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
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.
LibreCat | DOI
 
[18]
2022 | Journal Article | LibreCat-ID: 34676
Black, Tobias, and Michael Winkler. “Global Weak Solutions and Absorbing Sets in a Chemotaxis-Navier–Stokes System with Prescribed Signal Concentration on the Boundary.” Mathematical Models and Methods in Applied Sciences 32, no. 01 (2022): 137–73. https://doi.org/10.1142/s021820252250004x.
LibreCat | DOI
 
[17]
2022 | Journal Article | LibreCat-ID: 34677
Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic Proliferation.” Calculus of Variations and Partial Differential Equations 61, no. 3 (2022). https://doi.org/10.1007/s00526-022-02201-y.
LibreCat | DOI
 
[16]
2021 | Journal Article | LibreCat-ID: 34673
Black, Tobias, Mario Fuest, and Johannes Lankeit. “Relaxed Parameter Conditions for Chemotactic Collapse in Logistic-Type Parabolic–Elliptic Keller–Segel Systems.” Zeitschrift Für Angewandte Mathematik Und Physik 72, no. 3 (2021). https://doi.org/10.1007/s00033-021-01524-8.
LibreCat | DOI
 
[15]
2021 | Journal Article | LibreCat-ID: 34675
Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Weak Solvability in a Chemotaxis-Stokes System with Proliferation.” Zeitschrift Für Angewandte Mathematik Und Physik 72, no. 4 (2021). https://doi.org/10.1007/s00033-021-01565-z.
LibreCat | DOI
 
[14]
2020 | Journal Article | LibreCat-ID: 34670
Black, Tobias. “Global Generalized Solutions to a Forager–Exploiter Model with Superlinear Degradation and Their Eventual Regularity Properties.” Mathematical Models and Methods in Applied Sciences 30, no. 06 (2020): 1075–1117. https://doi.org/10.1142/s0218202520400072.
LibreCat | DOI
 
[13]
2019 | Journal Article | LibreCat-ID: 34672
Black, Tobias. “Global Generalized Solutions to a Parabolic-Elliptic Keller-Segel System with Singular Sensitivity.” Discrete & Continuous Dynamical Systems - S 13, no. 2 (2019): 119–37. https://doi.org/10.3934/dcdss.2020007.
LibreCat | DOI
 
[12]
2019 | Journal Article | LibreCat-ID: 34669
Black, Tobias. “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System.” Journal of Mathematical Fluid Mechanics 22, no. 1 (2019). https://doi.org/10.1007/s00021-019-0464-z.
LibreCat | DOI
 
[11]
2019 | Journal Article | LibreCat-ID: 34668
Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “A Keller‐Segel‐fluid System with Singular Sensitivity: Generalized Solutions.” Mathematical Methods in the Applied Sciences 42, no. 9 (2019): 3002–20. https://doi.org/10.1002/mma.5561.
LibreCat | DOI
 
[10]
2019 | Journal Article | LibreCat-ID: 34671
Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “Stabilization in the Keller–Segel System with Signal-Dependent Sensitivity.” Applicable Analysis 99, no. 16 (2019): 2877–91. https://doi.org/10.1080/00036811.2019.1585534.
LibreCat | DOI
 
[9]
2018 | Journal Article | LibreCat-ID: 34664
Black, Tobias. “Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion.” SIAM Journal on Mathematical Analysis 50, no. 4 (2018): 4087–4116. https://doi.org/10.1137/17m1159488.
LibreCat | DOI
 
[8]
2018 | Journal Article | LibreCat-ID: 34666
Black, Tobias. “Eventual Smoothness of Generalized Solutions to a Singular Chemotaxis-Stokes System in 2D.” Journal of Differential Equations 265, no. 5 (2018): 2296–2339. https://doi.org/10.1016/j.jde.2018.04.035.
LibreCat | DOI
 
[7]
2018 | Journal Article | LibreCat-ID: 34667
Black, Tobias. “Global Solvability of Chemotaxis–Fluid Systems with Nonlinear Diffusion and Matrix-Valued Sensitivities in Three Dimensions.” Nonlinear Analysis 180 (2018): 129–53. https://doi.org/10.1016/j.na.2018.10.003.
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 34663
Black, Tobias. “Global Existence and Asymptotic Stability in a Competitive Two-Species Chemotaxis System with Two Signals.” Discrete & Continuous Dynamical Systems - B 22, no. 4 (2017): 1253–72. https://doi.org/10.3934/dcdsb.2017061.
LibreCat | DOI
 
[5]
2017 | Journal Article | LibreCat-ID: 34665
Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “Singular Sensitivity in a Keller–Segel-Fluid System.” Journal of Evolution Equations 18, no. 2 (2017): 561–81. https://doi.org/10.1007/s00028-017-0411-5.
LibreCat | DOI
 
[4]
2016 | Journal Article | LibreCat-ID: 34660
Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “On the Weakly Competitive Case in a Two-Species Chemotaxis Model.” IMA Journal of Applied Mathematics 81, no. 5 (2016): 860–76. https://doi.org/10.1093/imamat/hxw036.
LibreCat | DOI
 
[3]
2016 | Journal Article | LibreCat-ID: 34662
Black, Tobias. “Boundedness in a Keller–Segel System with External Signal Production.” Journal of Mathematical Analysis and Applications 446, no. 1 (2016): 436–55. https://doi.org/10.1016/j.jmaa.2016.08.049.
LibreCat | DOI
 
[2]
2016 | Journal Article | LibreCat-ID: 34659
Black, Tobias. “Blow-up of Weak Solutions to a Chemotaxis System under Influence of an External Chemoattractant.” Nonlinearity 29, no. 6 (2016): 1865–86. https://doi.org/10.1088/0951-7715/29/6/1865.
LibreCat | DOI
 
[1]
2016 | Journal Article | LibreCat-ID: 34661
Black, Tobias. “Sublinear Signal Production in a Two-Dimensional Keller–Segel–Stokes System.” Nonlinear Analysis: Real World Applications 31 (2016): 593–609. https://doi.org/10.1016/j.nonrwa.2016.03.008.
LibreCat | DOI
 
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19 Publications

Mark all

[19]
2023 | Journal Article | LibreCat-ID: 43105
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.
LibreCat | DOI
 
[18]
2022 | Journal Article | LibreCat-ID: 34676
Black, Tobias, and Michael Winkler. “Global Weak Solutions and Absorbing Sets in a Chemotaxis-Navier–Stokes System with Prescribed Signal Concentration on the Boundary.” Mathematical Models and Methods in Applied Sciences 32, no. 01 (2022): 137–73. https://doi.org/10.1142/s021820252250004x.
LibreCat | DOI
 
[17]
2022 | Journal Article | LibreCat-ID: 34677
Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic Proliferation.” Calculus of Variations and Partial Differential Equations 61, no. 3 (2022). https://doi.org/10.1007/s00526-022-02201-y.
LibreCat | DOI
 
[16]
2021 | Journal Article | LibreCat-ID: 34673
Black, Tobias, Mario Fuest, and Johannes Lankeit. “Relaxed Parameter Conditions for Chemotactic Collapse in Logistic-Type Parabolic–Elliptic Keller–Segel Systems.” Zeitschrift Für Angewandte Mathematik Und Physik 72, no. 3 (2021). https://doi.org/10.1007/s00033-021-01524-8.
LibreCat | DOI
 
[15]
2021 | Journal Article | LibreCat-ID: 34675
Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Weak Solvability in a Chemotaxis-Stokes System with Proliferation.” Zeitschrift Für Angewandte Mathematik Und Physik 72, no. 4 (2021). https://doi.org/10.1007/s00033-021-01565-z.
LibreCat | DOI
 
[14]
2020 | Journal Article | LibreCat-ID: 34670
Black, Tobias. “Global Generalized Solutions to a Forager–Exploiter Model with Superlinear Degradation and Their Eventual Regularity Properties.” Mathematical Models and Methods in Applied Sciences 30, no. 06 (2020): 1075–1117. https://doi.org/10.1142/s0218202520400072.
LibreCat | DOI
 
[13]
2019 | Journal Article | LibreCat-ID: 34672
Black, Tobias. “Global Generalized Solutions to a Parabolic-Elliptic Keller-Segel System with Singular Sensitivity.” Discrete & Continuous Dynamical Systems - S 13, no. 2 (2019): 119–37. https://doi.org/10.3934/dcdss.2020007.
LibreCat | DOI
 
[12]
2019 | Journal Article | LibreCat-ID: 34669
Black, Tobias. “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System.” Journal of Mathematical Fluid Mechanics 22, no. 1 (2019). https://doi.org/10.1007/s00021-019-0464-z.
LibreCat | DOI
 
[11]
2019 | Journal Article | LibreCat-ID: 34668
Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “A Keller‐Segel‐fluid System with Singular Sensitivity: Generalized Solutions.” Mathematical Methods in the Applied Sciences 42, no. 9 (2019): 3002–20. https://doi.org/10.1002/mma.5561.
LibreCat | DOI
 
[10]
2019 | Journal Article | LibreCat-ID: 34671
Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “Stabilization in the Keller–Segel System with Signal-Dependent Sensitivity.” Applicable Analysis 99, no. 16 (2019): 2877–91. https://doi.org/10.1080/00036811.2019.1585534.
LibreCat | DOI
 
[9]
2018 | Journal Article | LibreCat-ID: 34664
Black, Tobias. “Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion.” SIAM Journal on Mathematical Analysis 50, no. 4 (2018): 4087–4116. https://doi.org/10.1137/17m1159488.
LibreCat | DOI
 
[8]
2018 | Journal Article | LibreCat-ID: 34666
Black, Tobias. “Eventual Smoothness of Generalized Solutions to a Singular Chemotaxis-Stokes System in 2D.” Journal of Differential Equations 265, no. 5 (2018): 2296–2339. https://doi.org/10.1016/j.jde.2018.04.035.
LibreCat | DOI
 
[7]
2018 | Journal Article | LibreCat-ID: 34667
Black, Tobias. “Global Solvability of Chemotaxis–Fluid Systems with Nonlinear Diffusion and Matrix-Valued Sensitivities in Three Dimensions.” Nonlinear Analysis 180 (2018): 129–53. https://doi.org/10.1016/j.na.2018.10.003.
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 34663
Black, Tobias. “Global Existence and Asymptotic Stability in a Competitive Two-Species Chemotaxis System with Two Signals.” Discrete & Continuous Dynamical Systems - B 22, no. 4 (2017): 1253–72. https://doi.org/10.3934/dcdsb.2017061.
LibreCat | DOI
 
[5]
2017 | Journal Article | LibreCat-ID: 34665
Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “Singular Sensitivity in a Keller–Segel-Fluid System.” Journal of Evolution Equations 18, no. 2 (2017): 561–81. https://doi.org/10.1007/s00028-017-0411-5.
LibreCat | DOI
 
[4]
2016 | Journal Article | LibreCat-ID: 34660
Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “On the Weakly Competitive Case in a Two-Species Chemotaxis Model.” IMA Journal of Applied Mathematics 81, no. 5 (2016): 860–76. https://doi.org/10.1093/imamat/hxw036.
LibreCat | DOI
 
[3]
2016 | Journal Article | LibreCat-ID: 34662
Black, Tobias. “Boundedness in a Keller–Segel System with External Signal Production.” Journal of Mathematical Analysis and Applications 446, no. 1 (2016): 436–55. https://doi.org/10.1016/j.jmaa.2016.08.049.
LibreCat | DOI
 
[2]
2016 | Journal Article | LibreCat-ID: 34659
Black, Tobias. “Blow-up of Weak Solutions to a Chemotaxis System under Influence of an External Chemoattractant.” Nonlinearity 29, no. 6 (2016): 1865–86. https://doi.org/10.1088/0951-7715/29/6/1865.
LibreCat | DOI
 
[1]
2016 | Journal Article | LibreCat-ID: 34661
Black, Tobias. “Sublinear Signal Production in a Two-Dimensional Keller–Segel–Stokes System.” Nonlinear Analysis: Real World Applications 31 (2016): 593–609. https://doi.org/10.1016/j.nonrwa.2016.03.008.
LibreCat | DOI
 
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Citation Style: Chicago

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