Absence of dead-core formations in chemotaxis systems with degenerate diffusion
T. Black, Applied Mathematics Letters 161 (2025).

Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system
T. Black, Journal of Differential Equations 443 (2025).

A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions
L. Claes, J. Lankeit, M. Winkler, Mathematical Models and Methods in Applied Sciences 35 (2025) 2465–2512.

Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source
T. Black, M. Fuest, J. Lankeit, M. Mizukami, Nonlinear Analysis: Real World Applications 73 (2023).

Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary
J. Lankeit, M. Winkler, Nonlinearity 35 (2022) 719–749.

Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.
M. Winkler, Communications in Mathematical Physics 389 (2022) 439–489.

A family of mass-critical Keller-Segel systems.
M. Winkler, Proceedings of the London Mathematical Society 124 (2022) 133–181.

Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.
K.  Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42 (2022) 5201–5222.

Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.
N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models &; Methods in Applied Sciences 32 (2022) 713–792.

Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects.
J. Lankeit, M. Winkler, Journal of Evolution Equations 22 (2022).

A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.
J. Fuhrmann, J. Lankeit, M. Winkler, Journal de Mathématiques Pures et Appliquées 162 (2022) 124–151.

A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.
Y. Wang, M. Winkler, Z. Xiang, Acta Mathematica Sinica (English Series) 38 (2022) 985–1001.

Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.
Y. Wang, M. Winkler, Z. Xiang, Analysis and Applications 20 (2022) 141–170.

Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy.
Y. Tao, M. Winkler, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152 (2022) 81–101.

Nonnegative solutions to a doubly degenerate nutrient taxis system 
G. Li, M. Winkler, Communications on Pure and Applied Analysis 21 (2022) 687–784.

Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation
T. Black, C. Wu, Calculus of Variations and Partial Differential Equations 61 (2022).

Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).

Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?
M. Winkler, International Mathematics Research Notices 2021 (2021) 8106–8152.

Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.
M. Winkler, Applied Mathematics Letters 112 (2021) 106785.

Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.
M. Winkler, Transactions of the American Mathematical Society 374 (2021) 219–268.