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Youshan Tao
Researcher at Donghua University
Publications - 75
Citations - 5516
Youshan Tao is an academic researcher from Donghua University. The author has contributed to research in topics: Bounded function & Nonlinear system. The author has an hindex of 32, co-authored 69 publications receiving 4238 citations. Previous affiliations of Youshan Tao include Ohio State University & Soochow University (Suzhou).
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Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
TL;DR: In this article, a survey and critical analysis focused on a variety of chemotaxis models in biology, namely the classical Keller-Segel model and its subsequent modifications, which, in several cases, have been developed to obtain models that prevent the non-physical blow up of solutions.
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Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
Youshan Tao,Michael Winkler +1 more
TL;DR: For the quasilinear parabolic Keller-Segel system with homogeneous Neumann boundary conditions, this article showed that the classical solutions to the problem are uniformly in time bounded, provided that D ( u ) satisfies some technical conditions such as algebraic upper and lower growth estimates as u → ∞.
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Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
Youshan Tao,Michael Winkler +1 more
TL;DR: In this paper, it was shown that for arbitrarily large initial data, this problem admits at least one global weak solution for which there exists T > 0 such that ( u, v ) is bounded and smooth in Ω × (T, ∞ ).
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Competing effects of attraction vs. repulsion in chemotaxis
Youshan Tao,Zhi-An Wang +1 more
TL;DR: In this paper, the authors considered the attraction-repulsion chemotaxis system under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary and proved that the system with τ = 0 is globally well-posed in high dimensions if repulsion prevails over attraction.
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Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
Youshan Tao,Michael Winkler +1 more
TL;DR: In this paper, Di Francesco, Lorz and Markowich showed that global weak solutions exist whenever m > 8 7 and the initial data (n 0, c 0, u 0 ) are sufficiently regular satisfying n 0 > 0 and c 0 < 0.