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Mathematics

D-Index
70
Citations
25664
World Ranking
271
National Ranking
15

Overview

Michael Winkler is affiliated with the University of Paderborn in Germany, focusing on mathematical and biological research at the intersection of applied mathematics and molecular biology. Their publication record reflects a specialization in complex systems involving mathematical biology, particularly chemotaxis and related modeling techniques.

Their research spans multiple main fields of study including:

  • Mathematics
  • Biochemistry, Genetics and Molecular Biology

Within these fields, Winkler's work engages deeply with specific subfields such as:

  • Modeling and Simulation
  • Molecular Biology
  • Cell Biology
  • Computational Theory and Mathematics
  • Public Health, Environmental and Occupational Health

The primary topics addressed in their research include:

  • Mathematical Biology Tumor Growth
  • Gene Regulatory Network Analysis
  • Advanced Mathematical Modeling in Engineering
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Cellular Mechanics and Interactions
  • Microtubule and mitosis dynamics
  • Advanced mathematical theories

Recent publications reflect their focus on chemotaxis, diffusion models, and fluid dynamics in biological systems. Selected papers include:

  • Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision, 2022, published in Mathematical Models and Methods in Applied Sciences
  • Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations, 2020, SIAM Journal on Mathematical Analysis
  • Attractiveness of Constant States in Logistic-Type Keller-Segel Systems Involving Subquadratic Growth Restrictions, 2020, Advanced Nonlinear Studies
  • Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary, 2021, Communications in Partial Differential Equations
  • Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension, 2022, Journal of Differential Equations

Their collaborations have frequently included researchers such as Youshan Tao, Sunil K. Kansal, Johannes Lankeit, Yulan Wang, and Genglin Li.

Winkler's body of work has been published in diverse venues, with repeated contributions to:

  • arXiv (Cornell University)
  • Mathematical Models and Methods in Applied Sciences
  • Journal of Differential Equations
  • Nonlinearity
  • European Journal of Applied Mathematics

Best Publications

  • Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model

    Michael Winkler

  • Boundedness vs. blow-up in a chemotaxis system

    Dirk Horstmann;Michael Winkler

  • Finite-time blow-up in the higher-dimensional parabolic–parabolic Keller–Segel system

    Michael Winkler

  • Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

    N. Bellomo;N. Bellomo;A. Bellouquid;Y. Tao;M. Winkler

  • Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity

    Youshan Tao;Michael Winkler

  • Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source

    Michael Winkler

  • Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops

    Michael Winkler

  • A Chemotaxis System with Logistic Source

    J. Ignacio Tello;Michael Winkler

  • Global weak solutions in a three-dimensional chemotaxis–Navier–Stokes system

    Michael Winkler

  • Stabilization in a two-dimensional chemotaxis-Navier–Stokes system

    Michael Winkler

  • Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant

    Youshan Tao;Michael Winkler

  • Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction

    Michael Winkler

  • Does a ‘volume-filling effect’ always prevent chemotactic collapse?

    Michael Winkler

  • Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics

    Michael Winkler;Xueli Bai

  • Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening

    Michael Winkler

  • Finite-time blow-up in a quasilinear system of chemotaxis

    Tomasz Cieślak;Michael Winkler

  • How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?

    Michael Winkler

  • Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect

    Michael Winkler;Kianhwa C. Djie

  • Global solutions in a fully parabolic chemotaxis system with singular sensitivity

    Michael Winkler

  • Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity

    Michael Winkler

Frequent Co-Authors

Youshan Tao
Youshan Tao Shanghai Jiao Tong University
Nicola Bellomo
Nicola Bellomo University of Granada
Philippe Souplet
Philippe Souplet Paris 13 University
Juan Luis Vázquez
Juan Luis Vázquez Autonomous University of Madrid
Yuan Lou
Yuan Lou Shanghai Jiao Tong University
Alexander Mielke
Alexander Mielke Weierstrass Institute for Applied Analysis and Stochastics

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