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math.AP2019
Convergence to traveling waves of a singular PDE-ODE hybrid chemotaxis system in the half space
Jingyu Li, Zhian Wang
This paper is concerned with the asymptotic stability of the initial-boundary value problem of a singular PDE-ODE hybrid chemotaxis system in the half space . We…
math.AP2019★ 4 cited
Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability
Jose A Carrillo, Jingyu Li, Zhian Wang
We exploit the existence and nonlinear stability of boundary spike/layer solutions of the Keller-Segel system with logarithmic singular sensitivity in the half space, where the phy…
math.AP2019★ 1 cited
Global existence of uniformly locally energy solutions for the incompressible fractional Navier-Stokes equations
Jingyue Li
In this paper, we introduce the concept of local Leray solutions starting from a locally square-integrable initial data to the fractional Navier-Stokes equations with $s\in [3/4,1)…