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19 Publications
2023 | Journal Article | LibreCat-ID: 43105
@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} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 34676
@article{Black_Winkler_2022, title={Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary}, volume={32}, DOI={10.1142/s021820252250004x}, number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Black, Tobias and Winkler, Michael}, year={2022}, pages={137–173} }
LibreCat
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2022 | Journal Article | LibreCat-ID: 34677
@article{Black_Wu_2022, title={Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation}, volume={61}, DOI={10.1007/s00526-022-02201-y}, number={396}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Wu, Chunyan}, year={2022} }
LibreCat
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2021 | Journal Article | LibreCat-ID: 34673
@article{Black_Fuest_Lankeit_2021, title={Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems}, volume={72}, DOI={10.1007/s00033-021-01524-8}, number={396}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Fuest, Mario and Lankeit, Johannes}, year={2021} }
LibreCat
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2021 | Journal Article | LibreCat-ID: 34675
@article{Black_Wu_2021, title={Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation}, volume={72}, DOI={10.1007/s00033-021-01565-z}, number={4135}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Wu, Chunyan}, year={2021} }
LibreCat
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2020 | Journal Article | LibreCat-ID: 34670
@article{Black_2020, title={Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties}, volume={30}, DOI={10.1142/s0218202520400072}, number={06}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Lt}, author={Black, Tobias}, year={2020}, pages={1075–1117} }
LibreCat
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2019 | Journal Article | LibreCat-ID: 34672
@article{Black_2019, title={Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity}, volume={13}, DOI={10.3934/dcdss.2020007}, number={2}, journal={Discrete & Continuous Dynamical Systems - S}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Black, Tobias}, year={2019}, pages={119–137} }
LibreCat
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2019 | Journal Article | LibreCat-ID: 34669
@article{Black_2019, title={The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System}, volume={22}, DOI={10.1007/s00021-019-0464-z}, number={11}, journal={Journal of Mathematical Fluid Mechanics}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias}, year={2019} }
LibreCat
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2019 | Journal Article | LibreCat-ID: 34668
@article{Black_Lankeit_Mizukami_2019, title={A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions}, volume={42}, DOI={10.1002/mma.5561}, number={9}, journal={Mathematical Methods in the Applied Sciences}, publisher={Wiley}, author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2019}, pages={3002–3020} }
LibreCat
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2019 | Journal Article | LibreCat-ID: 34671
@article{Black_Lankeit_Mizukami_2019, title={Stabilization in the Keller–Segel system with signal-dependent sensitivity}, volume={99}, DOI={10.1080/00036811.2019.1585534}, number={16}, journal={Applicable Analysis}, publisher={Informa UK Limited}, author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2019}, pages={2877–2891} }
LibreCat
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2018 | Journal Article | LibreCat-ID: 34664
@article{Black_2018, title={Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion}, volume={50}, DOI={10.1137/17m1159488}, number={4}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Black, Tobias}, year={2018}, pages={4087–4116} }
LibreCat
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2018 | Journal Article | LibreCat-ID: 34666
@article{Black_2018, title={Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D}, volume={265}, DOI={10.1016/j.jde.2018.04.035}, number={5}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Black, Tobias}, year={2018}, pages={2296–2339} }
LibreCat
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2018 | Journal Article | LibreCat-ID: 34667
@article{Black_2018, title={Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions}, volume={180}, DOI={10.1016/j.na.2018.10.003}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Black, Tobias}, year={2018}, pages={129–153} }
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2017 | Journal Article | LibreCat-ID: 34663
@article{Black_2017, title={Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals}, volume={22}, DOI={10.3934/dcdsb.2017061}, number={4}, journal={Discrete & Continuous Dynamical Systems - B}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Black, Tobias}, year={2017}, pages={1253–1272} }
LibreCat
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2017 | Journal Article | LibreCat-ID: 34665
@article{Black_Lankeit_Mizukami_2017, title={Singular sensitivity in a Keller–Segel-fluid system}, volume={18}, DOI={10.1007/s00028-017-0411-5}, number={2}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2017}, pages={561–581} }
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2016 | Journal Article | LibreCat-ID: 34660
@article{Black_Lankeit_Mizukami_2016, title={On the weakly competitive case in a two-species chemotaxis model}, volume={81}, DOI={10.1093/imamat/hxw036}, number={5}, journal={IMA Journal of Applied Mathematics}, publisher={Oxford University Press (OUP)}, author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2016}, pages={860–876} }
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 34662
@article{Black_2016, title={Boundedness in a Keller–Segel system with external signal production}, volume={446}, DOI={10.1016/j.jmaa.2016.08.049}, number={1}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Black, Tobias}, year={2016}, pages={436–455} }
LibreCat
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2016 | Journal Article | LibreCat-ID: 34659
@article{Black_2016, title={Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant}, volume={29}, DOI={10.1088/0951-7715/29/6/1865}, number={6}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Black, Tobias}, year={2016}, pages={1865–1886} }
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 34661
@article{Black_2016, title={Sublinear signal production in a two-dimensional Keller–Segel–Stokes system}, volume={31}, DOI={10.1016/j.nonrwa.2016.03.008}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Black, Tobias}, year={2016}, pages={593–609} }
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