Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions

Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components

(2018) Michael Winkler   JOURNAL OF EVOLUTION EQUATIONS

A quest toward a mathematical theory of the dynamics of swarms

(2017) Nicola Bellomo et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Fokker–Planck equations in the modeling of socio-economic phenomena

(2017) Giulia Furioli et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Efficient numerical methods for multiscale crowd dynamics with emotional contagion

(2017) Li Wang et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

The two-dimensional Keller–Segel system with singular sensitivity and signal absorption: Global large-data solutions and their relaxation properties

(2016) Michael Winkler   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Long-term behaviour in a chemotaxis-fluid system with logistic source

(2016) Johannes Lankeit   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

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

(2016) Michael Winkler   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

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

(2015) N. Bellomo et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities

(2015) Michael Winkler   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

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

(2013) Michael Winkler   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

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

(2013) Michael Winkler   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Role of social interactions in dynamic patterns of resource patches and forager aggregation

(2012) N. Tania et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

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

(2011) Youshan Tao et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

From particle to kinetic and hydrodynamic descriptions of flocking

(2011) Eitan Tadmor et al.   Kinetic and Related Models

ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS

(2011) N. BELLOMO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

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

(2010) Michael Winkler   JOURNAL OF DIFFERENTIAL EQUATIONS

Social interactions, information use, and the evolution of collective migration

(2010) V. Guttal et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Pattern formation in prey-taxis systems

(2009) J. M. Lee et al.   Journal of Biological Dynamics

A STATISTICAL MODEL OF CRIMINAL BEHAVIOR

(2008) M. B. SHORT et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES