His primary scientific interests are in Mathematical analysis, Bounded function, Weak solution, Neumann boundary condition and Combinatorics. His research integrates issues of Mathematical physics and Nonlinear system in his study of Mathematical analysis. His Bounded function research is multidisciplinary, relying on both Discrete mathematics, Sensitivity, Pure mathematics and Regular polygon.
Michael Winkler works mostly in the field of Weak solution, limiting it down to topics relating to Smoothness and, in certain cases, Scalar field, as a part of the same area of interest. His work in Neumann boundary condition tackles topics such as Domain which are related to areas like Applied mathematics and Range. His Combinatorics study incorporates themes from Nabla symbol, Omega and Norm.
His primary areas of investigation include Mathematical analysis, Bounded function, Combinatorics, Omega and Nabla symbol. When carried out as part of a general Mathematical analysis research project, his work on Initial value problem is frequently linked to work in Rate of convergence, therefore connecting diverse disciplines of study. The various areas that he examines in his Bounded function study include Weak solution, Neumann boundary condition, Boundary value problem and Domain.
His Neumann boundary condition research includes elements of Arbitrarily large, Ball and Pure mathematics. His Combinatorics research includes themes of Finite time and Star. His biological study spans a wide range of topics, including Zero and Dirichlet distribution.
Bounded function, Combinatorics, Nabla symbol, Omega and Mathematical analysis are his primary areas of study. His work deals with themes such as Weak solution, Saturation and Pure mathematics, which intersect with Bounded function. His Combinatorics study combines topics in areas such as Degenerate diffusion, Degenerate energy levels, Star, Lambda and Parabolic system.
He combines subjects such as Delta-v, Cauchy problem and Boundary value problem, Dirichlet distribution with his study of Nabla symbol. His Delta-v research focuses on Ball and how it connects with Neumann boundary condition. His Mathematical analysis research integrates issues from Compressibility and Buoyancy.
Michael Winkler focuses on Combinatorics, Bounded function, Nabla symbol, Omega and Context. Michael Winkler applies his multidisciplinary studies on Bounded function and Domain in his research. The Nabla symbol study which covers Delta-v that intersects with Star, Ball, Sensitivity and Parabolic system.
His Omega research is multidisciplinary, incorporating perspectives in Saturation, Convex domain and Diffusion limit. Michael Winkler connects Neumann boundary condition with Homogeneous in his study. As part of the same scientific family, Michael Winkler usually focuses on Mathematical physics, concentrating on Oncolytic virus and intersecting with Cross diffusion.
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Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model
Journal of Differential Equations (2010)
Boundedness vs. blow-up in a chemotaxis system
Dirk Horstmann;Michael Winkler.
Journal of Differential Equations (2005)
Finite-time blow-up in the higher-dimensional parabolic–parabolic Keller–Segel system
Journal de Mathématiques Pures et Appliquées (2013)
Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
Communications in Partial Differential Equations (2010)
Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
Youshan Tao;Michael Winkler.
Journal of Differential Equations (2012)
Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
N. Bellomo;N. Bellomo;A. Bellouquid;Y. Tao;M. Winkler.
Mathematical Models and Methods in Applied Sciences (2015)
Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
Communications in Partial Differential Equations (2012)
A Chemotaxis System with Logistic Source
J. Ignacio Tello;Michael Winkler.
Communications in Partial Differential Equations (2007)
Stabilization in a two-dimensional chemotaxis-Navier–Stokes system
Archive for Rational Mechanics and Analysis (2014)
Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
Journal of Mathematical Analysis and Applications (2011)
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