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20112026
most citedEntanglement monogamy relations of qubit systems

142 citations

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6 papers · 1 filter

math.AP2020★ 1 cited

Global boundedness of the fully parabolic Keller-Segel system with signal-dependent motilities

Zhi-An Wang, Jiashan Zheng

This paper establishes the global uniform-in-time boundedness of solutions to the following Keller-Setel system with signal-dependent diffusion and chemotaxis \begin{equation}\left…

math.AP2019★ 40 cited

A new result for 2D boundedness of solutions to a chemotaxis--haptotaxis model with/without sub-logistic source

Tian Xiang, Jiashan Zheng

We consider the Neumann problem for a coupled chemotaxis-haptotaxis model of cancer invasion with/without kinetic source in a 2D bounded and smooth domain. For a large class of cel…

math.AP2018★ 1 cited

A new result for boundedness in the quasilinear parabolic-parabolic Keller-Segel model (with logistic source)

Jiashan Zheng

The current paper considers the boundedness of solutions to the following quasilinear Keller-Segel model (with logistic source) $$\left\{\begin{array}{ll} u_t = \nabla\cdot(D(u)\na…

math.AP2018★ 4 cited

An optimal result for global existence and boundedness in a three-dimensional Keller-Segel-Stokes system with nonlinear diffusion

Jiashan Zheng

This paper investigates the following quasilinear Keller-Segel-Navier-Stokes system $$\left\{ \begin{array}{l} n_t+u\cdot\nabla n=Δn^m-\nabla\cdot(n\nabla c),\quad x\in Ω, t>0, \\…

math.AP2017★ 24 cited

Boundedness of solution of a parabolic--ODE--parabolic chemotaxis--haptotaxis model with (generalized) logistic source

Jiashan Zheng

In this paper, we study the following chemotaxis--haptotaxis system with (generalized) logistic source $$ \left\{\begin{array}{ll} u_t=Δu-χ\nabla\cdot(u\nabla v)- ξ\nabla\cdot(u\na…

math.AP2017

Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with nonlinear diffusion

Jiashan Zheng

The coupled quasilinear Keller-Segel-Navier-Stokes system is considered under Neumann boundary conditions for and and no-slip boundary conditions for in three-dimension…