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- Youshan Tao

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
32
Citations
5,731
68
World Ranking
2352
National Ranking
113

- 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.

- 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)

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.

- Mathematical analysis (48.53%)
- Bounded function (45.59%)
- Combinatorics (23.53%)

- Bounded function (45.59%)
- Combinatorics (23.53%)
- Nabla symbol (19.12%)

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.

- 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)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

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

Youshan Tao;Michael Winkler.

Journal of Differential Equations **(2012)**

730 Citations

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)**

700 Citations

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

Youshan Tao;Michael Winkler.

Journal of Differential Equations **(2012)**

333 Citations

Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion

Youshan Tao;Michael Winkler.

Annales de l'Institut Henri Poincaré C, Analyse non linéaire **(2013)**

237 Citations

A CHEMOTAXIS-HAPTOTAXIS MODEL: THE ROLES OF NONLINEAR DIFFUSION AND LOGISTIC SOURCE ∗

Youshan Tao;Michael Winkler.

Siam Journal on Mathematical Analysis **(2011)**

232 Citations

Boundedness in a chemotaxis model with oxygen consumption by bacteria

Youshan Tao.

Journal of Mathematical Analysis and Applications **(2011)**

232 Citations

Competing effects of attraction vs. repulsion in chemotaxis

Youshan Tao;Zhi-An Wang.

Mathematical Models and Methods in Applied Sciences **(2013)**

215 Citations

Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion

Youshan Tao;Michael Winkler.

Discrete and Continuous Dynamical Systems **(2012)**

214 Citations

Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis–fluid system

Youshan Tao;Michael Winkler.

Zeitschrift für Angewandte Mathematik und Physik **(2015)**

212 Citations

Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion

Youshan Tao;Michael Winkler.

Siam Journal on Mathematical Analysis **(2015)**

172 Citations

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