4 citations · 9 across the 9 of their papers we have counts for
9 papers
Global solutions to the Nernst-Planck-Euler system on bounded domain
Dapeng Du, Jingyu Li, Yansheng Ma +1
We show that the Nernst-Planck-Euler system, which models ionic electrodiffusion in fluids, has global strong solutions for arbitrarily large data in the two dimensional bounded do…
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…
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…
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…
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…
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)…
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…
Steady hydrodynamic model of semiconductors with sonic boundary
Jingyu Li, Ming Mei, Guojing Zhang +1
In this paper, we study the well-posedness/ill-posedness and regularity of stationary solutions to the hydrodynamic model of semiconductors represented by Euler-Poisson equations w…
Blowup of Smooth Solutions to the Navier-Stokes Equations for Compressible Isothermal Fluids
Du Dapeng, Li Jingyu, Zhang Kaijun
It is shown that the one-dimensional or two-dimensional radially symmetric isothermal compressible Navier-Stokes system has no non-trivial global smooth solutions if the initial de…