---
_id: '34669'
article_number: '1'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
citation:
  ama: Black T. The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System.
    <i>Journal of Mathematical Fluid Mechanics</i>. 2019;22(1). doi:<a href="https://doi.org/10.1007/s00021-019-0464-z">10.1007/s00021-019-0464-z</a>
  apa: Black, T. (2019). The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes
    System. <i>Journal of Mathematical Fluid Mechanics</i>, <i>22</i>(1), Article
    1. <a href="https://doi.org/10.1007/s00021-019-0464-z">https://doi.org/10.1007/s00021-019-0464-z</a>
  bibtex: '@article{Black_2019, title={The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes
    System}, volume={22}, DOI={<a href="https://doi.org/10.1007/s00021-019-0464-z">10.1007/s00021-019-0464-z</a>},
    number={11}, journal={Journal of Mathematical Fluid Mechanics}, publisher={Springer
    Science and Business Media LLC}, author={Black, Tobias}, year={2019} }'
  chicago: Black, Tobias. “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes
    System.” <i>Journal of Mathematical Fluid Mechanics</i> 22, no. 1 (2019). <a href="https://doi.org/10.1007/s00021-019-0464-z">https://doi.org/10.1007/s00021-019-0464-z</a>.
  ieee: 'T. Black, “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes
    System,” <i>Journal of Mathematical Fluid Mechanics</i>, vol. 22, no. 1, Art.
    no. 1, 2019, doi: <a href="https://doi.org/10.1007/s00021-019-0464-z">10.1007/s00021-019-0464-z</a>.'
  mla: Black, Tobias. “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes
    System.” <i>Journal of Mathematical Fluid Mechanics</i>, vol. 22, no. 1, 1, Springer
    Science and Business Media LLC, 2019, doi:<a href="https://doi.org/10.1007/s00021-019-0464-z">10.1007/s00021-019-0464-z</a>.
  short: T. Black, Journal of Mathematical Fluid Mechanics 22 (2019).
date_created: 2022-12-21T09:47:56Z
date_updated: 2022-12-21T10:04:29Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1007/s00021-019-0464-z
intvolume: '        22'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- Condensed Matter Physics
- Mathematical Physics
language:
- iso: eng
publication: Journal of Mathematical Fluid Mechanics
publication_identifier:
  issn:
  - 1422-6928
  - 1422-6952
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System
type: journal_article
user_id: '23686'
volume: 22
year: '2019'
...
---
_id: '34668'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
- first_name: Johannes
  full_name: Lankeit, Johannes
  last_name: Lankeit
- first_name: Masaaki
  full_name: Mizukami, Masaaki
  last_name: Mizukami
citation:
  ama: 'Black T, Lankeit J, Mizukami M. A Keller‐Segel‐fluid system with singular
    sensitivity: Generalized solutions. <i>Mathematical Methods in the Applied Sciences</i>.
    2019;42(9):3002-3020. doi:<a href="https://doi.org/10.1002/mma.5561">10.1002/mma.5561</a>'
  apa: 'Black, T., Lankeit, J., &#38; Mizukami, M. (2019). A Keller‐Segel‐fluid system
    with singular sensitivity: Generalized solutions. <i>Mathematical Methods in the
    Applied Sciences</i>, <i>42</i>(9), 3002–3020. <a href="https://doi.org/10.1002/mma.5561">https://doi.org/10.1002/mma.5561</a>'
  bibtex: '@article{Black_Lankeit_Mizukami_2019, title={A Keller‐Segel‐fluid system
    with singular sensitivity: Generalized solutions}, volume={42}, DOI={<a href="https://doi.org/10.1002/mma.5561">10.1002/mma.5561</a>},
    number={9}, journal={Mathematical Methods in the Applied Sciences}, publisher={Wiley},
    author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2019},
    pages={3002–3020} }'
  chicago: 'Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “A Keller‐Segel‐fluid
    System with Singular Sensitivity: Generalized Solutions.” <i>Mathematical Methods
    in the Applied Sciences</i> 42, no. 9 (2019): 3002–20. <a href="https://doi.org/10.1002/mma.5561">https://doi.org/10.1002/mma.5561</a>.'
  ieee: 'T. Black, J. Lankeit, and M. Mizukami, “A Keller‐Segel‐fluid system with
    singular sensitivity: Generalized solutions,” <i>Mathematical Methods in the Applied
    Sciences</i>, vol. 42, no. 9, pp. 3002–3020, 2019, doi: <a href="https://doi.org/10.1002/mma.5561">10.1002/mma.5561</a>.'
  mla: 'Black, Tobias, et al. “A Keller‐Segel‐fluid System with Singular Sensitivity:
    Generalized Solutions.” <i>Mathematical Methods in the Applied Sciences</i>, vol.
    42, no. 9, Wiley, 2019, pp. 3002–20, doi:<a href="https://doi.org/10.1002/mma.5561">10.1002/mma.5561</a>.'
  short: T. Black, J. Lankeit, M. Mizukami, Mathematical Methods in the Applied Sciences
    42 (2019) 3002–3020.
date_created: 2022-12-21T09:47:47Z
date_updated: 2022-12-21T10:04:36Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1002/mma.5561
intvolume: '        42'
issue: '9'
keyword:
- General Engineering
- General Mathematics
language:
- iso: eng
page: 3002-3020
publication: Mathematical Methods in the Applied Sciences
publication_identifier:
  issn:
  - 0170-4214
  - 1099-1476
publication_status: published
publisher: Wiley
status: public
title: 'A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions'
type: journal_article
user_id: '23686'
volume: 42
year: '2019'
...
---
_id: '34671'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
- first_name: Johannes
  full_name: Lankeit, Johannes
  last_name: Lankeit
- first_name: Masaaki
  full_name: Mizukami, Masaaki
  last_name: Mizukami
citation:
  ama: Black T, Lankeit J, Mizukami M. Stabilization in the Keller–Segel system with
    signal-dependent sensitivity. <i>Applicable Analysis</i>. 2019;99(16):2877-2891.
    doi:<a href="https://doi.org/10.1080/00036811.2019.1585534">10.1080/00036811.2019.1585534</a>
  apa: Black, T., Lankeit, J., &#38; Mizukami, M. (2019). Stabilization in the Keller–Segel
    system with signal-dependent sensitivity. <i>Applicable Analysis</i>, <i>99</i>(16),
    2877–2891. <a href="https://doi.org/10.1080/00036811.2019.1585534">https://doi.org/10.1080/00036811.2019.1585534</a>
  bibtex: '@article{Black_Lankeit_Mizukami_2019, title={Stabilization in the Keller–Segel
    system with signal-dependent sensitivity}, volume={99}, DOI={<a href="https://doi.org/10.1080/00036811.2019.1585534">10.1080/00036811.2019.1585534</a>},
    number={16}, journal={Applicable Analysis}, publisher={Informa UK Limited}, author={Black,
    Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2019}, pages={2877–2891}
    }'
  chicago: 'Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “Stabilization
    in the Keller–Segel System with Signal-Dependent Sensitivity.” <i>Applicable Analysis</i>
    99, no. 16 (2019): 2877–91. <a href="https://doi.org/10.1080/00036811.2019.1585534">https://doi.org/10.1080/00036811.2019.1585534</a>.'
  ieee: 'T. Black, J. Lankeit, and M. Mizukami, “Stabilization in the Keller–Segel
    system with signal-dependent sensitivity,” <i>Applicable Analysis</i>, vol. 99,
    no. 16, pp. 2877–2891, 2019, doi: <a href="https://doi.org/10.1080/00036811.2019.1585534">10.1080/00036811.2019.1585534</a>.'
  mla: Black, Tobias, et al. “Stabilization in the Keller–Segel System with Signal-Dependent
    Sensitivity.” <i>Applicable Analysis</i>, vol. 99, no. 16, Informa UK Limited,
    2019, pp. 2877–91, doi:<a href="https://doi.org/10.1080/00036811.2019.1585534">10.1080/00036811.2019.1585534</a>.
  short: T. Black, J. Lankeit, M. Mizukami, Applicable Analysis 99 (2019) 2877–2891.
date_created: 2022-12-21T09:48:19Z
date_updated: 2022-12-21T10:04:50Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1080/00036811.2019.1585534
intvolume: '        99'
issue: '16'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
page: 2877-2891
publication: Applicable Analysis
publication_identifier:
  issn:
  - 0003-6811
  - 1563-504X
publication_status: published
publisher: Informa UK Limited
status: public
title: Stabilization in the Keller–Segel system with signal-dependent sensitivity
type: journal_article
user_id: '23686'
volume: 99
year: '2019'
...
---
_id: '34664'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
citation:
  ama: Black T. Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear
    Diffusion. <i>SIAM Journal on Mathematical Analysis</i>. 2018;50(4):4087-4116.
    doi:<a href="https://doi.org/10.1137/17m1159488">10.1137/17m1159488</a>
  apa: Black, T. (2018). Global Very Weak Solutions to a Chemotaxis-Fluid System with
    Nonlinear Diffusion. <i>SIAM Journal on Mathematical Analysis</i>, <i>50</i>(4),
    4087–4116. <a href="https://doi.org/10.1137/17m1159488">https://doi.org/10.1137/17m1159488</a>
  bibtex: '@article{Black_2018, title={Global Very Weak Solutions to a Chemotaxis-Fluid
    System with Nonlinear Diffusion}, volume={50}, DOI={<a href="https://doi.org/10.1137/17m1159488">10.1137/17m1159488</a>},
    number={4}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society
    for Industrial &#38; Applied Mathematics (SIAM)}, author={Black, Tobias}, year={2018},
    pages={4087–4116} }'
  chicago: 'Black, Tobias. “Global Very Weak Solutions to a Chemotaxis-Fluid System
    with Nonlinear Diffusion.” <i>SIAM Journal on Mathematical Analysis</i> 50, no.
    4 (2018): 4087–4116. <a href="https://doi.org/10.1137/17m1159488">https://doi.org/10.1137/17m1159488</a>.'
  ieee: 'T. Black, “Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear
    Diffusion,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 50, no. 4, pp.
    4087–4116, 2018, doi: <a href="https://doi.org/10.1137/17m1159488">10.1137/17m1159488</a>.'
  mla: Black, Tobias. “Global Very Weak Solutions to a Chemotaxis-Fluid System with
    Nonlinear Diffusion.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 50, no.
    4, Society for Industrial &#38; Applied Mathematics (SIAM), 2018, pp. 4087–116,
    doi:<a href="https://doi.org/10.1137/17m1159488">10.1137/17m1159488</a>.
  short: T. Black, SIAM Journal on Mathematical Analysis 50 (2018) 4087–4116.
date_created: 2022-12-21T09:47:01Z
date_updated: 2022-12-21T10:04:57Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1137/17m1159488
intvolume: '        50'
issue: '4'
keyword:
- Applied Mathematics
- Computational Mathematics
- Analysis
language:
- iso: eng
page: 4087-4116
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: Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion
type: journal_article
user_id: '23686'
volume: 50
year: '2018'
...
---
_id: '34666'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
citation:
  ama: Black T. Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes
    system in 2D. <i>Journal of Differential Equations</i>. 2018;265(5):2296-2339.
    doi:<a href="https://doi.org/10.1016/j.jde.2018.04.035">10.1016/j.jde.2018.04.035</a>
  apa: Black, T. (2018). Eventual smoothness of generalized solutions to a singular
    chemotaxis-Stokes system in 2D. <i>Journal of Differential Equations</i>, <i>265</i>(5),
    2296–2339. <a href="https://doi.org/10.1016/j.jde.2018.04.035">https://doi.org/10.1016/j.jde.2018.04.035</a>
  bibtex: '@article{Black_2018, title={Eventual smoothness of generalized solutions
    to a singular chemotaxis-Stokes system in 2D}, volume={265}, DOI={<a href="https://doi.org/10.1016/j.jde.2018.04.035">10.1016/j.jde.2018.04.035</a>},
    number={5}, journal={Journal of Differential Equations}, publisher={Elsevier BV},
    author={Black, Tobias}, year={2018}, pages={2296–2339} }'
  chicago: 'Black, Tobias. “Eventual Smoothness of Generalized Solutions to a Singular
    Chemotaxis-Stokes System in 2D.” <i>Journal of Differential Equations</i> 265,
    no. 5 (2018): 2296–2339. <a href="https://doi.org/10.1016/j.jde.2018.04.035">https://doi.org/10.1016/j.jde.2018.04.035</a>.'
  ieee: 'T. Black, “Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes
    system in 2D,” <i>Journal of Differential Equations</i>, vol. 265, no. 5, pp.
    2296–2339, 2018, doi: <a href="https://doi.org/10.1016/j.jde.2018.04.035">10.1016/j.jde.2018.04.035</a>.'
  mla: Black, Tobias. “Eventual Smoothness of Generalized Solutions to a Singular
    Chemotaxis-Stokes System in 2D.” <i>Journal of Differential Equations</i>, vol.
    265, no. 5, Elsevier BV, 2018, pp. 2296–339, doi:<a href="https://doi.org/10.1016/j.jde.2018.04.035">10.1016/j.jde.2018.04.035</a>.
  short: T. Black, Journal of Differential Equations 265 (2018) 2296–2339.
date_created: 2022-12-21T09:47:19Z
date_updated: 2022-12-21T10:05:11Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.jde.2018.04.035
intvolume: '       265'
issue: '5'
keyword:
- Analysis
- Applied Mathematics
language:
- iso: eng
page: 2296-2339
publication: Journal of Differential Equations
publication_identifier:
  issn:
  - 0022-0396
publication_status: published
publisher: Elsevier BV
status: public
title: Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes
  system in 2D
type: journal_article
user_id: '23686'
volume: 265
year: '2018'
...
---
_id: '34667'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
citation:
  ama: Black T. Global solvability of chemotaxis–fluid systems with nonlinear diffusion
    and matrix-valued sensitivities in three dimensions. <i>Nonlinear Analysis</i>.
    2018;180:129-153. doi:<a href="https://doi.org/10.1016/j.na.2018.10.003">10.1016/j.na.2018.10.003</a>
  apa: Black, T. (2018). Global solvability of chemotaxis–fluid systems with nonlinear
    diffusion and matrix-valued sensitivities in three dimensions. <i>Nonlinear Analysis</i>,
    <i>180</i>, 129–153. <a href="https://doi.org/10.1016/j.na.2018.10.003">https://doi.org/10.1016/j.na.2018.10.003</a>
  bibtex: '@article{Black_2018, title={Global solvability of chemotaxis–fluid systems
    with nonlinear diffusion and matrix-valued sensitivities in three dimensions},
    volume={180}, DOI={<a href="https://doi.org/10.1016/j.na.2018.10.003">10.1016/j.na.2018.10.003</a>},
    journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Black, Tobias},
    year={2018}, pages={129–153} }'
  chicago: 'Black, Tobias. “Global Solvability of Chemotaxis–Fluid Systems with Nonlinear
    Diffusion and Matrix-Valued Sensitivities in Three Dimensions.” <i>Nonlinear Analysis</i>
    180 (2018): 129–53. <a href="https://doi.org/10.1016/j.na.2018.10.003">https://doi.org/10.1016/j.na.2018.10.003</a>.'
  ieee: 'T. Black, “Global solvability of chemotaxis–fluid systems with nonlinear
    diffusion and matrix-valued sensitivities in three dimensions,” <i>Nonlinear Analysis</i>,
    vol. 180, pp. 129–153, 2018, doi: <a href="https://doi.org/10.1016/j.na.2018.10.003">10.1016/j.na.2018.10.003</a>.'
  mla: Black, Tobias. “Global Solvability of Chemotaxis–Fluid Systems with Nonlinear
    Diffusion and Matrix-Valued Sensitivities in Three Dimensions.” <i>Nonlinear Analysis</i>,
    vol. 180, Elsevier BV, 2018, pp. 129–53, doi:<a href="https://doi.org/10.1016/j.na.2018.10.003">10.1016/j.na.2018.10.003</a>.
  short: T. Black, Nonlinear Analysis 180 (2018) 129–153.
date_created: 2022-12-21T09:47:30Z
date_updated: 2022-12-21T10:05:04Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.na.2018.10.003
intvolume: '       180'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
page: 129-153
publication: Nonlinear Analysis
publication_identifier:
  issn:
  - 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: Global solvability of chemotaxis–fluid systems with nonlinear diffusion and
  matrix-valued sensitivities in three dimensions
type: journal_article
user_id: '23686'
volume: 180
year: '2018'
...
---
_id: '34663'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
citation:
  ama: Black T. Global existence and asymptotic stability in a competitive two-species
    chemotaxis system with two signals. <i>Discrete &#38;amp; Continuous Dynamical
    Systems - B</i>. 2017;22(4):1253-1272. doi:<a href="https://doi.org/10.3934/dcdsb.2017061">10.3934/dcdsb.2017061</a>
  apa: Black, T. (2017). Global existence and asymptotic stability in a competitive
    two-species chemotaxis system with two signals. <i>Discrete &#38;amp; Continuous
    Dynamical Systems - B</i>, <i>22</i>(4), 1253–1272. <a href="https://doi.org/10.3934/dcdsb.2017061">https://doi.org/10.3934/dcdsb.2017061</a>
  bibtex: '@article{Black_2017, title={Global existence and asymptotic stability in
    a competitive two-species chemotaxis system with two signals}, volume={22}, DOI={<a
    href="https://doi.org/10.3934/dcdsb.2017061">10.3934/dcdsb.2017061</a>}, number={4},
    journal={Discrete &#38;amp; Continuous Dynamical Systems - B}, publisher={American
    Institute of Mathematical Sciences (AIMS)}, author={Black, Tobias}, year={2017},
    pages={1253–1272} }'
  chicago: 'Black, Tobias. “Global Existence and Asymptotic Stability in a Competitive
    Two-Species Chemotaxis System with Two Signals.” <i>Discrete &#38;amp; Continuous
    Dynamical Systems - B</i> 22, no. 4 (2017): 1253–72. <a href="https://doi.org/10.3934/dcdsb.2017061">https://doi.org/10.3934/dcdsb.2017061</a>.'
  ieee: 'T. Black, “Global existence and asymptotic stability in a competitive two-species
    chemotaxis system with two signals,” <i>Discrete &#38;amp; Continuous Dynamical
    Systems - B</i>, vol. 22, no. 4, pp. 1253–1272, 2017, doi: <a href="https://doi.org/10.3934/dcdsb.2017061">10.3934/dcdsb.2017061</a>.'
  mla: Black, Tobias. “Global Existence and Asymptotic Stability in a Competitive
    Two-Species Chemotaxis System with Two Signals.” <i>Discrete &#38;amp; Continuous
    Dynamical Systems - B</i>, vol. 22, no. 4, American Institute of Mathematical
    Sciences (AIMS), 2017, pp. 1253–72, doi:<a href="https://doi.org/10.3934/dcdsb.2017061">10.3934/dcdsb.2017061</a>.
  short: T. Black, Discrete &#38;amp; Continuous Dynamical Systems - B 22 (2017) 1253–1272.
date_created: 2022-12-21T09:46:50Z
date_updated: 2022-12-21T10:05:19Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.3934/dcdsb.2017061
intvolume: '        22'
issue: '4'
keyword:
- Applied Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
page: 1253-1272
publication: Discrete &amp; Continuous Dynamical Systems - B
publication_identifier:
  issn:
  - 1553-524X
publication_status: published
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: Global existence and asymptotic stability in a competitive two-species chemotaxis
  system with two signals
type: journal_article
user_id: '23686'
volume: 22
year: '2017'
...
---
_id: '34665'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
- first_name: Johannes
  full_name: Lankeit, Johannes
  last_name: Lankeit
- first_name: Masaaki
  full_name: Mizukami, Masaaki
  last_name: Mizukami
citation:
  ama: Black T, Lankeit J, Mizukami M. Singular sensitivity in a Keller–Segel-fluid
    system. <i>Journal of Evolution Equations</i>. 2017;18(2):561-581. doi:<a href="https://doi.org/10.1007/s00028-017-0411-5">10.1007/s00028-017-0411-5</a>
  apa: Black, T., Lankeit, J., &#38; Mizukami, M. (2017). Singular sensitivity in
    a Keller–Segel-fluid system. <i>Journal of Evolution Equations</i>, <i>18</i>(2),
    561–581. <a href="https://doi.org/10.1007/s00028-017-0411-5">https://doi.org/10.1007/s00028-017-0411-5</a>
  bibtex: '@article{Black_Lankeit_Mizukami_2017, title={Singular sensitivity in a
    Keller–Segel-fluid system}, volume={18}, DOI={<a href="https://doi.org/10.1007/s00028-017-0411-5">10.1007/s00028-017-0411-5</a>},
    number={2}, journal={Journal of Evolution Equations}, publisher={Springer Science
    and Business Media LLC}, author={Black, Tobias and Lankeit, Johannes and Mizukami,
    Masaaki}, year={2017}, pages={561–581} }'
  chicago: 'Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “Singular Sensitivity
    in a Keller–Segel-Fluid System.” <i>Journal of Evolution Equations</i> 18, no.
    2 (2017): 561–81. <a href="https://doi.org/10.1007/s00028-017-0411-5">https://doi.org/10.1007/s00028-017-0411-5</a>.'
  ieee: 'T. Black, J. Lankeit, and M. Mizukami, “Singular sensitivity in a Keller–Segel-fluid
    system,” <i>Journal of Evolution Equations</i>, vol. 18, no. 2, pp. 561–581, 2017,
    doi: <a href="https://doi.org/10.1007/s00028-017-0411-5">10.1007/s00028-017-0411-5</a>.'
  mla: Black, Tobias, et al. “Singular Sensitivity in a Keller–Segel-Fluid System.”
    <i>Journal of Evolution Equations</i>, vol. 18, no. 2, Springer Science and Business
    Media LLC, 2017, pp. 561–81, doi:<a href="https://doi.org/10.1007/s00028-017-0411-5">10.1007/s00028-017-0411-5</a>.
  short: T. Black, J. Lankeit, M. Mizukami, Journal of Evolution Equations 18 (2017)
    561–581.
date_created: 2022-12-21T09:47:13Z
date_updated: 2022-12-21T10:05:25Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1007/s00028-017-0411-5
intvolume: '        18'
issue: '2'
keyword:
- Mathematics (miscellaneous)
language:
- iso: eng
page: 561-581
publication: Journal of Evolution Equations
publication_identifier:
  issn:
  - 1424-3199
  - 1424-3202
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Singular sensitivity in a Keller–Segel-fluid system
type: journal_article
user_id: '23686'
volume: 18
year: '2017'
...
---
_id: '34660'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
- first_name: Johannes
  full_name: Lankeit, Johannes
  last_name: Lankeit
- first_name: Masaaki
  full_name: Mizukami, Masaaki
  last_name: Mizukami
citation:
  ama: Black T, Lankeit J, Mizukami M. On the weakly competitive case in a two-species
    chemotaxis model. <i>IMA Journal of Applied Mathematics</i>. 2016;81(5):860-876.
    doi:<a href="https://doi.org/10.1093/imamat/hxw036">10.1093/imamat/hxw036</a>
  apa: Black, T., Lankeit, J., &#38; Mizukami, M. (2016). On the weakly competitive
    case in a two-species chemotaxis model. <i>IMA Journal of Applied Mathematics</i>,
    <i>81</i>(5), 860–876. <a href="https://doi.org/10.1093/imamat/hxw036">https://doi.org/10.1093/imamat/hxw036</a>
  bibtex: '@article{Black_Lankeit_Mizukami_2016, title={On the weakly competitive
    case in a two-species chemotaxis model}, volume={81}, DOI={<a href="https://doi.org/10.1093/imamat/hxw036">10.1093/imamat/hxw036</a>},
    number={5}, journal={IMA Journal of Applied Mathematics}, publisher={Oxford University
    Press (OUP)}, author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki},
    year={2016}, pages={860–876} }'
  chicago: 'Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “On the Weakly
    Competitive Case in a Two-Species Chemotaxis Model.” <i>IMA Journal of Applied
    Mathematics</i> 81, no. 5 (2016): 860–76. <a href="https://doi.org/10.1093/imamat/hxw036">https://doi.org/10.1093/imamat/hxw036</a>.'
  ieee: 'T. Black, J. Lankeit, and M. Mizukami, “On the weakly competitive case in
    a two-species chemotaxis model,” <i>IMA Journal of Applied Mathematics</i>, vol.
    81, no. 5, pp. 860–876, 2016, doi: <a href="https://doi.org/10.1093/imamat/hxw036">10.1093/imamat/hxw036</a>.'
  mla: Black, Tobias, et al. “On the Weakly Competitive Case in a Two-Species Chemotaxis
    Model.” <i>IMA Journal of Applied Mathematics</i>, vol. 81, no. 5, Oxford University
    Press (OUP), 2016, pp. 860–76, doi:<a href="https://doi.org/10.1093/imamat/hxw036">10.1093/imamat/hxw036</a>.
  short: T. Black, J. Lankeit, M. Mizukami, IMA Journal of Applied Mathematics 81
    (2016) 860–876.
date_created: 2022-12-21T09:46:18Z
date_updated: 2022-12-21T10:05:33Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1093/imamat/hxw036
intvolume: '        81'
issue: '5'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 860-876
publication: IMA Journal of Applied Mathematics
publication_identifier:
  issn:
  - 0272-4960
  - 1464-3634
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: On the weakly competitive case in a two-species chemotaxis model
type: journal_article
user_id: '23686'
volume: 81
year: '2016'
...
---
_id: '34662'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
citation:
  ama: Black T. Boundedness in a Keller–Segel system with external signal production.
    <i>Journal of Mathematical Analysis and Applications</i>. 2016;446(1):436-455.
    doi:<a href="https://doi.org/10.1016/j.jmaa.2016.08.049">10.1016/j.jmaa.2016.08.049</a>
  apa: Black, T. (2016). Boundedness in a Keller–Segel system with external signal
    production. <i>Journal of Mathematical Analysis and Applications</i>, <i>446</i>(1),
    436–455. <a href="https://doi.org/10.1016/j.jmaa.2016.08.049">https://doi.org/10.1016/j.jmaa.2016.08.049</a>
  bibtex: '@article{Black_2016, title={Boundedness in a Keller–Segel system with external
    signal production}, volume={446}, DOI={<a href="https://doi.org/10.1016/j.jmaa.2016.08.049">10.1016/j.jmaa.2016.08.049</a>},
    number={1}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier
    BV}, author={Black, Tobias}, year={2016}, pages={436–455} }'
  chicago: 'Black, Tobias. “Boundedness in a Keller–Segel System with External Signal
    Production.” <i>Journal of Mathematical Analysis and Applications</i> 446, no.
    1 (2016): 436–55. <a href="https://doi.org/10.1016/j.jmaa.2016.08.049">https://doi.org/10.1016/j.jmaa.2016.08.049</a>.'
  ieee: 'T. Black, “Boundedness in a Keller–Segel system with external signal production,”
    <i>Journal of Mathematical Analysis and Applications</i>, vol. 446, no. 1, pp.
    436–455, 2016, doi: <a href="https://doi.org/10.1016/j.jmaa.2016.08.049">10.1016/j.jmaa.2016.08.049</a>.'
  mla: Black, Tobias. “Boundedness in a Keller–Segel System with External Signal Production.”
    <i>Journal of Mathematical Analysis and Applications</i>, vol. 446, no. 1, Elsevier
    BV, 2016, pp. 436–55, doi:<a href="https://doi.org/10.1016/j.jmaa.2016.08.049">10.1016/j.jmaa.2016.08.049</a>.
  short: T. Black, Journal of Mathematical Analysis and Applications 446 (2016) 436–455.
date_created: 2022-12-21T09:46:40Z
date_updated: 2022-12-21T10:05:39Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.jmaa.2016.08.049
intvolume: '       446'
issue: '1'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
page: 436-455
publication: Journal of Mathematical Analysis and Applications
publication_identifier:
  issn:
  - 0022-247X
publication_status: published
publisher: Elsevier BV
status: public
title: Boundedness in a Keller–Segel system with external signal production
type: journal_article
user_id: '23686'
volume: 446
year: '2016'
...
---
_id: '34659'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
citation:
  ama: Black T. Blow-up of weak solutions to a chemotaxis system under influence of
    an external chemoattractant. <i>Nonlinearity</i>. 2016;29(6):1865-1886. doi:<a
    href="https://doi.org/10.1088/0951-7715/29/6/1865">10.1088/0951-7715/29/6/1865</a>
  apa: Black, T. (2016). Blow-up of weak solutions to a chemotaxis system under influence
    of an external chemoattractant. <i>Nonlinearity</i>, <i>29</i>(6), 1865–1886.
    <a href="https://doi.org/10.1088/0951-7715/29/6/1865">https://doi.org/10.1088/0951-7715/29/6/1865</a>
  bibtex: '@article{Black_2016, title={Blow-up of weak solutions to a chemotaxis system
    under influence of an external chemoattractant}, volume={29}, DOI={<a href="https://doi.org/10.1088/0951-7715/29/6/1865">10.1088/0951-7715/29/6/1865</a>},
    number={6}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Black,
    Tobias}, year={2016}, pages={1865–1886} }'
  chicago: 'Black, Tobias. “Blow-up of Weak Solutions to a Chemotaxis System under
    Influence of an External Chemoattractant.” <i>Nonlinearity</i> 29, no. 6 (2016):
    1865–86. <a href="https://doi.org/10.1088/0951-7715/29/6/1865">https://doi.org/10.1088/0951-7715/29/6/1865</a>.'
  ieee: 'T. Black, “Blow-up of weak solutions to a chemotaxis system under influence
    of an external chemoattractant,” <i>Nonlinearity</i>, vol. 29, no. 6, pp. 1865–1886,
    2016, doi: <a href="https://doi.org/10.1088/0951-7715/29/6/1865">10.1088/0951-7715/29/6/1865</a>.'
  mla: Black, Tobias. “Blow-up of Weak Solutions to a Chemotaxis System under Influence
    of an External Chemoattractant.” <i>Nonlinearity</i>, vol. 29, no. 6, IOP Publishing,
    2016, pp. 1865–86, doi:<a href="https://doi.org/10.1088/0951-7715/29/6/1865">10.1088/0951-7715/29/6/1865</a>.
  short: T. Black, Nonlinearity 29 (2016) 1865–1886.
date_created: 2022-12-21T09:46:00Z
date_updated: 2022-12-21T10:05:45Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1088/0951-7715/29/6/1865
intvolume: '        29'
issue: '6'
keyword:
- Applied Mathematics
- General Physics and Astronomy
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 1865-1886
publication: Nonlinearity
publication_identifier:
  issn:
  - 0951-7715
  - 1361-6544
publication_status: published
publisher: IOP Publishing
status: public
title: Blow-up of weak solutions to a chemotaxis system under influence of an external
  chemoattractant
type: journal_article
user_id: '23686'
volume: 29
year: '2016'
...
---
_id: '34661'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
citation:
  ama: 'Black T. Sublinear signal production in a two-dimensional Keller–Segel–Stokes
    system. <i>Nonlinear Analysis: Real World Applications</i>. 2016;31:593-609. doi:<a
    href="https://doi.org/10.1016/j.nonrwa.2016.03.008">10.1016/j.nonrwa.2016.03.008</a>'
  apa: 'Black, T. (2016). Sublinear signal production in a two-dimensional Keller–Segel–Stokes
    system. <i>Nonlinear Analysis: Real World Applications</i>, <i>31</i>, 593–609.
    <a href="https://doi.org/10.1016/j.nonrwa.2016.03.008">https://doi.org/10.1016/j.nonrwa.2016.03.008</a>'
  bibtex: '@article{Black_2016, title={Sublinear signal production in a two-dimensional
    Keller–Segel–Stokes system}, volume={31}, DOI={<a href="https://doi.org/10.1016/j.nonrwa.2016.03.008">10.1016/j.nonrwa.2016.03.008</a>},
    journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV},
    author={Black, Tobias}, year={2016}, pages={593–609} }'
  chicago: 'Black, Tobias. “Sublinear Signal Production in a Two-Dimensional Keller–Segel–Stokes
    System.” <i>Nonlinear Analysis: Real World Applications</i> 31 (2016): 593–609.
    <a href="https://doi.org/10.1016/j.nonrwa.2016.03.008">https://doi.org/10.1016/j.nonrwa.2016.03.008</a>.'
  ieee: 'T. Black, “Sublinear signal production in a two-dimensional Keller–Segel–Stokes
    system,” <i>Nonlinear Analysis: Real World Applications</i>, vol. 31, pp. 593–609,
    2016, doi: <a href="https://doi.org/10.1016/j.nonrwa.2016.03.008">10.1016/j.nonrwa.2016.03.008</a>.'
  mla: 'Black, Tobias. “Sublinear Signal Production in a Two-Dimensional Keller–Segel–Stokes
    System.” <i>Nonlinear Analysis: Real World Applications</i>, vol. 31, Elsevier
    BV, 2016, pp. 593–609, doi:<a href="https://doi.org/10.1016/j.nonrwa.2016.03.008">10.1016/j.nonrwa.2016.03.008</a>.'
  short: 'T. Black, Nonlinear Analysis: Real World Applications 31 (2016) 593–609.'
date_created: 2022-12-21T09:46:31Z
date_updated: 2022-12-21T10:05:52Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.nonrwa.2016.03.008
intvolume: '        31'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Economics
- Econometrics and Finance
- General Engineering
- General Medicine
- Analysis
language:
- iso: eng
page: 593-609
publication: 'Nonlinear Analysis: Real World Applications'
publication_identifier:
  issn:
  - 1468-1218
publication_status: published
publisher: Elsevier BV
status: public
title: Sublinear signal production in a two-dimensional Keller–Segel–Stokes system
type: journal_article
user_id: '23686'
volume: 31
year: '2016'
...