavior of these solutions is derived by identifying a certain global relaxation
    property. Specifically, a second result asserts, within a suitable topological
    setting, the existence of a bounded set which eventually absorbs each individual
    of the obtained trajectories, and the diameter of which is bounded only by the
    physically relevant quantities of total population size and prescribed boundary
    concentration of the chemical signal. </jats:p>
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Black T, Winkler M. Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes
    system with prescribed signal concentration on the boundary. <i>Mathematical Models
    and Methods in Applied Sciences</i>. 2021;32(01):137-173. doi:<a href="https://doi.org/10.1142/s021820252250004x">10.1142/s021820252250004x</a>
  apa: Black, T., &#38; Winkler, M. (2021). Global weak solutions and absorbing sets
    in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the
    boundary. <i>Mathematical Models and Methods in Applied Sciences</i>, <i>32</i>(01),
    137–173. <a href="https://doi.org/10.1142/s021820252250004x">https://doi.org/10.1142/s021820252250004x</a>
  bibtex: '@article{Black_Winkler_2021, title={Global weak solutions and absorbing
    sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration
    on the boundary}, volume={32}, DOI={<a href="https://doi.org/10.1142/s021820252250004x">10.1142/s021820252250004x</a>},
    number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World
    Scientific Pub Co Pte Ltd}, author={Black, Tobias and Winkler, Michael}, year={2021},
    pages={137–173} }'
  chicago: 'Black, Tobias, and Michael Winkler. “Global Weak Solutions and Absorbing
    Sets in a Chemotaxis-Navier–Stokes System with Prescribed Signal Concentration
    on the Boundary.” <i>Mathematical Models and Methods in Applied Sciences</i> 32,
    no. 01 (2021): 137–73. <a href="https://doi.org/10.1142/s021820252250004x">https://doi.org/10.1142/s021820252250004x</a>.'
  ieee: 'T. Black and M. Winkler, “Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes
    system with prescribed signal concentration on the boundary,” <i>Mathematical
    Models and Methods in Applied Sciences</i>, vol. 32, no. 01, pp. 137–173, 2021,
    doi: <a href="https://doi.org/10.1142/s021820252250004x">10.1142/s021820252250004x</a>.'
  mla: Black, Tobias, and Michael Winkler. “Global Weak Solutions and Absorbing Sets
    in a Chemotaxis-Navier–Stokes System with Prescribed Signal Concentration on the
    Boundary.” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 32,
    no. 01, World Scientific Pub Co Pte Ltd, 2021, pp. 137–73, doi:<a href="https://doi.org/10.1142/s021820252250004x">10.1142/s021820252250004x</a>.
  short: T. Black, M. Winkler, Mathematical Models and Methods in Applied Sciences
    32 (2021) 137–173.
date_created: 2025-12-18T19:20:48Z
date_updated: 2025-12-18T20:08:01Z
doi: 10.1142/s021820252250004x
intvolume: '        32'
issue: '01'
language:
- iso: eng
page: 137-173
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 weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system
  with prescribed signal concentration on the boundary
type: journal_article
user_id: '31496'
volume: 32
year: '2021'
...
---
_id: '63297'
abstract:
- lang: eng
  text: "<jats:p>We consider the no-flux initial-boundary value problem for the cross-diffusive
    evolution system:<jats:disp-formula><jats:alternatives><jats:graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    mime-subtype=\"png\" mimetype=\"image\" xlink:href=\"S0956792521000279_eqnU1.png\"/><jats:tex-math>\r\n\\begin{eqnarray*}
    \       \\left\\{ \\begin{array}{ll}        u_t = u_{xx} - \\chi \\big(\\frac{u}{v}
    \\partial_x v \\big)_x - uv +B_1(x,t),        \\qquad &amp; x\\in \\Omega, \\
    t&gt;0, \\\\[1mm]        v_t = v_{xx} +uv - v + B_2(x,t),        \\qquad &amp;
    x\\in \\Omega, \\ t&gt;0,        \\end{array} \\right.  \\end{eqnarray*}\r\n</jats:tex-math></jats:alternatives></jats:disp-formula>which
    was introduced by Short <jats:italic>et al.</jats:italic> in [40] with <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline1.png\"/><jats:tex-math>\r\n$\\chi=2$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>
    to describe the dynamics of urban crime.</jats:p><jats:p>In bounded intervals
    <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline2.png\"/><jats:tex-math>\r\n$\\Omega\\subset\\mathbb{R}$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>
    and with prescribed suitably regular non-negative functions <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline3.png\"/><jats:tex-math>\r\n$B_1$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>
    and <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline4.png\"/><jats:tex-math>\r\n$B_2$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>,
    we first prove the existence of global classical solutions for any choice of <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline5.png\"/><jats:tex-math>\r\n$\\chi&gt;0$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>
    and all reasonably regular non-negative initial data.</jats:p><jats:p>We next
    address the issue of determining the qualitative behaviour of solutions under
    appropriate assumptions on the asymptotic properties of <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline6.png\"/><jats:tex-math>\r\n$B_1$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>
    and <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline7.png\"/><jats:tex-math>\r\n$B_2$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>.
    Indeed, for arbitrary <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline8.png\"/><jats:tex-math>\r\n$\\chi&gt;0$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>,
    we obtain boundedness of the solutions given strict positivity of the average
    of <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline9.png\"/><jats:tex-math>\r\n$B_2$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>
    over the domain; moreover, it is seen that imposing a mild decay assumption on
    <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline10.png\"/><jats:tex-math>\r\n$B_1$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>
    implies that <jats:italic>u</jats:italic> must decay to zero in the long-term
    limit. Our final result, valid for all <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline11.png\"/><jats:tex-math>\r\n$\\chi\\in\\left(0,\\frac{\\sqrt{6\\sqrt{3}+9}}{2}\\right),$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>
    which contains the relevant value <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline12.png\"/><jats:tex-math>\r\n$\\chi=2$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>,
    states that under the above decay assumption on <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline13.png\"/><jats:tex-math>\r\n$B_1$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>,
    if furthermore <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline14.png\"/><jats:tex-math>\r\n$B_2$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>
    appropriately stabilises to a non-trivial function <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline15.png\"/><jats:tex-math>\r\n$B_{2,\\infty}$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>,
    then (<jats:italic>u</jats:italic>,<jats:italic>v</jats:italic>) approaches the
    limit <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline16.png\"/><jats:tex-math>\r\n$(0,v_\\infty)$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>,
    where <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline17.png\"/><jats:tex-math>\r\n$v_\\infty$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>
    denotes the solution of <jats:disp-formula><jats:alternatives><jats:graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    mime-subtype=\"png\" mimetype=\"image\" xlink:href=\"S0956792521000279_eqnU2.png\"/><jats:tex-math>\r\n\\begin{eqnarray*}
    \       \\left\\{ \\begin{array}{l}        -\\partial_{xx}v_\\infty + v_\\infty
    = B_{2,\\infty},        \\qquad x\\in \\Omega, \\\\[1mm]        \\partial_x v_{\\infty}=0,
    \       \\qquad x\\in\\partial\\Omega.        \\end{array} \\right.  \\end{eqnarray*}\r\n</jats:tex-math></jats:alternatives></jats:disp-formula>We
    conclude with some numerical simulations exploring possible effects that may arise
    when considering large values of <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline18.png\"/><jats:tex-math>\r\n$\\chi$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>
    not covered by our qualitative analysis. We observe that when <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0956792521000279_inline19.png\"/><jats:tex-math>\r\n$\\chi$\r\n</jats:tex-math></jats:alternatives></jats:inline-formula>
    increases, solutions may grow substantially on short time intervals, whereas only
    on large timescales diffusion will dominate and enforce equilibration.</jats:p>"
author:
- first_name: NANCY
  full_name: RODRIGUEZ, NANCY
  last_name: RODRIGUEZ
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: RODRIGUEZ N, Winkler M. On the global existence and qualitative behaviour of
    one-dimensional solutions to a model for urban crime. <i>European Journal of Applied
    Mathematics</i>. 2021;33(5):919-959. doi:<a href="https://doi.org/10.1017/s0956792521000279">10.1017/s0956792521000279</a>
  apa: RODRIGUEZ, N., &#38; Winkler, M. (2021). On the global existence and qualitative
    behaviour of one-dimensional solutions to a model for urban crime. <i>European
    Journal of Applied Mathematics</i>, <i>33</i>(5), 919–959. <a href="https://doi.org/10.1017/s0956792521000279">https://doi.org/10.1017/s0956792521000279</a>
  bibtex: '@article{RODRIGUEZ_Winkler_2021, title={On the global existence and qualitative
    behaviour of one-dimensional solutions to a model for urban crime}, volume={33},
    DOI={<a href="https://doi.org/10.1017/s0956792521000279">10.1017/s0956792521000279</a>},
    number={5}, journal={European Journal of Applied Mathematics}, publisher={Cambridge
    University Press (CUP)}, author={RODRIGUEZ, NANCY and Winkler, Michael}, year={2021},
    pages={919–959} }'
  chicago: 'RODRIGUEZ, NANCY, and Michael Winkler. “On the Global Existence and Qualitative
    Behaviour of One-Dimensional Solutions to a Model for Urban Crime.” <i>European
    Journal of Applied Mathematics</i> 33, no. 5 (2021): 919–59. <a href="https://doi.org/10.1017/s0956792521000279">https://doi.org/10.1017/s0956792521000279</a>.'
  ieee: 'N. RODRIGUEZ and M. Winkler, “On the global existence and qualitative behaviour
    of one-dimensional solutions to a model for urban crime,” <i>European Journal
    of Applied Mathematics</i>, vol. 33, no. 5, pp. 919–959, 2021, doi: <a href="https://doi.org/10.1017/s0956792521000279">10.1017/s0956792521000279</a>.'
  mla: RODRIGUEZ, NANCY, and Michael Winkler. “On the Global Existence and Qualitative
    Behaviour of One-Dimensional Solutions to a Model for Urban Crime.” <i>European
    Journal of Applied Mathematics</i>, vol. 33, no. 5, Cambridge University Press
    (CUP), 2021, pp. 919–59, doi:<a href="https://doi.org/10.1017/s0956792521000279">10.1017/s0956792521000279</a>.
  short: N. RODRIGUEZ, M. Winkler, European Journal of Applied Mathematics 33 (2021)
    919–959.
date_created: 2025-12-18T19:23:28Z
date_updated: 2025-12-18T20:08:49Z
doi: 10.1017/s0956792521000279
intvolume: '        33'
issue: '5'
language:
- iso: eng
page: 919-959
publication: European Journal of Applied Mathematics
publication_identifier:
  issn:
  - 0956-7925
  - 1469-4425
publication_status: published
publisher: Cambridge University Press (CUP)
status: public
title: On the global existence and qualitative behaviour of one-dimensional solutions
  to a model for urban crime
type: journal_article
user_id: '31496'
volume: 33
year: '2021'
...
---
_id: '53333'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. $L^1$ solutions to parabolic Keller-Segel systems involving arbitrary
    superlinear degradation. <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>.
    Published online 2021:141-172. doi:<a href="https://doi.org/10.2422/2036-2145.202005_016">10.2422/2036-2145.202005_016</a>
  apa: Winkler, M. (2021). $L^1$ solutions to parabolic Keller-Segel systems involving
    arbitrary superlinear degradation. <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE
    DI SCIENZE</i>, 141–172. <a href="https://doi.org/10.2422/2036-2145.202005_016">https://doi.org/10.2422/2036-2145.202005_016</a>
  bibtex: '@article{Winkler_2021, title={$L^1$ solutions to parabolic Keller-Segel
    systems involving arbitrary superlinear degradation}, DOI={<a href="https://doi.org/10.2422/2036-2145.202005_016">10.2422/2036-2145.202005_016</a>},
    journal={ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE}, publisher={Scuola
    Normale Superiore - Edizioni della Normale}, author={Winkler, Michael}, year={2021},
    pages={141–172} }'
  chicago: Winkler, Michael. “$L^1$ Solutions to Parabolic Keller-Segel Systems Involving
    Arbitrary Superlinear Degradation.” <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE
    DI SCIENZE</i>, 2021, 141–72. <a href="https://doi.org/10.2422/2036-2145.202005_016">https://doi.org/10.2422/2036-2145.202005_016</a>.
  ieee: 'M. Winkler, “$L^1$ solutions to parabolic Keller-Segel systems involving
    arbitrary superlinear degradation,” <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE
    DI SCIENZE</i>, pp. 141–172, 2021, doi: <a href="https://doi.org/10.2422/2036-2145.202005_016">10.2422/2036-2145.202005_016</a>.'
  mla: Winkler, Michael. “$L^1$ Solutions to Parabolic Keller-Segel Systems Involving
    Arbitrary Superlinear Degradation.” <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE
    DI SCIENZE</i>, Scuola Normale Superiore - Edizioni della Normale, 2021, pp. 141–72,
    doi:<a href="https://doi.org/10.2422/2036-2145.202005_016">10.2422/2036-2145.202005_016</a>.
  short: M. Winkler, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2021) 141–172.
date_created: 2024-04-07T12:45:49Z
date_updated: 2025-12-18T20:15:27Z
doi: 10.2422/2036-2145.202005_016
keyword:
- Mathematics (miscellaneous)
- Theoretical Computer Science
language:
- iso: eng
page: 141-172
publication: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
publication_identifier:
  issn:
  - 2036-2145
  - 0391-173X
publication_status: published
publisher: Scuola Normale Superiore - Edizioni della Normale
status: public
title: $L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear
  degradation
type: journal_article
user_id: '31496'
year: '2021'
...
---
_id: '63373'
article_number: 421-466
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. Global classical solutions in a two-dimensional
    chemotaxis-Navier-Stokes system with subcritical sensitivity. <i>ANNALI SCUOLA
    NORMALE SUPERIORE - CLASSE DI SCIENZE</i>. Published online 2021. doi:<a href="https://doi.org/10.2422/2036-2145.201603_004">10.2422/2036-2145.201603_004</a>
  apa: Wang, Y., Winkler, M., &#38; Xiang, Z. (2021). Global classical solutions in
    a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity.
    <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, Article 421–466. <a
    href="https://doi.org/10.2422/2036-2145.201603_004">https://doi.org/10.2422/2036-2145.201603_004</a>
  bibtex: '@article{Wang_Winkler_Xiang_2021, title={Global classical solutions in
    a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity},
    DOI={<a href="https://doi.org/10.2422/2036-2145.201603_004">10.2422/2036-2145.201603_004</a>},
    number={421–466}, journal={ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE},
    publisher={Scuola Normale Superiore - Edizioni della Normale}, author={Wang, Yulan
    and Winkler, Michael and Xiang, Zhaoyin}, year={2021} }'
  chicago: Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Classical Solutions
    in a Two-Dimensional Chemotaxis-Navier-Stokes System with Subcritical Sensitivity.”
    <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, 2021. <a href="https://doi.org/10.2422/2036-2145.201603_004">https://doi.org/10.2422/2036-2145.201603_004</a>.
  ieee: 'Y. Wang, M. Winkler, and Z. Xiang, “Global classical solutions in a two-dimensional
    chemotaxis-Navier-Stokes system with subcritical sensitivity,” <i>ANNALI SCUOLA
    NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, Art. no. 421–466, 2021, doi: <a href="https://doi.org/10.2422/2036-2145.201603_004">10.2422/2036-2145.201603_004</a>.'
  mla: Wang, Yulan, et al. “Global Classical Solutions in a Two-Dimensional Chemotaxis-Navier-Stokes
    System with Subcritical Sensitivity.” <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE
    DI SCIENZE</i>, 421–466, Scuola Normale Superiore - Edizioni della Normale, 2021,
    doi:<a href="https://doi.org/10.2422/2036-2145.201603_004">10.2422/2036-2145.201603_004</a>.
  short: Y. Wang, M. Winkler, Z. Xiang, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI
    SCIENZE (2021).
date_created: 2025-12-19T11:05:07Z
date_updated: 2025-12-19T11:05:13Z
doi: 10.2422/2036-2145.201603_004
language:
- iso: eng
publication: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
publication_identifier:
  issn:
  - 2036-2145
  - 0391-173X
publication_status: published
publisher: Scuola Normale Superiore - Edizioni della Normale
status: public
title: Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system
  with subcritical sensitivity
type: journal_article
user_id: '31496'
year: '2021'
...
---
_id: '6563'
abstract:
- lang: ger
  text: Designprozesse von Schallwandlern werden durch zunehmende Rechenkapazitäten
    immer mehr durch simulative Betrachtungen unterstützt. Dabei ist vor allem die
    Wahl der Materialparameter der verwendeten Materialien wichtig für ein realitätsnahes
    Simulationsergebnis. Bei Schallwandlern werden häufig Piezokeramiken als aktive
    Elemente genutzt, welche sich durch eine Verkopplung mechanischer und elektrischer
    Eigenschaften auszeichnen. Zur Bestimmung ihrer Materialparameter stellt der IEEE
    Standard on Piezoelectricity ein standardisiertes Verfahren dar. Dazu sind fünf
    Impedanzmessungen an vier unterschiedlich gefertigten Probekörpergeometrien notwendig.
    Da an jedem einzelnen Probekörper nur eine Untermenge aller notwendigen Materialparameter
    bestimmt werden kann, werden diese dann zu einem kompletten Materialparametersatz
    zusammengefügt. Aufgrund der unterschiedlichen Prozessbedingungen, bei denen die
    jeweiligen Probekörper hergestellt werden, ist dieser Materialparametersatz jedoch
    inkonsistent und kann nie das Verhalten einer einzelnen Probe beschreiben. Daher
    wird in der vorliegenden Arbeit ein Messverfahren entwickelt, mit dem es möglich
    ist, alle relevanten Materialparameter unter besonderer Berücksichtigung von Dämpfung
    an einem einzelnen Probekörper allein durch Impedanzmessungen zu bestimmen. Als
    Probekörper wird dazu eine in der Anwendung häufig verwendete Scheibengeometrie
    verwendet. Um eine hinreichend hohe Sensitivität auf alle Materialparameter zu
    gewährleisten, wird diese mit einer optimierten Elektrodentopologie gefertigt.
    Da in diesem Fall keine analytische Betrachtung mehr möglich ist, wird das Messverfahren
    durch einen inversen Ansatz realisiert.
- lang: eng
  text: Design processes of ultrasonic transducers become increasingly simulation-driven
    due to rising computational capabilities. Therewithin, the choice of the material
    parameters for modelling the materials used is particularly important for a realistic
    simulation result. Piezoceramics, which couple mechanic and electrical properties,
    are often used as active elements in ultrasonic transducers.The IEEE Standard
    on Piezoelectricity is a standardised procedure for determining these parameters
    that requires five impedance measurements on four piezocermics of different geometry.
    Since only a subset of all necessary material parameters can be determined for
    each individual specimen, these are then combined to form a complete set of material
    parameters. Due to different processing conditions for each specimen, this set
    of material parameters is inconsistent and cannot describe the behaviour of a
    single specimen appropriately. Therefore, in the present thesis, a method is developed
    with enables the determination of all relevant material parameters including damping
    on a single piezocermic by means of electrical impedance measurements alone. A
    piezoelectric ceramic with disc-shaped geometry, which is frequently used in applications,
    is used as a specimen.In order to ensure a sufficiently high sensitivity to all
    material parameters, it is manufactured with an optimised electrode topology.
    Because in this case analytical solutions, which relate the measurement quantities
    to the material parameters, do not exist, the measurement method is implemented
    using an inverse approach.
author:
- first_name: Nadine
  full_name: Feldmann, Nadine
  id: '23082'
  last_name: Feldmann
citation:
  ama: Feldmann N. <i>  Ein modellbasiertes Messverfahren zur Charakterisierung von
    Piezokeramiken unter Verwendung eines einzelnen scheibenförmigen Probekörpers</i>.
    Universität Paderborn; 2021. doi:<a href="https://doi.org/10.17619/UNIPB/1-1264">10.17619/UNIPB/1-1264</a>
  apa: Feldmann, N. (2021). <i>  Ein modellbasiertes Messverfahren zur Charakterisierung
    von Piezokeramiken unter Verwendung eines einzelnen scheibenförmigen Probekörpers</i>.
    Universität Paderborn. <a href="https://doi.org/10.17619/UNIPB/1-1264">https://doi.org/10.17619/UNIPB/1-1264</a>
  bibtex: '@book{Feldmann_2021, title={  Ein modellbasiertes Messverfahren zur Charakterisierung
    von Piezokeramiken unter Verwendung eines einzelnen scheibenförmigen Probekörpers},
    DOI={<a href="https://doi.org/10.17619/UNIPB/1-1264">10.17619/UNIPB/1-1264</a>},
    publisher={Universität Paderborn}, author={Feldmann, Nadine}, year={2021} }'
  chicago: Feldmann, Nadine. <i>  Ein modellbasiertes Messverfahren zur Charakterisierung
    von Piezokeramiken unter Verwendung eines einzelnen scheibenförmigen Probekörpers</i>.
    Universität Paderborn, 2021. <a href="https://doi.org/10.17619/UNIPB/1-1264">https://doi.org/10.17619/UNIPB/1-1264</a>.
  ieee: N. Feldmann, <i>  Ein modellbasiertes Messverfahren zur Charakterisierung
    von Piezokeramiken unter Verwendung eines einzelnen scheibenförmigen Probekörpers</i>.
    Universität Paderborn, 2021.
  mla: Feldmann, Nadine. <i>  Ein modellbasiertes Messverfahren zur Charakterisierung
    von Piezokeramiken unter Verwendung eines einzelnen scheibenförmigen Probekörpers</i>.
    Universität Paderborn, 2021, doi:<a href="https://doi.org/10.17619/UNIPB/1-1264">10.17619/UNIPB/1-1264</a>.
  short: N. Feldmann,   Ein modellbasiertes Messverfahren zur Charakterisierung von
    Piezokeramiken unter Verwendung eines einzelnen scheibenförmigen Probekörpers,
    Universität Paderborn, 2021.
date_created: 2019-01-09T14:37:11Z
date_updated: 2026-01-05T07:55:46Z
department:
- _id: '49'
doi: 10.17619/UNIPB/1-1264
language:
- iso: ger
main_file_link:
- open_access: '1'
  url: https://digital.ub.uni-paderborn.de/urn/urn:nbn:de:hbz:466:2-40232
oa: '1'
page: '184'
project:
- _id: '90'
  name: 'ChaMP: 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: Universität Paderborn
status: public
supervisor:
- first_name: Bernd
  full_name: Henning, Bernd
  id: '213'
  last_name: Henning
- first_name: Andrea
  full_name: Walther, Andrea
  last_name: Walther
title: "\t Ein modellbasiertes Messverfahren zur Charakterisierung von Piezokeramiken
  unter Verwendung eines einzelnen scheibenförmigen Probekörpers"
type: dissertation
user_id: '11829'
year: '2021'
...
---
_id: '21341'
abstract:
- lang: eng
  text: The progress in numerical methods and simulation tools promotes the use of
    inverse problems in material characterisation problems. A newly developed procedure
    can be used to identify the behaviour of piezoceramic discs over a wide frequency
    range using a single specimen via fitting simulated and measured impedances by
    optimising the underlying material parameters. Since there is no generally accepted
    damping model for piezoelectric ceramics, several mechanical damping models are
    examined for the material identification. Three models have been chosen and their
    ability to replicate the measured impedances is evaluated. On the one hand, the
    common Rayleigh model is considered as a reference. On the other hand, a Zener
    model and a model using complex constants are extended to model the transversely
    isotropic material. As the Rayleigh model is only valid for a limited frequency
    range, it fails to model the broadband behaviour of the material. The model using
    complex constants leads to the best fit over a wide frequency range while at the
    same time only adding three additional parameters for modelling damping. Thus,
    damping can be assumed approximately frequency-independent in piezoceramics.
author:
- first_name: Nadine
  full_name: Feldmann, Nadine
  id: '23082'
  last_name: Feldmann
- first_name: Veronika
  full_name: Schulze, Veronika
  last_name: Schulze
- first_name: Leander
  full_name: Claes, Leander
  id: '11829'
  last_name: Claes
  orcid: 0000-0002-4393-268X
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
- first_name: Lars
  full_name: Meihost, Lars
  id: '24769'
  last_name: Meihost
- first_name: Andrea
  full_name: Walther, Andrea
  last_name: Walther
- first_name: Bernd
  full_name: Henning, Bernd
  id: '213'
  last_name: Henning
citation:
  ama: 'Feldmann N, Schulze V, Claes L, et al. Modelling damping in piezoceramics:
    A comparative study. <i>tm - Technisches Messen</i>. 2021;88(5):294-302. doi:<a
    href="https://doi.org/10.1515/teme-2020-0096">10.1515/teme-2020-0096</a>'
  apa: 'Feldmann, N., Schulze, V., Claes, L., Jurgelucks, B., Meihost, L., Walther,
    A., &#38; Henning, B. (2021). Modelling damping in piezoceramics: A comparative
    study. <i>Tm - Technisches Messen</i>, <i>88</i>(5), 294–302. <a href="https://doi.org/10.1515/teme-2020-0096">https://doi.org/10.1515/teme-2020-0096</a>'
  bibtex: '@article{Feldmann_Schulze_Claes_Jurgelucks_Meihost_Walther_Henning_2021,
    title={Modelling damping in piezoceramics: A comparative study}, volume={88},
    DOI={<a href="https://doi.org/10.1515/teme-2020-0096">10.1515/teme-2020-0096</a>},
    number={5}, journal={tm - Technisches Messen}, author={Feldmann, Nadine and Schulze,
    Veronika and Claes, Leander and Jurgelucks, Benjamin and Meihost, Lars and Walther,
    Andrea and Henning, Bernd}, year={2021}, pages={294–302} }'
  chicago: 'Feldmann, Nadine, Veronika Schulze, Leander Claes, Benjamin Jurgelucks,
    Lars Meihost, Andrea Walther, and Bernd Henning. “Modelling Damping in Piezoceramics:
    A Comparative Study.” <i>Tm - Technisches Messen</i> 88, no. 5 (2021): 294–302.
    <a href="https://doi.org/10.1515/teme-2020-0096">https://doi.org/10.1515/teme-2020-0096</a>.'
  ieee: 'N. Feldmann <i>et al.</i>, “Modelling damping in piezoceramics: A comparative
    study,” <i>tm - Technisches Messen</i>, vol. 88, no. 5, pp. 294–302, 2021, doi:
    <a href="https://doi.org/10.1515/teme-2020-0096">10.1515/teme-2020-0096</a>.'
  mla: 'Feldmann, Nadine, et al. “Modelling Damping in Piezoceramics: A Comparative
    Study.” <i>Tm - Technisches Messen</i>, vol. 88, no. 5, 2021, pp. 294–302, doi:<a
    href="https://doi.org/10.1515/teme-2020-0096">10.1515/teme-2020-0096</a>.'
  short: N. Feldmann, V. Schulze, L. Claes, B. Jurgelucks, L. Meihost, A. Walther,
    B. Henning, Tm - Technisches Messen 88 (2021) 294–302.
date_created: 2021-03-01T14:49:51Z
date_updated: 2026-01-05T07:54:13Z
department:
- _id: '49'
doi: 10.1515/teme-2020-0096
intvolume: '        88'
issue: '5'
language:
- iso: eng
page: 294 - 302
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)'
publication: tm - Technisches Messen
publication_identifier:
  issn:
  - 2196-7113
  - 0171-8096
publication_status: published
quality_controlled: '1'
status: public
title: 'Modelling damping in piezoceramics: A comparative study'
type: journal_article
user_id: '11829'
volume: 88
year: '2021'
...
---
_id: '22012'
author:
- first_name: Leander
  full_name: Claes, Leander
  id: '11829'
  last_name: Claes
  orcid: 0000-0002-4393-268X
- first_name: Nadine
  full_name: Feldmann, Nadine
  id: '23082'
  last_name: Feldmann
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
- first_name: Veronika
  full_name: Schulze, Veronika
  last_name: Schulze
- first_name: Stephan
  full_name: Schmidt, Stephan
  last_name: Schmidt
- first_name: Andrea
  full_name: Walther, Andrea
  last_name: Walther
- first_name: Bernd
  full_name: Henning, Bernd
  id: '213'
  last_name: Henning
citation:
  ama: 'Claes L, Feldmann N, Jurgelucks B, et al. Optimised Multi-Electrode Topology
    for Piezoelectric Material Characterisation. In: ; 2021:237-238. doi:<a href="https://doi.org/10.5162/SMSI2021/A10.1">10.5162/SMSI2021/A10.1</a>'
  apa: Claes, L., Feldmann, N., Jurgelucks, B., Schulze, V., Schmidt, S., Walther,
    A., &#38; Henning, B. (2021). <i>Optimised Multi-Electrode Topology for Piezoelectric
    Material Characterisation</i>. 237–238. <a href="https://doi.org/10.5162/SMSI2021/A10.1">https://doi.org/10.5162/SMSI2021/A10.1</a>
  bibtex: '@inproceedings{Claes_Feldmann_Jurgelucks_Schulze_Schmidt_Walther_Henning_2021,
    title={Optimised Multi-Electrode Topology for Piezoelectric Material Characterisation},
    DOI={<a href="https://doi.org/10.5162/SMSI2021/A10.1">10.5162/SMSI2021/A10.1</a>},
    author={Claes, Leander and Feldmann, Nadine and Jurgelucks, Benjamin and Schulze,
    Veronika and Schmidt, Stephan and Walther, Andrea and Henning, Bernd}, year={2021},
    pages={237–238} }'
  chicago: Claes, Leander, Nadine Feldmann, Benjamin Jurgelucks, Veronika Schulze,
    Stephan Schmidt, Andrea Walther, and Bernd Henning. “Optimised Multi-Electrode
    Topology for Piezoelectric Material Characterisation,” 237–38, 2021. <a href="https://doi.org/10.5162/SMSI2021/A10.1">https://doi.org/10.5162/SMSI2021/A10.1</a>.
  ieee: 'L. Claes <i>et al.</i>, “Optimised Multi-Electrode Topology for Piezoelectric
    Material Characterisation,” Nürnberg, 2021, pp. 237–238, doi: <a href="https://doi.org/10.5162/SMSI2021/A10.1">10.5162/SMSI2021/A10.1</a>.'
  mla: Claes, Leander, et al. <i>Optimised Multi-Electrode Topology for Piezoelectric
    Material Characterisation</i>. 2021, pp. 237–38, doi:<a href="https://doi.org/10.5162/SMSI2021/A10.1">10.5162/SMSI2021/A10.1</a>.
  short: 'L. Claes, N. Feldmann, B. Jurgelucks, V. Schulze, S. Schmidt, A. Walther,
    B. Henning, in: 2021, pp. 237–238.'
conference:
  location: Nürnberg
  name: Sensor and Measurement Science International
date_created: 2021-05-06T16:25:42Z
date_updated: 2026-01-05T07:54:28Z
department:
- _id: '49'
doi: 10.5162/SMSI2021/A10.1
language:
- iso: eng
page: 237-238
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)'
publication_identifier:
  unknown:
  - 978-3-9819376-4-0
status: public
title: Optimised Multi-Electrode Topology for Piezoelectric Material Characterisation
type: conference
user_id: '11829'
year: '2021'
...
---
_id: '21233'
author:
- first_name: Veronika
  full_name: Schulze, Veronika
  last_name: Schulze
- first_name: Stephan
  full_name: Schmidt, Stephan
  last_name: Schmidt
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
- 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: Schulze V, Schmidt S, Jurgelucks B, Feldmann N, Claes L. <i>Optimal Experiment
    Design with Respect to Electrode Configurations for a Piezoelectric Problem</i>.;
    2021.
  apa: Schulze, V., Schmidt, S., Jurgelucks, B., Feldmann, N., &#38; Claes, L. (2021).
    <i>Optimal experiment design with respect to electrode configurations for a piezoelectric
    problem</i>.
  bibtex: '@book{Schulze_Schmidt_Jurgelucks_Feldmann_Claes_2021, place={GAMM Annual
    Meeting, Kassel}, title={Optimal experiment design with respect to electrode configurations
    for a piezoelectric problem}, author={Schulze, Veronika and Schmidt, Stephan and
    Jurgelucks, Benjamin and Feldmann, Nadine and Claes, Leander}, year={2021} }'
  chicago: Schulze, Veronika, Stephan Schmidt, Benjamin Jurgelucks, Nadine Feldmann,
    and Leander Claes. <i>Optimal Experiment Design with Respect to Electrode Configurations
    for a Piezoelectric Problem</i>. GAMM Annual Meeting, Kassel, 2021.
  ieee: V. Schulze, S. Schmidt, B. Jurgelucks, N. Feldmann, and L. Claes, <i>Optimal
    experiment design with respect to electrode configurations for a piezoelectric
    problem</i>. GAMM Annual Meeting, Kassel, 2021.
  mla: Schulze, Veronika, et al. <i>Optimal Experiment Design with Respect to Electrode
    Configurations for a Piezoelectric Problem</i>. 2021.
  short: V. Schulze, S. Schmidt, B. Jurgelucks, N. Feldmann, L. Claes, Optimal Experiment
    Design with Respect to Electrode Configurations for a Piezoelectric Problem, GAMM
    Annual Meeting, Kassel, 2021.
date_created: 2021-02-15T09:55:37Z
date_updated: 2026-01-05T07:53:27Z
department:
- _id: '49'
language:
- iso: eng
place: GAMM Annual Meeting, Kassel
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)'
publication_status: published
status: public
title: Optimal experiment design with respect to electrode configurations for a piezoelectric
  problem
type: misc
user_id: '11829'
year: '2021'
...
---
_id: '23462'
author:
- first_name: Veronika
  full_name: Schulze, Veronika
  last_name: Schulze
- first_name: Stephan
  full_name: Schmidt, Stephan
  last_name: Schmidt
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
- 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: Schulze V, Schmidt S, Jurgelucks B, Feldmann N, Claes L. <i>Piezoelectric BC
    Modeling for Electrode Shapes with OED</i>.; 2021.
  apa: Schulze, V., Schmidt, S., Jurgelucks, B., Feldmann, N., &#38; Claes, L. (2021).
    <i>Piezoelectric BC Modeling for Electrode Shapes with OED</i>.
  bibtex: '@book{Schulze_Schmidt_Jurgelucks_Feldmann_Claes_2021, place={GAMM Juniors’
    Summer School 2021, Graz}, title={Piezoelectric BC Modeling for Electrode Shapes
    with OED}, author={Schulze, Veronika and Schmidt, Stephan and Jurgelucks, Benjamin
    and Feldmann, Nadine and Claes, Leander}, year={2021} }'
  chicago: Schulze, Veronika, Stephan Schmidt, Benjamin Jurgelucks, Nadine Feldmann,
    and Leander Claes. <i>Piezoelectric BC Modeling for Electrode Shapes with OED</i>.
    GAMM Juniors’ Summer School 2021, Graz, 2021.
  ieee: V. Schulze, S. Schmidt, B. Jurgelucks, N. Feldmann, and L. Claes, <i>Piezoelectric
    BC Modeling for Electrode Shapes with OED</i>. GAMM Juniors’ Summer School 2021,
    Graz, 2021.
  mla: Schulze, Veronika, et al. <i>Piezoelectric BC Modeling for Electrode Shapes
    with OED</i>. 2021.
  short: V. Schulze, S. Schmidt, B. Jurgelucks, N. Feldmann, L. Claes, Piezoelectric
    BC Modeling for Electrode Shapes with OED, GAMM Juniors’ Summer School 2021, Graz,
    2021.
date_created: 2021-08-23T08:36:31Z
date_updated: 2026-01-05T07:54:44Z
department:
- _id: '49'
language:
- iso: eng
place: GAMM Juniors’ Summer School 2021, Graz
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: Piezoelectric BC Modeling for Electrode Shapes with OED
type: misc
user_id: '11829'
year: '2021'
...