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
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.
LibreCat | DOI
 
[18]
2022 | Journal Article | LibreCat-ID: 34676
T. Black and M. 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, vol. 32, no. 01, pp. 137–173, 2022, doi: 10.1142/s021820252250004x.
LibreCat | DOI
 
[17]
2022 | Journal Article | LibreCat-ID: 34677
T. Black and C. 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, vol. 61, no. 3, Art. no. 96, 2022, doi: 10.1007/s00526-022-02201-y.
LibreCat | DOI
 
[16]
2021 | Journal Article | LibreCat-ID: 34673
T. Black, M. Fuest, and J. Lankeit, “Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems,” Zeitschrift für angewandte Mathematik und Physik, vol. 72, no. 3, Art. no. 96, 2021, doi: 10.1007/s00033-021-01524-8.
LibreCat | DOI
 
[15]
2021 | Journal Article | LibreCat-ID: 34675
T. Black and C. Wu, “Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation,” Zeitschrift für angewandte Mathematik und Physik, vol. 72, no. 4, Art. no. 135, 2021, doi: 10.1007/s00033-021-01565-z.
LibreCat | DOI
 
[14]
2020 | Journal Article | LibreCat-ID: 34670
T. Black, “Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties,” Mathematical Models and Methods in Applied Sciences, vol. 30, no. 06, pp. 1075–1117, 2020, doi: 10.1142/s0218202520400072.
LibreCat | DOI
 
[13]
2019 | Journal Article | LibreCat-ID: 34672
T. Black, “Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity,” Discrete & Continuous Dynamical Systems - S, vol. 13, no. 2, pp. 119–137, 2019, doi: 10.3934/dcdss.2020007.
LibreCat | DOI
 
[12]
2019 | Journal Article | LibreCat-ID: 34669
T. Black, “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System,” Journal of Mathematical Fluid Mechanics, vol. 22, no. 1, Art. no. 1, 2019, doi: 10.1007/s00021-019-0464-z.
LibreCat | DOI
 
[11]
2019 | Journal Article | LibreCat-ID: 34668
T. Black, J. Lankeit, and M. Mizukami, “A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions,” Mathematical Methods in the Applied Sciences, vol. 42, no. 9, pp. 3002–3020, 2019, doi: 10.1002/mma.5561.
LibreCat | DOI
 
[10]
2019 | Journal Article | LibreCat-ID: 34671
T. Black, J. Lankeit, and M. Mizukami, “Stabilization in the Keller–Segel system with signal-dependent sensitivity,” Applicable Analysis, vol. 99, no. 16, pp. 2877–2891, 2019, doi: 10.1080/00036811.2019.1585534.
LibreCat | DOI
 
[9]
2018 | Journal Article | LibreCat-ID: 34664
T. Black, “Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion,” SIAM Journal on Mathematical Analysis, vol. 50, no. 4, pp. 4087–4116, 2018, doi: 10.1137/17m1159488.
LibreCat | DOI
 
[8]
2018 | Journal Article | LibreCat-ID: 34666
T. Black, “Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D,” Journal of Differential Equations, vol. 265, no. 5, pp. 2296–2339, 2018, doi: 10.1016/j.jde.2018.04.035.
LibreCat | DOI
 
[7]
2018 | Journal Article | LibreCat-ID: 34667
T. Black, “Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions,” Nonlinear Analysis, vol. 180, pp. 129–153, 2018, doi: 10.1016/j.na.2018.10.003.
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 34663
T. Black, “Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals,” Discrete & Continuous Dynamical Systems - B, vol. 22, no. 4, pp. 1253–1272, 2017, doi: 10.3934/dcdsb.2017061.
LibreCat | DOI
 
[5]
2017 | Journal Article | LibreCat-ID: 34665
T. Black, J. Lankeit, and M. Mizukami, “Singular sensitivity in a Keller–Segel-fluid system,” Journal of Evolution Equations, vol. 18, no. 2, pp. 561–581, 2017, doi: 10.1007/s00028-017-0411-5.
LibreCat | DOI
 
[4]
2016 | Journal Article | LibreCat-ID: 34660
T. Black, J. Lankeit, and M. Mizukami, “On the weakly competitive case in a two-species chemotaxis model,” IMA Journal of Applied Mathematics, vol. 81, no. 5, pp. 860–876, 2016, doi: 10.1093/imamat/hxw036.
LibreCat | DOI
 
[3]
2016 | Journal Article | LibreCat-ID: 34662
T. Black, “Boundedness in a Keller–Segel system with external signal production,” Journal of Mathematical Analysis and Applications, vol. 446, no. 1, pp. 436–455, 2016, doi: 10.1016/j.jmaa.2016.08.049.
LibreCat | DOI
 
[2]
2016 | Journal Article | LibreCat-ID: 34659
T. Black, “Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant,” Nonlinearity, vol. 29, no. 6, pp. 1865–1886, 2016, doi: 10.1088/0951-7715/29/6/1865.
LibreCat | DOI
 
[1]
2016 | Journal Article | LibreCat-ID: 34661
T. Black, “Sublinear signal production in a two-dimensional Keller–Segel–Stokes system,” Nonlinear Analysis: Real World Applications, vol. 31, pp. 593–609, 2016, doi: 10.1016/j.nonrwa.2016.03.008.
LibreCat | DOI
 
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19 Publications

Mark all

[19]
2023 | Journal Article | LibreCat-ID: 43105
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.
LibreCat | DOI
 
[18]
2022 | Journal Article | LibreCat-ID: 34676
T. Black and M. 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, vol. 32, no. 01, pp. 137–173, 2022, doi: 10.1142/s021820252250004x.
LibreCat | DOI
 
[17]
2022 | Journal Article | LibreCat-ID: 34677
T. Black and C. 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, vol. 61, no. 3, Art. no. 96, 2022, doi: 10.1007/s00526-022-02201-y.
LibreCat | DOI
 
[16]
2021 | Journal Article | LibreCat-ID: 34673
T. Black, M. Fuest, and J. Lankeit, “Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems,” Zeitschrift für angewandte Mathematik und Physik, vol. 72, no. 3, Art. no. 96, 2021, doi: 10.1007/s00033-021-01524-8.
LibreCat | DOI
 
[15]
2021 | Journal Article | LibreCat-ID: 34675
T. Black and C. Wu, “Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation,” Zeitschrift für angewandte Mathematik und Physik, vol. 72, no. 4, Art. no. 135, 2021, doi: 10.1007/s00033-021-01565-z.
LibreCat | DOI
 
[14]
2020 | Journal Article | LibreCat-ID: 34670
T. Black, “Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties,” Mathematical Models and Methods in Applied Sciences, vol. 30, no. 06, pp. 1075–1117, 2020, doi: 10.1142/s0218202520400072.
LibreCat | DOI
 
[13]
2019 | Journal Article | LibreCat-ID: 34672
T. Black, “Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity,” Discrete & Continuous Dynamical Systems - S, vol. 13, no. 2, pp. 119–137, 2019, doi: 10.3934/dcdss.2020007.
LibreCat | DOI
 
[12]
2019 | Journal Article | LibreCat-ID: 34669
T. Black, “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System,” Journal of Mathematical Fluid Mechanics, vol. 22, no. 1, Art. no. 1, 2019, doi: 10.1007/s00021-019-0464-z.
LibreCat | DOI
 
[11]
2019 | Journal Article | LibreCat-ID: 34668
T. Black, J. Lankeit, and M. Mizukami, “A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions,” Mathematical Methods in the Applied Sciences, vol. 42, no. 9, pp. 3002–3020, 2019, doi: 10.1002/mma.5561.
LibreCat | DOI
 
[10]
2019 | Journal Article | LibreCat-ID: 34671
T. Black, J. Lankeit, and M. Mizukami, “Stabilization in the Keller–Segel system with signal-dependent sensitivity,” Applicable Analysis, vol. 99, no. 16, pp. 2877–2891, 2019, doi: 10.1080/00036811.2019.1585534.
LibreCat | DOI
 
[9]
2018 | Journal Article | LibreCat-ID: 34664
T. Black, “Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion,” SIAM Journal on Mathematical Analysis, vol. 50, no. 4, pp. 4087–4116, 2018, doi: 10.1137/17m1159488.
LibreCat | DOI
 
[8]
2018 | Journal Article | LibreCat-ID: 34666
T. Black, “Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D,” Journal of Differential Equations, vol. 265, no. 5, pp. 2296–2339, 2018, doi: 10.1016/j.jde.2018.04.035.
LibreCat | DOI
 
[7]
2018 | Journal Article | LibreCat-ID: 34667
T. Black, “Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions,” Nonlinear Analysis, vol. 180, pp. 129–153, 2018, doi: 10.1016/j.na.2018.10.003.
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 34663
T. Black, “Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals,” Discrete & Continuous Dynamical Systems - B, vol. 22, no. 4, pp. 1253–1272, 2017, doi: 10.3934/dcdsb.2017061.
LibreCat | DOI
 
[5]
2017 | Journal Article | LibreCat-ID: 34665
T. Black, J. Lankeit, and M. Mizukami, “Singular sensitivity in a Keller–Segel-fluid system,” Journal of Evolution Equations, vol. 18, no. 2, pp. 561–581, 2017, doi: 10.1007/s00028-017-0411-5.
LibreCat | DOI
 
[4]
2016 | Journal Article | LibreCat-ID: 34660
T. Black, J. Lankeit, and M. Mizukami, “On the weakly competitive case in a two-species chemotaxis model,” IMA Journal of Applied Mathematics, vol. 81, no. 5, pp. 860–876, 2016, doi: 10.1093/imamat/hxw036.
LibreCat | DOI
 
[3]
2016 | Journal Article | LibreCat-ID: 34662
T. Black, “Boundedness in a Keller–Segel system with external signal production,” Journal of Mathematical Analysis and Applications, vol. 446, no. 1, pp. 436–455, 2016, doi: 10.1016/j.jmaa.2016.08.049.
LibreCat | DOI
 
[2]
2016 | Journal Article | LibreCat-ID: 34659
T. Black, “Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant,” Nonlinearity, vol. 29, no. 6, pp. 1865–1886, 2016, doi: 10.1088/0951-7715/29/6/1865.
LibreCat | DOI
 
[1]
2016 | Journal Article | LibreCat-ID: 34661
T. Black, “Sublinear signal production in a two-dimensional Keller–Segel–Stokes system,” Nonlinear Analysis: Real World Applications, vol. 31, pp. 593–609, 2016, doi: 10.1016/j.nonrwa.2016.03.008.
LibreCat | DOI
 
Marked Publication(s)

Search

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Citation Style: IEEE

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