A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions
L. Claes, J. Lankeit, M. Winkler, A Model for Heat Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions, Cornell University, 2024.

Le blow-up in the Jordan-Moore-Gibson-Thompson equation
V. Nikoli, M. Winkler, Nonlinear Analysis 247 (2024).

Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar.
M. Winkler, Calculus of Variations and Partial Differential Equations 61 (2022).

Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings.
M. Winkler, Advanced Nonlinear Studies 22 (2022) 88–117.

Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments.
M. Winkler, Nonlinear Analysis: Real World Applications 63 (2022).

A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^fty$ estimates for taxis gradients.
M. Winkler, Mathematische Nachrichten 295 (2022) 1840–1862.

Oscillatory decay in a degenerate parabolic equation.
M. Winkler, Partial Differential Equations and Applications 3 (2022).

A critical blow-up exponent for flux limitation in a Keller-Segel system
M. Winkler, Indiana University Mathematics Journal 7 (2022) 1437–1465.

Unlimited growth in logarithmic Keller-Segel systems
M. Winkler, Journal of Differential Equations 309 (2022) 74–97.

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 and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary
T. Black, M. Winkler, Mathematical Models and Methods in Applied Sciences 32 (2022) 137–173.

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.

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.

Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system
Y. Tao, M. Winkler, SIAM Journal on Mathematical Analysis 54 (2022) 4806–4864.

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