---
_id: '63621'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
citation:
ama: Black T. Refining Hölder regularity theory in degenerate drift-diffusion equations.
Annali di Matematica Pura ed Applicata (1923 -). Published online 2026.
doi:10.1007/s10231-025-01642-4
apa: Black, T. (2026). Refining Hölder regularity theory in degenerate drift-diffusion
equations. Annali Di Matematica Pura Ed Applicata (1923 -). https://doi.org/10.1007/s10231-025-01642-4
bibtex: '@article{Black_2026, title={Refining Hölder regularity theory in degenerate
drift-diffusion equations}, DOI={10.1007/s10231-025-01642-4},
journal={Annali di Matematica Pura ed Applicata (1923 -)}, publisher={Springer
Science and Business Media LLC}, author={Black, Tobias}, year={2026} }'
chicago: Black, Tobias. “Refining Hölder Regularity Theory in Degenerate Drift-Diffusion
Equations.” Annali Di Matematica Pura Ed Applicata (1923 -), 2026. https://doi.org/10.1007/s10231-025-01642-4.
ieee: 'T. Black, “Refining Hölder regularity theory in degenerate drift-diffusion
equations,” Annali di Matematica Pura ed Applicata (1923 -), 2026, doi:
10.1007/s10231-025-01642-4.'
mla: Black, Tobias. “Refining Hölder Regularity Theory in Degenerate Drift-Diffusion
Equations.” Annali Di Matematica Pura Ed Applicata (1923 -), Springer Science
and Business Media LLC, 2026, doi:10.1007/s10231-025-01642-4.
short: T. Black, Annali Di Matematica Pura Ed Applicata (1923 -) (2026).
date_created: 2026-01-15T10:09:43Z
date_updated: 2026-01-15T10:10:58Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1007/s10231-025-01642-4
language:
- iso: eng
publication: Annali di Matematica Pura ed Applicata (1923 -)
publication_identifier:
issn:
- 0373-3114
- 1618-1891
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Refining Hölder regularity theory in degenerate drift-diffusion equations
type: journal_article
user_id: '23686'
year: '2026'
...
---
_id: '63672'
article_number: '24'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
- first_name: Shohei
full_name: Kohatsu, Shohei
last_name: Kohatsu
- first_name: Duan
full_name: Wu, Duan
last_name: Wu
citation:
ama: Black T, Kohatsu S, Wu D. Global solvability and large-time behavior in a doubly
degenerate migration model involving saturated signal consumption. Journal
of Evolution Equations. 2026;26(1). doi:10.1007/s00028-025-01163-w
apa: Black, T., Kohatsu, S., & Wu, D. (2026). Global solvability and large-time
behavior in a doubly degenerate migration model involving saturated signal consumption.
Journal of Evolution Equations, 26(1), Article 24. https://doi.org/10.1007/s00028-025-01163-w
bibtex: '@article{Black_Kohatsu_Wu_2026, title={Global solvability and large-time
behavior in a doubly degenerate migration model involving saturated signal consumption},
volume={26}, DOI={10.1007/s00028-025-01163-w},
number={124}, journal={Journal of Evolution Equations}, publisher={Springer Science
and Business Media LLC}, author={Black, Tobias and Kohatsu, Shohei and Wu, Duan},
year={2026} }'
chicago: Black, Tobias, Shohei Kohatsu, and Duan Wu. “Global Solvability and Large-Time
Behavior in a Doubly Degenerate Migration Model Involving Saturated Signal Consumption.”
Journal of Evolution Equations 26, no. 1 (2026). https://doi.org/10.1007/s00028-025-01163-w.
ieee: 'T. Black, S. Kohatsu, and D. Wu, “Global solvability and large-time behavior
in a doubly degenerate migration model involving saturated signal consumption,”
Journal of Evolution Equations, vol. 26, no. 1, Art. no. 24, 2026, doi:
10.1007/s00028-025-01163-w.'
mla: Black, Tobias, et al. “Global Solvability and Large-Time Behavior in a Doubly
Degenerate Migration Model Involving Saturated Signal Consumption.” Journal
of Evolution Equations, vol. 26, no. 1, 24, Springer Science and Business
Media LLC, 2026, doi:10.1007/s00028-025-01163-w.
short: T. Black, S. Kohatsu, D. Wu, Journal of Evolution Equations 26 (2026).
date_created: 2026-01-20T14:13:53Z
date_updated: 2026-01-20T14:14:50Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1007/s00028-025-01163-w
intvolume: ' 26'
issue: '1'
language:
- iso: eng
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: Global solvability and large-time behavior in a doubly degenerate migration
model involving saturated signal consumption
type: journal_article
user_id: '23686'
volume: 26
year: '2026'
...
---
_id: '63435'
author:
- first_name: Leander
full_name: Claes, Leander
id: '11829'
last_name: Claes
orcid: 0000-0002-4393-268X
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: 'Claes L, Winkler M. Describing smooth small-data solutions to a quasilinear
hyperbolic-parabolic system by W 1,P energy analysis. Nonlinear Analysis: Real
World Applications. 2026;91:104580. doi:10.1016/j.nonrwa.2025.104580'
apa: 'Claes, L., & Winkler, M. (2026). Describing smooth small-data solutions
to a quasilinear hyperbolic-parabolic system by W 1,P energy analysis. Nonlinear
Analysis: Real World Applications, 91, 104580. https://doi.org/10.1016/j.nonrwa.2025.104580'
bibtex: '@article{Claes_Winkler_2026, title={Describing smooth small-data solutions
to a quasilinear hyperbolic-parabolic system by W 1,P energy analysis}, volume={91},
DOI={10.1016/j.nonrwa.2025.104580},
journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV},
author={Claes, Leander and Winkler, Michael}, year={2026}, pages={104580} }'
chicago: 'Claes, Leander, and Michael Winkler. “Describing Smooth Small-Data Solutions
to a Quasilinear Hyperbolic-Parabolic System by W 1,P Energy Analysis.” Nonlinear
Analysis: Real World Applications 91 (2026): 104580. https://doi.org/10.1016/j.nonrwa.2025.104580.'
ieee: 'L. Claes and M. Winkler, “Describing smooth small-data solutions to a quasilinear
hyperbolic-parabolic system by W 1,P energy analysis,” Nonlinear Analysis:
Real World Applications, vol. 91, p. 104580, 2026, doi: 10.1016/j.nonrwa.2025.104580.'
mla: 'Claes, Leander, and Michael Winkler. “Describing Smooth Small-Data Solutions
to a Quasilinear Hyperbolic-Parabolic System by W 1,P Energy Analysis.” Nonlinear
Analysis: Real World Applications, vol. 91, Elsevier BV, 2026, p. 104580,
doi:10.1016/j.nonrwa.2025.104580.'
short: 'L. Claes, M. Winkler, Nonlinear Analysis: Real World Applications 91 (2026)
104580.'
date_created: 2026-01-05T07:32:00Z
date_updated: 2026-01-05T07:40:49Z
department:
- _id: '49'
- _id: '90'
doi: 10.1016/j.nonrwa.2025.104580
intvolume: ' 91'
language:
- iso: eng
page: '104580'
project:
- _id: '245'
name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
für Leistungsschallanwendungen (NEPTUN)'
publication: 'Nonlinear Analysis: Real World Applications'
publication_identifier:
issn:
- 1468-1218
publisher: Elsevier BV
status: public
title: Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic
system by W 1,P energy analysis
type: journal_article
user_id: '11829'
volume: 91
year: '2026'
...
---
_id: '56960'
article_number: '109361'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
citation:
ama: Black T. Absence of dead-core formations in chemotaxis systems with degenerate
diffusion. Applied Mathematics Letters. 2025;161. doi:10.1016/j.aml.2024.109361
apa: Black, T. (2025). Absence of dead-core formations in chemotaxis systems with
degenerate diffusion. Applied Mathematics Letters, 161, Article
109361. https://doi.org/10.1016/j.aml.2024.109361
bibtex: '@article{Black_2025, title={Absence of dead-core formations in chemotaxis
systems with degenerate diffusion}, volume={161}, DOI={10.1016/j.aml.2024.109361},
number={109361}, journal={Applied Mathematics Letters}, publisher={Elsevier BV},
author={Black, Tobias}, year={2025} }'
chicago: Black, Tobias. “Absence of Dead-Core Formations in Chemotaxis Systems with
Degenerate Diffusion.” Applied Mathematics Letters 161 (2025). https://doi.org/10.1016/j.aml.2024.109361.
ieee: 'T. Black, “Absence of dead-core formations in chemotaxis systems with degenerate
diffusion,” Applied Mathematics Letters, vol. 161, Art. no. 109361, 2025,
doi: 10.1016/j.aml.2024.109361.'
mla: Black, Tobias. “Absence of Dead-Core Formations in Chemotaxis Systems with
Degenerate Diffusion.” Applied Mathematics Letters, vol. 161, 109361, Elsevier
BV, 2025, doi:10.1016/j.aml.2024.109361.
short: T. Black, Applied Mathematics Letters 161 (2025).
date_created: 2024-11-08T13:28:04Z
date_updated: 2024-11-08T13:30:02Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.aml.2024.109361
intvolume: ' 161'
language:
- iso: eng
publication: Applied Mathematics Letters
publication_identifier:
issn:
- 0893-9659
publication_status: published
publisher: Elsevier BV
status: public
title: Absence of dead-core formations in chemotaxis systems with degenerate diffusion
type: journal_article
user_id: '23686'
volume: 161
year: '2025'
...
---
_id: '59258'
article_number: '44'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters. Applied Mathematics & Optimization.
2025;91(2). doi:10.1007/s00245-025-10243-9
apa: Winkler, M. (2025). Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters. Applied Mathematics & Optimization,
91(2), Article 44. https://doi.org/10.1007/s00245-025-10243-9
bibtex: '@article{Winkler_2025, title={Rough Data in an Evolution System Generalizing
1D Thermoviscoelasticity with Temperature-Dependent Parameters}, volume={91},
DOI={10.1007/s00245-025-10243-9},
number={244}, journal={Applied Mathematics & Optimization}, publisher={Springer
Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }'
chicago: Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters.” Applied Mathematics & Optimization
91, no. 2 (2025). https://doi.org/10.1007/s00245-025-10243-9.
ieee: 'M. Winkler, “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters,” Applied Mathematics & Optimization,
vol. 91, no. 2, Art. no. 44, 2025, doi: 10.1007/s00245-025-10243-9.'
mla: Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters.” Applied Mathematics & Optimization,
vol. 91, no. 2, 44, Springer Science and Business Media LLC, 2025, doi:10.1007/s00245-025-10243-9.
short: M. Winkler, Applied Mathematics & Optimization 91 (2025).
date_created: 2025-04-02T11:23:25Z
date_updated: 2026-02-26T15:59:30Z
department:
- _id: '90'
doi: 10.1007/s00245-025-10243-9
intvolume: ' 91'
issue: '2'
language:
- iso: eng
project:
- _id: '245'
name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
für Leistungsschallanwendungen (NEPTUN)'
publication: Applied Mathematics & Optimization
publication_identifier:
issn:
- 0095-4616
- 1432-0606
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with
Temperature-Dependent Parameters
type: journal_article
user_id: '11829'
volume: 91
year: '2025'
...
---
_id: '60205'
article_number: '113555'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
citation:
ama: 'Black T. Very mild diffusion enhancement and singular sensitivity: Existence
of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system.
Journal of Differential Equations. 2025;443. doi:10.1016/j.jde.2025.113555'
apa: 'Black, T. (2025). Very mild diffusion enhancement and singular sensitivity:
Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes
system. Journal of Differential Equations, 443, Article 113555.
https://doi.org/10.1016/j.jde.2025.113555'
bibtex: '@article{Black_2025, title={Very mild diffusion enhancement and singular
sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes
system}, volume={443}, DOI={10.1016/j.jde.2025.113555},
number={113555}, journal={Journal of Differential Equations}, publisher={Elsevier
BV}, author={Black, Tobias}, year={2025} }'
chicago: 'Black, Tobias. “Very Mild Diffusion Enhancement and Singular Sensitivity:
Existence of Bounded Weak Solutions in a Two-Dimensional Chemotaxis-Navier–Stokes
System.” Journal of Differential Equations 443 (2025). https://doi.org/10.1016/j.jde.2025.113555.'
ieee: 'T. Black, “Very mild diffusion enhancement and singular sensitivity: Existence
of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system,”
Journal of Differential Equations, vol. 443, Art. no. 113555, 2025, doi:
10.1016/j.jde.2025.113555.'
mla: 'Black, Tobias. “Very Mild Diffusion Enhancement and Singular Sensitivity:
Existence of Bounded Weak Solutions in a Two-Dimensional Chemotaxis-Navier–Stokes
System.” Journal of Differential Equations, vol. 443, 113555, Elsevier
BV, 2025, doi:10.1016/j.jde.2025.113555.'
short: T. Black, Journal of Differential Equations 443 (2025).
date_created: 2025-06-13T11:12:23Z
date_updated: 2025-06-13T11:13:22Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.jde.2025.113555
intvolume: ' 443'
language:
- iso: eng
publication: Journal of Differential Equations
publication_identifier:
issn:
- 0022-0396
publication_status: published
publisher: Elsevier BV
status: public
title: 'Very mild diffusion enhancement and singular sensitivity: Existence of bounded
weak solutions in a two-dimensional chemotaxis-Navier–Stokes system'
type: journal_article
user_id: '23686'
volume: 443
year: '2025'
...
---
_id: '54837'
author:
- first_name: Leander
full_name: Claes, Leander
id: '11829'
last_name: Claes
orcid: 0000-0002-4393-268X
- first_name: Johannes
full_name: Lankeit, Johannes
last_name: Lankeit
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: 'Claes L, Lankeit J, Winkler M. A model for heat generation by acoustic waves
in piezoelectric materials: Global large-data solutions. Mathematical Models
and Methods in Applied Sciences. 2025;35(11):2465-2512. doi:10.1142/s0218202525500447'
apa: 'Claes, L., Lankeit, J., & Winkler, M. (2025). A model for heat generation
by acoustic waves in piezoelectric materials: Global large-data solutions. Mathematical
Models and Methods in Applied Sciences, 35(11), 2465–2512. https://doi.org/10.1142/s0218202525500447'
bibtex: '@article{Claes_Lankeit_Winkler_2025, title={A model for heat generation
by acoustic waves in piezoelectric materials: Global large-data solutions}, volume={35},
DOI={10.1142/s0218202525500447},
number={11}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World
Scientific Pub Co Pte Ltd}, author={Claes, Leander and Lankeit, Johannes and Winkler,
Michael}, year={2025}, pages={2465–2512} }'
chicago: 'Claes, Leander, Johannes Lankeit, and Michael Winkler. “A Model for Heat
Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions.”
Mathematical Models and Methods in Applied Sciences 35, no. 11 (2025):
2465–2512. https://doi.org/10.1142/s0218202525500447.'
ieee: 'L. Claes, J. Lankeit, and M. Winkler, “A model for heat generation by acoustic
waves in piezoelectric materials: Global large-data solutions,” Mathematical
Models and Methods in Applied Sciences, vol. 35, no. 11, pp. 2465–2512, 2025,
doi: 10.1142/s0218202525500447.'
mla: 'Claes, Leander, et al. “A Model for Heat Generation by Acoustic Waves in Piezoelectric
Materials: Global Large-Data Solutions.” Mathematical Models and Methods in
Applied Sciences, vol. 35, no. 11, World Scientific Pub Co Pte Ltd, 2025,
pp. 2465–512, doi:10.1142/s0218202525500447.'
short: L. Claes, J. Lankeit, M. Winkler, Mathematical Models and Methods in Applied
Sciences 35 (2025) 2465–2512.
date_created: 2024-06-20T13:43:42Z
date_updated: 2026-01-05T07:59:41Z
department:
- _id: '90'
- _id: '49'
doi: 10.1142/s0218202525500447
external_id:
arxiv:
- '2411.14900'
intvolume: ' 35'
issue: '11'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2411.14900
oa: '1'
page: 2465-2512
project:
- _id: '245'
name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
für Leistungsschallanwendungen (NEPTUN)'
publication: Mathematical Models and Methods in Applied Sciences
publication_identifier:
issn:
- 1793-6314
publisher: World Scientific Pub Co Pte Ltd
status: public
title: 'A model for heat generation by acoustic waves in piezoelectric materials:
Global large-data solutions'
type: journal_article
user_id: '11829'
volume: 35
year: '2025'
...
---
_id: '57820'
article_number: '113600'
author:
- first_name: Vanja
full_name: Nikolić, Vanja
last_name: Nikolić
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Nikolić V, Winkler M. L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation.
Nonlinear Analysis. 2024;247. doi:10.1016/j.na.2024.113600
apa: Nikolić, V., & Winkler, M. (2024). L∞ blow-up in the Jordan-Moore-Gibson-Thompson
equation. Nonlinear Analysis, 247, Article 113600. https://doi.org/10.1016/j.na.2024.113600
bibtex: '@article{Nikolić_Winkler_2024, title={L∞ blow-up in the Jordan-Moore-Gibson-Thompson
equation}, volume={247}, DOI={10.1016/j.na.2024.113600},
number={113600}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Nikolić,
Vanja and Winkler, Michael}, year={2024} }'
chicago: Nikolić, Vanja, and Michael Winkler. “L∞ Blow-up in the Jordan-Moore-Gibson-Thompson
Equation.” Nonlinear Analysis 247 (2024). https://doi.org/10.1016/j.na.2024.113600.
ieee: 'V. Nikolić and M. Winkler, “L∞ blow-up in the Jordan-Moore-Gibson-Thompson
equation,” Nonlinear Analysis, vol. 247, Art. no. 113600, 2024, doi: 10.1016/j.na.2024.113600.'
mla: Nikolić, Vanja, and Michael Winkler. “L∞ Blow-up in the Jordan-Moore-Gibson-Thompson
Equation.” Nonlinear Analysis, vol. 247, 113600, Elsevier BV, 2024, doi:10.1016/j.na.2024.113600.
short: V. Nikolić, M. Winkler, Nonlinear Analysis 247 (2024).
date_created: 2024-12-18T07:13:19Z
date_updated: 2026-01-05T08:02:36Z
department:
- _id: '90'
doi: 10.1016/j.na.2024.113600
intvolume: ' 247'
language:
- iso: eng
project:
- _id: '245'
name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
für Leistungsschallanwendungen (NEPTUN)'
publication: Nonlinear Analysis
publication_identifier:
issn:
- 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation
type: journal_article
user_id: '11829'
volume: 247
year: '2024'
...
---
_id: '43105'
article_number: '103868'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
- first_name: Mario
full_name: Fuest, Mario
last_name: Fuest
- first_name: Johannes
full_name: Lankeit, Johannes
last_name: Lankeit
- first_name: Masaaki
full_name: Mizukami, Masaaki
last_name: Mizukami
citation:
ama: 'Black T, Fuest M, Lankeit J, Mizukami M. Possible points of blow-up in chemotaxis
systems with spatially heterogeneous logistic source. Nonlinear Analysis: Real
World Applications. 2023;73. doi:10.1016/j.nonrwa.2023.103868'
apa: 'Black, T., Fuest, M., Lankeit, J., & Mizukami, M. (2023). Possible points
of blow-up in chemotaxis systems with spatially heterogeneous logistic source.
Nonlinear Analysis: Real World Applications, 73, Article 103868.
https://doi.org/10.1016/j.nonrwa.2023.103868'
bibtex: '@article{Black_Fuest_Lankeit_Mizukami_2023, title={Possible points of blow-up
in chemotaxis systems with spatially heterogeneous logistic source}, volume={73},
DOI={10.1016/j.nonrwa.2023.103868},
number={103868}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier
BV}, author={Black, Tobias and Fuest, Mario and Lankeit, Johannes and Mizukami,
Masaaki}, year={2023} }'
chicago: 'Black, Tobias, Mario Fuest, Johannes Lankeit, and Masaaki Mizukami. “Possible
Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic
Source.” Nonlinear Analysis: Real World Applications 73 (2023). https://doi.org/10.1016/j.nonrwa.2023.103868.'
ieee: 'T. Black, M. Fuest, J. Lankeit, and M. Mizukami, “Possible points of blow-up
in chemotaxis systems with spatially heterogeneous logistic source,” Nonlinear
Analysis: Real World Applications, vol. 73, Art. no. 103868, 2023, doi: 10.1016/j.nonrwa.2023.103868.'
mla: 'Black, Tobias, et al. “Possible Points of Blow-up in Chemotaxis Systems with
Spatially Heterogeneous Logistic Source.” Nonlinear Analysis: Real World Applications,
vol. 73, 103868, Elsevier BV, 2023, doi:10.1016/j.nonrwa.2023.103868.'
short: 'T. Black, M. Fuest, J. Lankeit, M. Mizukami, Nonlinear Analysis: Real World
Applications 73 (2023).'
date_created: 2023-03-27T07:25:58Z
date_updated: 2023-03-27T07:27:03Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.nonrwa.2023.103868
intvolume: ' 73'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Economics
- Econometrics and Finance
- General Engineering
- General Medicine
- Analysis
language:
- iso: eng
publication: 'Nonlinear Analysis: Real World Applications'
publication_identifier:
issn:
- 1468-1218
publication_status: published
publisher: Elsevier BV
status: public
title: Possible points of blow-up in chemotaxis systems with spatially heterogeneous
logistic source
type: journal_article
user_id: '23686'
volume: 73
year: '2023'
...
---
_id: '35528'
author:
- first_name: Johannes
full_name: Lankeit, Johannes
last_name: Lankeit
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Lankeit J, Winkler M. Radial solutions to a chemotaxis-consumption model involving
prescribed signal concentrations on the boundary. Nonlinearity. 2022;35:719-749.
apa: Lankeit, J., & Winkler, M. (2022). Radial solutions to a chemotaxis-consumption
model involving prescribed signal concentrations on the boundary. Nonlinearity,
35, 719–749.
bibtex: '@article{Lankeit_Winkler_2022, title={Radial solutions to a chemotaxis-consumption
model involving prescribed signal concentrations on the boundary}, volume={35},
journal={Nonlinearity}, author={Lankeit, Johannes and Winkler, Michael}, year={2022},
pages={719–749} }'
chicago: 'Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption
Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity
35 (2022): 719–49.'
ieee: J. Lankeit and M. Winkler, “Radial solutions to a chemotaxis-consumption model
involving prescribed signal concentrations on the boundary,” Nonlinearity,
vol. 35, pp. 719–749, 2022.
mla: Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption
Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity,
vol. 35, 2022, pp. 719–49.
short: J. Lankeit, M. Winkler, Nonlinearity 35 (2022) 719–749.
date_created: 2023-01-09T15:33:38Z
date_updated: 2023-01-20T13:18:15Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 35'
language:
- iso: eng
page: 719-749
publication: Nonlinearity
status: public
title: Radial solutions to a chemotaxis-consumption model involving prescribed signal
concentrations on the boundary
type: journal_article
user_id: '15645'
volume: 35
year: '2022'
...
---
_id: '35568'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes
interaction. Communications in Mathematical Physics. 2022;389:439-489.
apa: Winkler, M. (2022). Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes
interaction. Communications in Mathematical Physics, 389, 439–489.
bibtex: '@article{Winkler_2022, title={Reaction-driven relaxation in threee-dimensional
Keller-Segel-Navier-Stokes interaction.}, volume={389}, journal={Communications
in Mathematical Physics}, author={Winkler, Michael}, year={2022}, pages={439–489}
}'
chicago: 'Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes
Interaction.” Communications in Mathematical Physics 389 (2022): 439–89.'
ieee: M. Winkler, “Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes
interaction.,” Communications in Mathematical Physics, vol. 389, pp. 439–489,
2022.
mla: Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes
Interaction.” Communications in Mathematical Physics, vol. 389, 2022, pp.
439–89.
short: M. Winkler, Communications in Mathematical Physics 389 (2022) 439–489.
date_created: 2023-01-09T16:32:21Z
date_updated: 2023-01-20T13:17:37Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 389'
language:
- iso: eng
page: 439-489
publication: Communications in Mathematical Physics
status: public
title: Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes
interaction.
type: journal_article
user_id: '15645'
volume: 389
year: '2022'
...
---
_id: '35574'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. A family of mass-critical Keller-Segel systems. Proceedings of
the London Mathematical Society. 2022;124:133-181.
apa: Winkler, M. (2022). A family of mass-critical Keller-Segel systems. Proceedings
of the London Mathematical Society, 124, 133–181.
bibtex: '@article{Winkler_2022, title={A family of mass-critical Keller-Segel systems.},
volume={124}, journal={Proceedings of the London Mathematical Society}, author={Winkler,
Michael}, year={2022}, pages={133–181} }'
chicago: 'Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings
of the London Mathematical Society 124 (2022): 133–81.'
ieee: M. Winkler, “A family of mass-critical Keller-Segel systems.,” Proceedings
of the London Mathematical Society, vol. 124, pp. 133–181, 2022.
mla: Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings
of the London Mathematical Society, vol. 124, 2022, pp. 133–81.
short: M. Winkler, Proceedings of the London Mathematical Society 124 (2022) 133–181.
date_created: 2023-01-09T16:35:09Z
date_updated: 2023-01-20T13:17:33Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 124'
language:
- iso: eng
page: 133-181
publication: Proceedings of the London Mathematical Society
status: public
title: A family of mass-critical Keller-Segel systems.
type: journal_article
user_id: '15645'
volume: 124
year: '2022'
...
---
_id: '35483'
author:
- first_name: Kyungkeun
full_name: ' Kang, Kyungkeun'
last_name: ' Kang'
- first_name: Jihoon
full_name: Lee, Jihoon
last_name: Lee
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Kang K, Lee J, Winkler M. Global weak solutions to a chemotaxis-Navier-Stokes
system in $R^3$. Discrete and Continuous Dynamical Systems. 2022;42:5201-5222.
apa: Kang, K., Lee, J., & Winkler, M. (2022). Global weak solutions to a chemotaxis-Navier-Stokes
system in $R^3$. Discrete and Continuous Dynamical Systems, 42,
5201–5222.
bibtex: '@article{ Kang_Lee_Winkler_2022, title={Global weak solutions to a chemotaxis-Navier-Stokes
system in $R^3$.}, volume={42}, journal={Discrete and Continuous Dynamical Systems},
author={ Kang, Kyungkeun and Lee, Jihoon and Winkler, Michael}, year={2022}, pages={5201–5222}
}'
chicago: 'Kang, Kyungkeun, Jihoon Lee, and Michael Winkler. “Global Weak Solutions
to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical
Systems 42 (2022): 5201–22.'
ieee: K. Kang, J. Lee, and M. Winkler, “Global weak solutions to a chemotaxis-Navier-Stokes
system in $R^3$.,” Discrete and Continuous Dynamical Systems, vol. 42,
pp. 5201–5222, 2022.
mla: Kang, Kyungkeun, et al. “Global Weak Solutions to a Chemotaxis-Navier-Stokes
System in $R^3$.” Discrete and Continuous Dynamical Systems, vol. 42, 2022,
pp. 5201–22.
short: K. Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42
(2022) 5201–5222.
date_created: 2023-01-09T13:02:46Z
date_updated: 2023-01-21T09:30:47Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 42'
language:
- iso: eng
page: 5201-5222
publication: Discrete and Continuous Dynamical Systems
status: public
title: Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.
type: journal_article
user_id: '15645'
volume: 42
year: '2022'
...
---
_id: '35479'
author:
- first_name: Nicolas
full_name: Bellomo, Nicolas
last_name: Bellomo
- first_name: Nisrine
full_name: Outada, Nisrine
last_name: Outada
- first_name: Juan
full_name: Soler, Juan
last_name: Soler
- first_name: Youshan
full_name: Tao, Youshan
last_name: Tao
- first_name: Michael
full_name: Winkler, Michael
last_name: Winkler
citation:
ama: 'Bellomo N, Outada N, Soler J, Tao Y, Winkler M. Chemotaxis and cross-diffusion
models in complex environments: Models and analytic problems toward a multiscale
vision. Mathematical Models & Methods in Applied Sciences. 2022;32:713-792.'
apa: 'Bellomo, N., Outada, N., Soler, J., Tao, Y., & Winkler, M. (2022). Chemotaxis
and cross-diffusion models in complex environments: Models and analytic problems
toward a multiscale vision. Mathematical Models & Methods in Applied Sciences,
32, 713–792.'
bibtex: '@article{Bellomo_Outada_Soler_Tao_Winkler_2022, title={Chemotaxis and cross-diffusion
models in complex environments: Models and analytic problems toward a multiscale
vision.}, volume={32}, journal={Mathematical Models & Methods in Applied Sciences},
author={Bellomo, Nicolas and Outada, Nisrine and Soler, Juan and Tao, Youshan
and Winkler, Michael}, year={2022}, pages={713–792} }'
chicago: 'Bellomo, Nicolas, Nisrine Outada, Juan Soler, Youshan Tao, and Michael
Winkler. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models
and Analytic Problems toward a Multiscale Vision.” Mathematical Models &
Methods in Applied Sciences 32 (2022): 713–92.'
ieee: 'N. Bellomo, N. Outada, J. Soler, Y. Tao, and M. Winkler, “Chemotaxis and
cross-diffusion models in complex environments: Models and analytic problems toward
a multiscale vision.,” Mathematical Models & Methods in Applied Sciences,
vol. 32, pp. 713–792, 2022.'
mla: 'Bellomo, Nicolas, et al. “Chemotaxis and Cross-Diffusion Models in Complex
Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical
Models & Methods in Applied Sciences, vol. 32, 2022, pp. 713–92.'
short: N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models
& Methods in Applied Sciences 32 (2022) 713–792.
date_created: 2023-01-09T12:42:07Z
date_updated: 2023-02-01T10:05:54Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 32'
language:
- iso: eng
page: 713-792
publication: Mathematical Models & Methods in Applied Sciences
status: public
title: 'Chemotaxis and cross-diffusion models in complex environments: Models and
analytic problems toward a multiscale vision.'
type: journal_article
user_id: '15645'
volume: 32
year: '2022'
...
---
_id: '35530'
article_number: '14'
author:
- first_name: Johannes
full_name: Lankeit, Johannes
last_name: Lankeit
- first_name: Michael
full_name: Winkler, Michael
last_name: Winkler
citation:
ama: Lankeit J, Winkler M. Global existence in reaction-diffusion systems with mass
control under relaxed assumptions merely referring to cross-absorptiva effects.
Journal of Evolution Equations. 2022;22.
apa: Lankeit, J., & Winkler, M. (2022). Global existence in reaction-diffusion
systems with mass control under relaxed assumptions merely referring to cross-absorptiva
effects. Journal of Evolution Equations, 22, Article 14.
bibtex: '@article{Lankeit_Winkler_2022, title={Global existence in reaction-diffusion
systems with mass control under relaxed assumptions merely referring to cross-absorptiva
effects.}, volume={22}, number={14}, journal={Journal of Evolution Equations},
author={Lankeit, Johannes and Winkler, Michael}, year={2022} }'
chicago: Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction-Diffusion
Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptiva
Effects.” Journal of Evolution Equations 22 (2022).
ieee: J. Lankeit and M. Winkler, “Global existence in reaction-diffusion systems
with mass control under relaxed assumptions merely referring to cross-absorptiva
effects.,” Journal of Evolution Equations, vol. 22, Art. no. 14, 2022.
mla: Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction-Diffusion
Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptiva
Effects.” Journal of Evolution Equations, vol. 22, 14, 2022.
short: J. Lankeit, M. Winkler, Journal of Evolution Equations 22 (2022).
date_created: 2023-01-09T15:37:36Z
date_updated: 2023-02-01T10:07:44Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 22'
language:
- iso: eng
publication: Journal of Evolution Equations
status: public
title: Global existence in reaction-diffusion systems with mass control under relaxed
assumptions merely referring to cross-absorptiva effects.
type: journal_article
user_id: '15645'
volume: 22
year: '2022'
...
---
_id: '35481'
author:
- first_name: Jan
full_name: Fuhrmann, Jan
last_name: Fuhrmann
- first_name: Johannes
full_name: Lankeit, Johannes
last_name: Lankeit
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Fuhrmann J, Lankeit J, Winkler M. A double critical mass phenomenon in a no-flux-Dirichlet
Keller-Segel system. Journal de Mathématiques Pures et Appliquées. 2022;162:124-151.
apa: Fuhrmann, J., Lankeit, J., & Winkler, M. (2022). A double critical mass
phenomenon in a no-flux-Dirichlet Keller-Segel system. Journal de Mathématiques
Pures et Appliquées, 162, 124–151.
bibtex: '@article{Fuhrmann_Lankeit_Winkler_2022, title={A double critical mass phenomenon
in a no-flux-Dirichlet Keller-Segel system.}, volume={162}, journal={Journal de
Mathématiques Pures et Appliquées}, author={Fuhrmann, Jan and Lankeit, Johannes
and Winkler, Michael}, year={2022}, pages={124–151} }'
chicago: 'Fuhrmann, Jan, Johannes Lankeit, and Michael Winkler. “A Double Critical
Mass Phenomenon in a No-Flux-Dirichlet Keller-Segel System.” Journal de Mathématiques
Pures et Appliquées 162 (2022): 124–51.'
ieee: J. Fuhrmann, J. Lankeit, and M. Winkler, “A double critical mass phenomenon
in a no-flux-Dirichlet Keller-Segel system.,” Journal de Mathématiques Pures
et Appliquées, vol. 162, pp. 124–151, 2022.
mla: Fuhrmann, Jan, et al. “A Double Critical Mass Phenomenon in a No-Flux-Dirichlet
Keller-Segel System.” Journal de Mathématiques Pures et Appliquées, vol.
162, 2022, pp. 124–51.
short: J. Fuhrmann, J. Lankeit, M. Winkler, Journal de Mathématiques Pures et Appliquées
162 (2022) 124–151.
date_created: 2023-01-09T12:45:23Z
date_updated: 2023-02-01T09:57:48Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 162'
language:
- iso: eng
page: 124-151
publication: Journal de Mathématiques Pures et Appliquées
status: public
title: A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.
type: journal_article
user_id: '15645'
volume: 162
year: '2022'
...
---
_id: '35565'
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. A smallness condition ensuring boundedness in a
two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions
for the signal. Acta Mathematica Sinica (English Series). 2022;38:985-1001.
apa: Wang, Y., Winkler, M., & Xiang, Z. (2022). A smallness condition ensuring
boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet
boundary conditions for the signal. Acta Mathematica Sinica (English Series),
38, 985–1001.
bibtex: '@article{Wang_Winkler_Xiang_2022, title={A smallness condition ensuring
boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet
boundary conditions for the signal.}, volume={38}, journal={Acta Mathematica Sinica
(English Series)}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin},
year={2022}, pages={985–1001} }'
chicago: 'Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “A Smallness Condition
Ensuring Boundedness in a Two-Dimensional Chemotaxis-Navier-Stokes System Involving
Dirichlet Boundary Conditions for the Signal.” Acta Mathematica Sinica (English
Series) 38 (2022): 985–1001.'
ieee: Y. Wang, M. Winkler, and Z. Xiang, “A smallness condition ensuring boundedness
in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary
conditions for the signal.,” Acta Mathematica Sinica (English Series),
vol. 38, pp. 985–1001, 2022.
mla: Wang, Yulan, et al. “A Smallness Condition Ensuring Boundedness in a Two-Dimensional
Chemotaxis-Navier-Stokes System Involving Dirichlet Boundary Conditions for the
Signal.” Acta Mathematica Sinica (English Series), vol. 38, 2022, pp. 985–1001.
short: Y. Wang, M. Winkler, Z. Xiang, Acta Mathematica Sinica (English Series) 38
(2022) 985–1001.
date_created: 2023-01-09T16:25:05Z
date_updated: 2023-02-01T10:32:20Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 38'
language:
- iso: eng
page: 985-1001
publication: Acta Mathematica Sinica (English Series)
status: public
title: A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes
system involving Dirichlet boundary conditions for the signal.
type: journal_article
user_id: '15645'
volume: 38
year: '2022'
...
---
_id: '35560'
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 mass-preserving solutions to a chemotaxis-fluid
model involving Dirichlet boundary conditions for the signal. Analysis and
Applications. 2022;20:141-170.
apa: Wang, Y., Winkler, M., & Xiang, Z. (2022). Global mass-preserving solutions
to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.
Analysis and Applications, 20, 141–170.
bibtex: '@article{Wang_Winkler_Xiang_2022, title={Global mass-preserving solutions
to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.},
volume={20}, journal={Analysis and Applications}, author={Wang, Yulan and Winkler,
Michael and Xiang, Zhaoyin}, year={2022}, pages={141–170} }'
chicago: 'Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Mass-Preserving
Solutions to a Chemotaxis-Fluid Model Involving Dirichlet Boundary Conditions
for the Signal.” Analysis and Applications 20 (2022): 141–70.'
ieee: Y. Wang, M. Winkler, and Z. Xiang, “Global mass-preserving solutions to a
chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.,”
Analysis and Applications, vol. 20, pp. 141–170, 2022.
mla: Wang, Yulan, et al. “Global Mass-Preserving Solutions to a Chemotaxis-Fluid
Model Involving Dirichlet Boundary Conditions for the Signal.” Analysis and
Applications, vol. 20, 2022, pp. 141–70.
short: Y. Wang, M. Winkler, Z. Xiang, Analysis and Applications 20 (2022) 141–170.
date_created: 2023-01-09T16:21:59Z
date_updated: 2023-02-01T10:29:44Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 20'
language:
- iso: eng
page: 141-170
publication: Analysis and Applications
status: public
title: Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet
boundary conditions for the signal.
type: journal_article
user_id: '15645'
volume: 20
year: '2022'
...
---
_id: '35556'
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. Asymptotic stability of spatial homogeneity in a haptotaxis
model for oncolytic virotherapy. Proceedings of the Royal Society of Edinburgh
Section A: Mathematics. 2022;152:81-101.'
apa: 'Tao, Y., & Winkler, M. (2022). Asymptotic stability of spatial homogeneity
in a haptotaxis model for oncolytic virotherapy. Proceedings of the Royal Society
of Edinburgh Section A: Mathematics, 152, 81–101.'
bibtex: '@article{Tao_Winkler_2022, title={Asymptotic stability of spatial homogeneity
in a haptotaxis model for oncolytic virotherapy.}, volume={152}, journal={Proceedings
of the Royal Society of Edinburgh Section A: Mathematics}, author={Tao, Youshan
and Winkler, Michael}, year={2022}, pages={81–101} }'
chicago: 'Tao, Youshan, and Michael Winkler. “Asymptotic Stability of Spatial Homogeneity
in a Haptotaxis Model for Oncolytic Virotherapy.” Proceedings of the Royal
Society of Edinburgh Section A: Mathematics 152 (2022): 81–101.'
ieee: 'Y. Tao and M. Winkler, “Asymptotic stability of spatial homogeneity in a
haptotaxis model for oncolytic virotherapy.,” Proceedings of the Royal Society
of Edinburgh Section A: Mathematics, vol. 152, pp. 81–101, 2022.'
mla: 'Tao, Youshan, and Michael Winkler. “Asymptotic Stability of Spatial Homogeneity
in a Haptotaxis Model for Oncolytic Virotherapy.” Proceedings of the Royal
Society of Edinburgh Section A: Mathematics, vol. 152, 2022, pp. 81–101.'
short: 'Y. Tao, M. Winkler, Proceedings of the Royal Society of Edinburgh Section
A: Mathematics 152 (2022) 81–101.'
date_created: 2023-01-09T16:16:07Z
date_updated: 2023-02-01T10:16:04Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 152'
language:
- iso: eng
page: 81-101
publication: 'Proceedings of the Royal Society of Edinburgh Section A: Mathematics'
status: public
title: Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic
virotherapy.
type: journal_article
user_id: '15645'
volume: 152
year: '2022'
...
---
_id: '35532'
author:
- first_name: Genglin
full_name: Li, Genglin
last_name: Li
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Li G, Winkler M. Nonnegative solutions to a doubly degenerate nutrient taxis
system . Communications on Pure and Applied Analysis. 2022;21:687-784.
apa: Li, G., & Winkler, M. (2022). Nonnegative solutions to a doubly degenerate
nutrient taxis system . Communications on Pure and Applied Analysis, 21,
687–784.
bibtex: '@article{Li_Winkler_2022, title={Nonnegative solutions to a doubly degenerate
nutrient taxis system }, volume={21}, journal={Communications on Pure and Applied
Analysis}, author={Li, Genglin and Winkler, Michael}, year={2022}, pages={687–784}
}'
chicago: 'Li, Genglin, and Michael Winkler. “Nonnegative Solutions to a Doubly Degenerate
Nutrient Taxis System .” Communications on Pure and Applied Analysis 21
(2022): 687–784.'
ieee: G. Li and M. Winkler, “Nonnegative solutions to a doubly degenerate nutrient
taxis system ,” Communications on Pure and Applied Analysis, vol. 21, pp.
687–784, 2022.
mla: Li, Genglin, and Michael Winkler. “Nonnegative Solutions to a Doubly Degenerate
Nutrient Taxis System .” Communications on Pure and Applied Analysis, vol.
21, 2022, pp. 687–784.
short: G. Li, M. Winkler, Communications on Pure and Applied Analysis 21 (2022)
687–784.
date_created: 2023-01-09T15:51:29Z
date_updated: 2023-02-01T10:09:37Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 21'
language:
- iso: eng
page: 687-784
publication: Communications on Pure and Applied Analysis
status: public
title: 'Nonnegative solutions to a doubly degenerate nutrient taxis system '
type: journal_article
user_id: '15645'
volume: 21
year: '2022'
...