What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Internal medicine
- Endocrinology
His scientific interests lie mostly in Bounded function, Mathematical analysis, Neumann boundary condition, Nabla symbol and Combinatorics.
His work deals with themes such as Nonlinear diffusion and Mathematical physics, which intersect with Mathematical analysis.
His research integrates issues of Motion, Space dimension and Nonlinear system in his study of Mathematical physics.
Youshan Tao combines subjects such as Domain and Regular polygon with his study of Neumann boundary condition.
His Domain research focuses on subjects like Pure mathematics, which are linked to Parabolic partial differential equation.
His Regular polygon research is multidisciplinary, incorporating perspectives in Algebraic number, Smoothness, Arbitrarily large, Constant and Weak solution.
His most cited work include:
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues (513 citations)
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity (405 citations)
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant (177 citations)
What are the main themes of his work throughout his whole career to date?
Youshan Tao mostly deals with Mathematical analysis, Bounded function, Combinatorics, Nonlinear system and Nabla symbol.
His work on Uniqueness and Boundary value problem as part of general Mathematical analysis study is frequently linked to Chemotaxis and Haptotaxis, therefore connecting diverse disciplines of science.
His studies deal with areas such as Neumann boundary condition, Pure mathematics and Regular polygon as well as Bounded function.
The various areas that Youshan Tao examines in his Neumann boundary condition study include Upper and lower bounds, Arbitrarily large, Domain and Sensitivity.
Within one scientific family, Youshan Tao focuses on topics pertaining to Calculus under Combinatorics, and may sometimes address concerns connected to Navier stokes.
His Nonlinear system study combines topics from a wide range of disciplines, such as A priori estimate and Free boundary problem.
He most often published in these fields:
- Mathematical analysis (48.53%)
- Bounded function (45.59%)
- Combinatorics (23.53%)
What were the highlights of his more recent work (between 2018-2021)?
- Bounded function (45.59%)
- Combinatorics (23.53%)
- Nabla symbol (19.12%)
In recent papers he was focusing on the following fields of study:
Youshan Tao spends much of his time researching Bounded function, Combinatorics, Nabla symbol, Domain and Virus.
His Combinatorics research overlaps with Homogeneous and Lambda.
His Nabla symbol investigation overlaps with other disciplines such as Convex domain, Saturation, Signal production, Zero order and Critical mass.
His study of Domain brings together topics like Constant, Uniform boundedness, Nonnegative function, Dimension and Pure mathematics.
His Virus research spans across into fields like Production rate, Mathematical analysis and Taxis.
By researching both Mathematical analysis and Type, Youshan Tao produces research that crosses academic boundaries.
Between 2018 and 2021, his most popular works were:
- A chemotaxis-haptotaxis system with haptoattractant remodeling: Boundedness enforced by mild saturation of signal production (14 citations)
- Global smooth solvability of a parabolic–elliptic nutrient taxis system in domains of arbitrary dimension (6 citations)
- Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction (4 citations)
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