Tobias Black

Fakultät für Elektrotechnik, Informatik und Mathematik
Institut für Mathematik
Partielle Differentialgleichungen
tblack@mail.uni-paderborn.de
ID
23686

19 Publications

Mark all

[19]
2023 | Journal Article | LibreCat-ID: 43105
Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source
T. Black, M. Fuest, J. Lankeit, M. Mizukami, Nonlinear Analysis: Real World Applications 73 (2023).
LibreCat | DOI
 
[18]
2022 | Journal Article | LibreCat-ID: 34676
Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary
T. Black, M. Winkler, Mathematical Models and Methods in Applied Sciences 32 (2022) 137–173.
LibreCat | DOI
 
[17]
2022 | Journal Article | LibreCat-ID: 34677
Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation
T. Black, C. Wu, Calculus of Variations and Partial Differential Equations 61 (2022).
LibreCat | DOI
 
[16]
2021 | Journal Article | LibreCat-ID: 34673
Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems
T. Black, M. Fuest, J. Lankeit, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
LibreCat | DOI
 
[15]
2021 | Journal Article | LibreCat-ID: 34675
Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation
T. Black, C. Wu, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
LibreCat | DOI
 
[14]
2020 | Journal Article | LibreCat-ID: 34670
Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties
T. Black, Mathematical Models and Methods in Applied Sciences 30 (2020) 1075–1117.
LibreCat | DOI
 
[13]
2019 | Journal Article | LibreCat-ID: 34672
Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity
T. Black, Discrete & Continuous Dynamical Systems - S 13 (2019) 119–137.
LibreCat | DOI
 
[12]
2019 | Journal Article | LibreCat-ID: 34669
The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System
T. Black, Journal of Mathematical Fluid Mechanics 22 (2019).
LibreCat | DOI
 
[11]
2019 | Journal Article | LibreCat-ID: 34668
A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions
T. Black, J. Lankeit, M. Mizukami, Mathematical Methods in the Applied Sciences 42 (2019) 3002–3020.
LibreCat | DOI
 
[10]
2019 | Journal Article | LibreCat-ID: 34671
Stabilization in the Keller–Segel system with signal-dependent sensitivity
T. Black, J. Lankeit, M. Mizukami, Applicable Analysis 99 (2019) 2877–2891.
LibreCat | DOI
 
[9]
2018 | Journal Article | LibreCat-ID: 34664
Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion
T. Black, SIAM Journal on Mathematical Analysis 50 (2018) 4087–4116.
LibreCat | DOI
 
[8]
2018 | Journal Article | LibreCat-ID: 34666
Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D
T. Black, Journal of Differential Equations 265 (2018) 2296–2339.
LibreCat | DOI
 
[7]
2018 | Journal Article | LibreCat-ID: 34667
Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions
T. Black, Nonlinear Analysis 180 (2018) 129–153.
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 34663
Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals
T. Black, Discrete & Continuous Dynamical Systems - B 22 (2017) 1253–1272.
LibreCat | DOI
 
[5]
2017 | Journal Article | LibreCat-ID: 34665
Singular sensitivity in a Keller–Segel-fluid system
T. Black, J. Lankeit, M. Mizukami, Journal of Evolution Equations 18 (2017) 561–581.
LibreCat | DOI
 
[4]
2016 | Journal Article | LibreCat-ID: 34660
On the weakly competitive case in a two-species chemotaxis model
T. Black, J. Lankeit, M. Mizukami, IMA Journal of Applied Mathematics 81 (2016) 860–876.
LibreCat | DOI
 
[3]
2016 | Journal Article | LibreCat-ID: 34662
Boundedness in a Keller–Segel system with external signal production
T. Black, Journal of Mathematical Analysis and Applications 446 (2016) 436–455.
LibreCat | DOI
 
[2]
2016 | Journal Article | LibreCat-ID: 34659
Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant
T. Black, Nonlinearity 29 (2016) 1865–1886.
LibreCat | DOI
 
[1]
2016 | Journal Article | LibreCat-ID: 34661
Sublinear signal production in a two-dimensional Keller–Segel–Stokes system
T. Black, Nonlinear Analysis: Real World Applications 31 (2016) 593–609.
LibreCat | DOI
 
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19 Publications

Mark all

[19]
2023 | Journal Article | LibreCat-ID: 43105
Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source
T. Black, M. Fuest, J. Lankeit, M. Mizukami, Nonlinear Analysis: Real World Applications 73 (2023).
LibreCat | DOI
 
[18]
2022 | Journal Article | LibreCat-ID: 34676
Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary
T. Black, M. Winkler, Mathematical Models and Methods in Applied Sciences 32 (2022) 137–173.
LibreCat | DOI
 
[17]
2022 | Journal Article | LibreCat-ID: 34677
Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation
T. Black, C. Wu, Calculus of Variations and Partial Differential Equations 61 (2022).
LibreCat | DOI
 
[16]
2021 | Journal Article | LibreCat-ID: 34673
Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems
T. Black, M. Fuest, J. Lankeit, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
LibreCat | DOI
 
[15]
2021 | Journal Article | LibreCat-ID: 34675
Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation
T. Black, C. Wu, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
LibreCat | DOI
 
[14]
2020 | Journal Article | LibreCat-ID: 34670
Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties
T. Black, Mathematical Models and Methods in Applied Sciences 30 (2020) 1075–1117.
LibreCat | DOI
 
[13]
2019 | Journal Article | LibreCat-ID: 34672
Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity
T. Black, Discrete & Continuous Dynamical Systems - S 13 (2019) 119–137.
LibreCat | DOI
 
[12]
2019 | Journal Article | LibreCat-ID: 34669
The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System
T. Black, Journal of Mathematical Fluid Mechanics 22 (2019).
LibreCat | DOI
 
[11]
2019 | Journal Article | LibreCat-ID: 34668
A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions
T. Black, J. Lankeit, M. Mizukami, Mathematical Methods in the Applied Sciences 42 (2019) 3002–3020.
LibreCat | DOI
 
[10]
2019 | Journal Article | LibreCat-ID: 34671
Stabilization in the Keller–Segel system with signal-dependent sensitivity
T. Black, J. Lankeit, M. Mizukami, Applicable Analysis 99 (2019) 2877–2891.
LibreCat | DOI
 
[9]
2018 | Journal Article | LibreCat-ID: 34664
Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion
T. Black, SIAM Journal on Mathematical Analysis 50 (2018) 4087–4116.
LibreCat | DOI
 
[8]
2018 | Journal Article | LibreCat-ID: 34666
Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D
T. Black, Journal of Differential Equations 265 (2018) 2296–2339.
LibreCat | DOI
 
[7]
2018 | Journal Article | LibreCat-ID: 34667
Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions
T. Black, Nonlinear Analysis 180 (2018) 129–153.
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 34663
Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals
T. Black, Discrete & Continuous Dynamical Systems - B 22 (2017) 1253–1272.
LibreCat | DOI
 
[5]
2017 | Journal Article | LibreCat-ID: 34665
Singular sensitivity in a Keller–Segel-fluid system
T. Black, J. Lankeit, M. Mizukami, Journal of Evolution Equations 18 (2017) 561–581.
LibreCat | DOI
 
[4]
2016 | Journal Article | LibreCat-ID: 34660
On the weakly competitive case in a two-species chemotaxis model
T. Black, J. Lankeit, M. Mizukami, IMA Journal of Applied Mathematics 81 (2016) 860–876.
LibreCat | DOI
 
[3]
2016 | Journal Article | LibreCat-ID: 34662
Boundedness in a Keller–Segel system with external signal production
T. Black, Journal of Mathematical Analysis and Applications 446 (2016) 436–455.
LibreCat | DOI
 
[2]
2016 | Journal Article | LibreCat-ID: 34659
Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant
T. Black, Nonlinearity 29 (2016) 1865–1886.
LibreCat | DOI
 
[1]
2016 | Journal Article | LibreCat-ID: 34661
Sublinear signal production in a two-dimensional Keller–Segel–Stokes system
T. Black, Nonlinear Analysis: Real World Applications 31 (2016) 593–609.
LibreCat | DOI
 
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