@article{63621,
  author       = {{Black, Tobias}},
  issn         = {{0373-3114}},
  journal      = {{Annali di Matematica Pura ed Applicata (1923 -)}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Refining Hölder regularity theory in degenerate drift-diffusion equations}}},
  doi          = {{10.1007/s10231-025-01642-4}},
  year         = {{2026}},
}

@article{63672,
  author       = {{Black, Tobias and Kohatsu, Shohei and Wu, Duan}},
  issn         = {{1424-3199}},
  journal      = {{Journal of Evolution Equations}},
  number       = {{1}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Global solvability and large-time behavior in a doubly degenerate migration model involving saturated signal consumption}}},
  doi          = {{10.1007/s00028-025-01163-w}},
  volume       = {{26}},
  year         = {{2026}},
}

@article{56960,
  author       = {{Black, Tobias}},
  issn         = {{0893-9659}},
  journal      = {{Applied Mathematics Letters}},
  publisher    = {{Elsevier BV}},
  title        = {{{Absence of dead-core formations in chemotaxis systems with degenerate diffusion}}},
  doi          = {{10.1016/j.aml.2024.109361}},
  volume       = {{161}},
  year         = {{2025}},
}

@article{60205,
  author       = {{Black, Tobias}},
  issn         = {{0022-0396}},
  journal      = {{Journal of Differential Equations}},
  publisher    = {{Elsevier BV}},
  title        = {{{Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system}}},
  doi          = {{10.1016/j.jde.2025.113555}},
  volume       = {{443}},
  year         = {{2025}},
}

@article{43105,
  author       = {{Black, Tobias and Fuest, Mario and Lankeit, Johannes and Mizukami, Masaaki}},
  issn         = {{1468-1218}},
  journal      = {{Nonlinear Analysis: Real World Applications}},
  keywords     = {{Applied Mathematics, Computational Mathematics, General Economics, Econometrics and Finance, General Engineering, General Medicine, Analysis}},
  publisher    = {{Elsevier BV}},
  title        = {{{Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source}}},
  doi          = {{10.1016/j.nonrwa.2023.103868}},
  volume       = {{73}},
  year         = {{2023}},
}

@article{34677,
  author       = {{Black, Tobias and Wu, Chunyan}},
  issn         = {{0944-2669}},
  journal      = {{Calculus of Variations and Partial Differential Equations}},
  keywords     = {{Applied Mathematics, Analysis}},
  number       = {{3}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation}}},
  doi          = {{10.1007/s00526-022-02201-y}},
  volume       = {{61}},
  year         = {{2022}},
}

@article{34673,
  author       = {{Black, Tobias and Fuest, Mario and Lankeit, Johannes}},
  issn         = {{0044-2275}},
  journal      = {{Zeitschrift für angewandte Mathematik und Physik}},
  keywords     = {{Applied Mathematics, General Physics and Astronomy, General Mathematics}},
  number       = {{3}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems}}},
  doi          = {{10.1007/s00033-021-01524-8}},
  volume       = {{72}},
  year         = {{2021}},
}

@article{34675,
  author       = {{Black, Tobias and Wu, Chunyan}},
  issn         = {{0044-2275}},
  journal      = {{Zeitschrift für angewandte Mathematik und Physik}},
  keywords     = {{Applied Mathematics, General Physics and Astronomy, General Mathematics}},
  number       = {{4}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation}}},
  doi          = {{10.1007/s00033-021-01565-z}},
  volume       = {{72}},
  year         = {{2021}},
}

@article{63291,
  abstract     = {{<jats:p> An initial-boundary value problem for a coupled chemotaxis-Navier–Stokes model with porous medium type diffusion is considered. Previous related literature has provided profound knowledge in cases when the system is augmented with no-flux/no-flux/no-slip boundary conditions for the density of cells, the chemical concentration and the fluid velocity field, respectively; in particular, available qualitative results strongly indicate that only trivial solution behavior can be expected on large time scales. In line with refined modeling approaches to oxygen evolution near fluid-air interfaces, this study now focuses on situations involving a fixed chemoattractant concentration on the boundary. Despite an apparent loss of mathematically favorable energy structures thereby induced, by means of an alternative variational approach a basic theory of global existence is developed in a natural framework of weak solvability. Beyond this, some additional qualitative information on the large time behavior of these solutions is derived by identifying a certain global relaxation property. Specifically, a second result asserts, within a suitable topological setting, the existence of a bounded set which eventually absorbs each individual of the obtained trajectories, and the diameter of which is bounded only by the physically relevant quantities of total population size and prescribed boundary concentration of the chemical signal. </jats:p>}},
  author       = {{Black, Tobias and Winkler, Michael}},
  issn         = {{0218-2025}},
  journal      = {{Mathematical Models and Methods in Applied Sciences}},
  number       = {{01}},
  pages        = {{137--173}},
  publisher    = {{World Scientific Pub Co Pte Ltd}},
  title        = {{{Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary}}},
  doi          = {{10.1142/s021820252250004x}},
  volume       = {{32}},
  year         = {{2021}},
}

@article{34670,
  author       = {{Black, Tobias}},
  issn         = {{0218-2025}},
  journal      = {{Mathematical Models and Methods in Applied Sciences}},
  keywords     = {{Applied Mathematics, Modeling and Simulation}},
  number       = {{06}},
  pages        = {{1075--1117}},
  publisher    = {{World Scientific Pub Co Pte Lt}},
  title        = {{{Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties}}},
  doi          = {{10.1142/s0218202520400072}},
  volume       = {{30}},
  year         = {{2020}},
}

@article{34672,
  author       = {{Black, Tobias}},
  issn         = {{1937-1179}},
  journal      = {{Discrete &amp; Continuous Dynamical Systems - S}},
  keywords     = {{Applied Mathematics, Discrete Mathematics and Combinatorics, Analysis}},
  number       = {{2}},
  pages        = {{119--137}},
  publisher    = {{American Institute of Mathematical Sciences (AIMS)}},
  title        = {{{Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity}}},
  doi          = {{10.3934/dcdss.2020007}},
  volume       = {{13}},
  year         = {{2019}},
}

@article{34669,
  author       = {{Black, Tobias}},
  issn         = {{1422-6928}},
  journal      = {{Journal of Mathematical Fluid Mechanics}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Condensed Matter Physics, Mathematical Physics}},
  number       = {{1}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System}}},
  doi          = {{10.1007/s00021-019-0464-z}},
  volume       = {{22}},
  year         = {{2019}},
}

@article{34668,
  author       = {{Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}},
  issn         = {{0170-4214}},
  journal      = {{Mathematical Methods in the Applied Sciences}},
  keywords     = {{General Engineering, General Mathematics}},
  number       = {{9}},
  pages        = {{3002--3020}},
  publisher    = {{Wiley}},
  title        = {{{A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions}}},
  doi          = {{10.1002/mma.5561}},
  volume       = {{42}},
  year         = {{2019}},
}

@article{34671,
  author       = {{Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}},
  issn         = {{0003-6811}},
  journal      = {{Applicable Analysis}},
  keywords     = {{Applied Mathematics, Analysis}},
  number       = {{16}},
  pages        = {{2877--2891}},
  publisher    = {{Informa UK Limited}},
  title        = {{{Stabilization in the Keller–Segel system with signal-dependent sensitivity}}},
  doi          = {{10.1080/00036811.2019.1585534}},
  volume       = {{99}},
  year         = {{2019}},
}

@article{34664,
  author       = {{Black, Tobias}},
  issn         = {{0036-1410}},
  journal      = {{SIAM Journal on Mathematical Analysis}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Analysis}},
  number       = {{4}},
  pages        = {{4087--4116}},
  publisher    = {{Society for Industrial & Applied Mathematics (SIAM)}},
  title        = {{{Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion}}},
  doi          = {{10.1137/17m1159488}},
  volume       = {{50}},
  year         = {{2018}},
}

@article{34666,
  author       = {{Black, Tobias}},
  issn         = {{0022-0396}},
  journal      = {{Journal of Differential Equations}},
  keywords     = {{Analysis, Applied Mathematics}},
  number       = {{5}},
  pages        = {{2296--2339}},
  publisher    = {{Elsevier BV}},
  title        = {{{Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D}}},
  doi          = {{10.1016/j.jde.2018.04.035}},
  volume       = {{265}},
  year         = {{2018}},
}

@article{34667,
  author       = {{Black, Tobias}},
  issn         = {{0362-546X}},
  journal      = {{Nonlinear Analysis}},
  keywords     = {{Applied Mathematics, Analysis}},
  pages        = {{129--153}},
  publisher    = {{Elsevier BV}},
  title        = {{{Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions}}},
  doi          = {{10.1016/j.na.2018.10.003}},
  volume       = {{180}},
  year         = {{2018}},
}

@article{34663,
  author       = {{Black, Tobias}},
  issn         = {{1553-524X}},
  journal      = {{Discrete &amp; Continuous Dynamical Systems - B}},
  keywords     = {{Applied Mathematics, Discrete Mathematics and Combinatorics}},
  number       = {{4}},
  pages        = {{1253--1272}},
  publisher    = {{American Institute of Mathematical Sciences (AIMS)}},
  title        = {{{Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals}}},
  doi          = {{10.3934/dcdsb.2017061}},
  volume       = {{22}},
  year         = {{2017}},
}

@article{34665,
  author       = {{Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}},
  issn         = {{1424-3199}},
  journal      = {{Journal of Evolution Equations}},
  keywords     = {{Mathematics (miscellaneous)}},
  number       = {{2}},
  pages        = {{561--581}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Singular sensitivity in a Keller–Segel-fluid system}}},
  doi          = {{10.1007/s00028-017-0411-5}},
  volume       = {{18}},
  year         = {{2017}},
}

@article{34660,
  author       = {{Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}},
  issn         = {{0272-4960}},
  journal      = {{IMA Journal of Applied Mathematics}},
  keywords     = {{Applied Mathematics}},
  number       = {{5}},
  pages        = {{860--876}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{On the weakly competitive case in a two-species chemotaxis model}}},
  doi          = {{10.1093/imamat/hxw036}},
  volume       = {{81}},
  year         = {{2016}},
}