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20112022
most citedBlowup of Smooth Solutions to the Navier-Stokes Equations for Compressible Isothermal Fluids

3 citations · 4 across the 3 of their papers we have counts for

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math.AP2022

A type of oscillatory integral operator and its applications

Chuanwei Gao, Jingyue Li, Liang Wang

In this paper, we consider - estimate for a class of oscillatory integral operators satisfying the Carleson-Sjölin conditions with further convex and straight assumptions. As…

math.AP2020

On the semigroup generated by the Oseen operator around a steady flow exterior to a rotating obstacle

Jingyue Li, Changxing Miao, Xiaoxin Zheng

We consider the motion of an incompressible viscous fluid filling the whole space exterior to a moving with rotation and translation obstacle. We show that the Stokes operator arou…

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

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.AP20191 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)…

math.AP2018

Minimal blow-up initial data in critical Fourier-Herz spaces for potential Navier-Stokes singularities

Jingyue Li, Changxing Miao, Xiaoxin Zheng

In this paper, we mainly prove the existence of the minimal blow-up initial data in critical Fourier-Herz space $F\dot{B}^{2-{\frac3p}}_{p,q}(\RR^3)$ with and $1\le…