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.

Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 76 (2025).

Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities
M. Winkler, Journal of Evolution Equations 25 (2025).

Rough solutions in one-dimensional nonlinear thermoelasticity
M. Winkler, Calculus of Variations and Partial Differential Equations 65 (2025).

Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system
M. Winkler, Journal of the European Mathematical Society (2025).

A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production
Y. Tao, M. Winkler, Journal of Differential Equations 423 (2025) 197–239.

A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production
Y. Tao, M. Winkler, Science China Mathematics 68 (2025) 2867–2900.

Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters
M. Winkler, Applied Mathematics &;amp; Optimization 91 (2025).

Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation
C. Hanfland, M. Winkler, Journal of Elliptic and Parabolic Equations 11 (2025) 2041–2063.

Effects of degeneracies in taxis-driven evolution
M. Winkler, Mathematical Models and Methods in Applied Sciences 35 (2025) 283–343.

A degenerate migration-consumption model in domains of arbitrary dimension
M. Winkler, Advanced Nonlinear Studies 24 (2024) 592–615.

Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system
M. Winkler, Mathematische Annalen 391 (2024) 3023–3054.

Logarithmically refined Gagliardo–Nirenberg interpolation and application to blow-up exclusion in a singular chemotaxis–consumption system
M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire 42 (2024) 1601–1630.

A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects
C. Stinner, M. Winkler, Journal of Evolution Equations 24 (2024).

Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture
M. Ding, M. Winkler, Nonlinearity 37 (2024).

Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing
M. Fuest, M. Winkler, Journal of Mathematical Fluid Mechanics 26 (2024).

An interpolation inequality involving LlogL$Log L$ spaces and application to the characterization of blowup behavior in a twodimensional Keller–Segel–Navier–Stokes system
Y. Wang, M. Winkler, Journal of the London Mathematical Society 109 (2024).

Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor
Y. Tao, M. Winkler, Proceedings of the American Mathematical Society 152 (2024) 4325–4341.

<mml:math xmlns:mml="http://www..org/1998/Math/MathML" altimg="si15.svg" display="inline" id="e25"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msup></mml:math> blow-up in the Jordan–Moore–Gibson–Thompson equation
V. Nikoli, M. Winkler, Nonlinear Analysis 247 (2024).

A singular growth phenomenon in a Keller–Segel–type parabolic system involving densitysuppressed motilities
Y. Wang, M. Winkler, Mathematische Nachrichten 297 (2024) 2353–2364.