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, 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
LibreCat | DOI
 
[18]
2022 | Journal Article | LibreCat-ID: 34676
Black, T., & Winkler, M. (2022). 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(01), 137–173. https://doi.org/10.1142/s021820252250004x
LibreCat | DOI
 
[17]
2022 | Journal Article | LibreCat-ID: 34677
Black, T., & Wu, C. (2022). 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(3), Article 96. https://doi.org/10.1007/s00526-022-02201-y
LibreCat | DOI
 
[16]
2021 | Journal Article | LibreCat-ID: 34673
Black, T., Fuest, M., & Lankeit, J. (2021). Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems. Zeitschrift Für Angewandte Mathematik Und Physik, 72(3), Article 96. https://doi.org/10.1007/s00033-021-01524-8
LibreCat | DOI
 
[15]
2021 | Journal Article | LibreCat-ID: 34675
Black, T., & Wu, C. (2021). Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation. Zeitschrift Für Angewandte Mathematik Und Physik, 72(4), Article 135. https://doi.org/10.1007/s00033-021-01565-z
LibreCat | DOI
 
[14]
2020 | Journal Article | LibreCat-ID: 34670
Black, T. (2020). Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties. Mathematical Models and Methods in Applied Sciences, 30(06), 1075–1117. https://doi.org/10.1142/s0218202520400072
LibreCat | DOI
 
[13]
2019 | Journal Article | LibreCat-ID: 34672
Black, T. (2019). Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity. Discrete & Continuous Dynamical Systems - S, 13(2), 119–137. https://doi.org/10.3934/dcdss.2020007
LibreCat | DOI
 
[12]
2019 | Journal Article | LibreCat-ID: 34669
Black, T. (2019). The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System. Journal of Mathematical Fluid Mechanics, 22(1), Article 1. https://doi.org/10.1007/s00021-019-0464-z
LibreCat | DOI
 
[11]
2019 | Journal Article | LibreCat-ID: 34668
Black, T., Lankeit, J., & Mizukami, M. (2019). A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions. Mathematical Methods in the Applied Sciences, 42(9), 3002–3020. https://doi.org/10.1002/mma.5561
LibreCat | DOI
 
[10]
2019 | Journal Article | LibreCat-ID: 34671
Black, T., Lankeit, J., & Mizukami, M. (2019). Stabilization in the Keller–Segel system with signal-dependent sensitivity. Applicable Analysis, 99(16), 2877–2891. https://doi.org/10.1080/00036811.2019.1585534
LibreCat | DOI
 
[9]
2018 | Journal Article | LibreCat-ID: 34664
Black, T. (2018). Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion. SIAM Journal on Mathematical Analysis, 50(4), 4087–4116. https://doi.org/10.1137/17m1159488
LibreCat | DOI
 
[8]
2018 | Journal Article | LibreCat-ID: 34666
Black, T. (2018). Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D. Journal of Differential Equations, 265(5), 2296–2339. https://doi.org/10.1016/j.jde.2018.04.035
LibreCat | DOI
 
[7]
2018 | Journal Article | LibreCat-ID: 34667
Black, T. (2018). Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions. Nonlinear Analysis, 180, 129–153. https://doi.org/10.1016/j.na.2018.10.003
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 34663
Black, T. (2017). Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. Discrete & Continuous Dynamical Systems - B, 22(4), 1253–1272. https://doi.org/10.3934/dcdsb.2017061
LibreCat | DOI
 
[5]
2017 | Journal Article | LibreCat-ID: 34665
Black, T., Lankeit, J., & Mizukami, M. (2017). Singular sensitivity in a Keller–Segel-fluid system. Journal of Evolution Equations, 18(2), 561–581. https://doi.org/10.1007/s00028-017-0411-5
LibreCat | DOI
 
[4]
2016 | Journal Article | LibreCat-ID: 34660
Black, T., Lankeit, J., & Mizukami, M. (2016). On the weakly competitive case in a two-species chemotaxis model. IMA Journal of Applied Mathematics, 81(5), 860–876. https://doi.org/10.1093/imamat/hxw036
LibreCat | DOI
 
[3]
2016 | Journal Article | LibreCat-ID: 34662
Black, T. (2016). Boundedness in a Keller–Segel system with external signal production. Journal of Mathematical Analysis and Applications, 446(1), 436–455. https://doi.org/10.1016/j.jmaa.2016.08.049
LibreCat | DOI
 
[2]
2016 | Journal Article | LibreCat-ID: 34659
Black, T. (2016). Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant. Nonlinearity, 29(6), 1865–1886. https://doi.org/10.1088/0951-7715/29/6/1865
LibreCat | DOI
 
[1]
2016 | Journal Article | LibreCat-ID: 34661
Black, T. (2016). Sublinear signal production in a two-dimensional Keller–Segel–Stokes system. Nonlinear Analysis: Real World Applications, 31, 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, 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
LibreCat | DOI
 
[18]
2022 | Journal Article | LibreCat-ID: 34676
Black, T., & Winkler, M. (2022). 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(01), 137–173. https://doi.org/10.1142/s021820252250004x
LibreCat | DOI
 
[17]
2022 | Journal Article | LibreCat-ID: 34677
Black, T., & Wu, C. (2022). 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(3), Article 96. https://doi.org/10.1007/s00526-022-02201-y
LibreCat | DOI
 
[16]
2021 | Journal Article | LibreCat-ID: 34673
Black, T., Fuest, M., & Lankeit, J. (2021). Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems. Zeitschrift Für Angewandte Mathematik Und Physik, 72(3), Article 96. https://doi.org/10.1007/s00033-021-01524-8
LibreCat | DOI
 
[15]
2021 | Journal Article | LibreCat-ID: 34675
Black, T., & Wu, C. (2021). Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation. Zeitschrift Für Angewandte Mathematik Und Physik, 72(4), Article 135. https://doi.org/10.1007/s00033-021-01565-z
LibreCat | DOI
 
[14]
2020 | Journal Article | LibreCat-ID: 34670
Black, T. (2020). Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties. Mathematical Models and Methods in Applied Sciences, 30(06), 1075–1117. https://doi.org/10.1142/s0218202520400072
LibreCat | DOI
 
[13]
2019 | Journal Article | LibreCat-ID: 34672
Black, T. (2019). Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity. Discrete & Continuous Dynamical Systems - S, 13(2), 119–137. https://doi.org/10.3934/dcdss.2020007
LibreCat | DOI
 
[12]
2019 | Journal Article | LibreCat-ID: 34669
Black, T. (2019). The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System. Journal of Mathematical Fluid Mechanics, 22(1), Article 1. https://doi.org/10.1007/s00021-019-0464-z
LibreCat | DOI
 
[11]
2019 | Journal Article | LibreCat-ID: 34668
Black, T., Lankeit, J., & Mizukami, M. (2019). A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions. Mathematical Methods in the Applied Sciences, 42(9), 3002–3020. https://doi.org/10.1002/mma.5561
LibreCat | DOI
 
[10]
2019 | Journal Article | LibreCat-ID: 34671
Black, T., Lankeit, J., & Mizukami, M. (2019). Stabilization in the Keller–Segel system with signal-dependent sensitivity. Applicable Analysis, 99(16), 2877–2891. https://doi.org/10.1080/00036811.2019.1585534
LibreCat | DOI
 
[9]
2018 | Journal Article | LibreCat-ID: 34664
Black, T. (2018). Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion. SIAM Journal on Mathematical Analysis, 50(4), 4087–4116. https://doi.org/10.1137/17m1159488
LibreCat | DOI
 
[8]
2018 | Journal Article | LibreCat-ID: 34666
Black, T. (2018). Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D. Journal of Differential Equations, 265(5), 2296–2339. https://doi.org/10.1016/j.jde.2018.04.035
LibreCat | DOI
 
[7]
2018 | Journal Article | LibreCat-ID: 34667
Black, T. (2018). Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions. Nonlinear Analysis, 180, 129–153. https://doi.org/10.1016/j.na.2018.10.003
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 34663
Black, T. (2017). Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. Discrete & Continuous Dynamical Systems - B, 22(4), 1253–1272. https://doi.org/10.3934/dcdsb.2017061
LibreCat | DOI
 
[5]
2017 | Journal Article | LibreCat-ID: 34665
Black, T., Lankeit, J., & Mizukami, M. (2017). Singular sensitivity in a Keller–Segel-fluid system. Journal of Evolution Equations, 18(2), 561–581. https://doi.org/10.1007/s00028-017-0411-5
LibreCat | DOI
 
[4]
2016 | Journal Article | LibreCat-ID: 34660
Black, T., Lankeit, J., & Mizukami, M. (2016). On the weakly competitive case in a two-species chemotaxis model. IMA Journal of Applied Mathematics, 81(5), 860–876. https://doi.org/10.1093/imamat/hxw036
LibreCat | DOI
 
[3]
2016 | Journal Article | LibreCat-ID: 34662
Black, T. (2016). Boundedness in a Keller–Segel system with external signal production. Journal of Mathematical Analysis and Applications, 446(1), 436–455. https://doi.org/10.1016/j.jmaa.2016.08.049
LibreCat | DOI
 
[2]
2016 | Journal Article | LibreCat-ID: 34659
Black, T. (2016). Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant. Nonlinearity, 29(6), 1865–1886. https://doi.org/10.1088/0951-7715/29/6/1865
LibreCat | DOI
 
[1]
2016 | Journal Article | LibreCat-ID: 34661
Black, T. (2016). Sublinear signal production in a two-dimensional Keller–Segel–Stokes system. Nonlinear Analysis: Real World Applications, 31, 593–609. https://doi.org/10.1016/j.nonrwa.2016.03.008
LibreCat | DOI
 
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Search

Filter Publications

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Citation Style: APA

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