What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Geometry
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 most cited work include:
- Boundedness vs. blow-up in a chemotaxis system (557 citations)
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model (515 citations)
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues (513 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (50.63%)
- Bounded function (44.73%)
- Combinatorics (22.36%)
What were the highlights of his more recent work (between 2018-2021)?
- Bounded function (44.73%)
- Combinatorics (22.36%)
- Nabla symbol (18.57%)
In recent papers he was focusing on the following fields of study:
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.
Between 2018 and 2021, his most popular works were:
- A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization (56 citations)
- Occurrence vs. Absence of taxis-driven instabilities in a May-Nowak model for virus infection (31 citations)
- Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities (22 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Geometry
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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