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papers

Publications (24)

Asymptotic Stability of Stationary Solutions of a Free Boundary Problem Modeling the Growth of Tumors with Fluid Tissues

Junde Wu, Shangbin Cui

Weak Continuity of the Flow Map for the Benjamin-Ono Equation on the Line

Shangbin Cui, Carlos E. Kenig

Sharp well-posedness and ill-posedness in Fourier-Besov spaces for the viscous primitive equations of geophysics

Jinyi Sun, Shangbin Cui

Linearized stability for a multi-dimensional free boundary problem modeling two-phase tumor growth

Shangbin Cui

Weak Solutions for the Navier-Stokes Equations for ${B}^{-1(ln)}_{\infty\infty}+{B}_{\dot{X}_r}^{-1+r,\frac{2}{1-r}}+L^2$ Initial Data

Shangbin Cui

A Beale--Kato--Majda criterion for the 3-D Compressible Nematic Liquid Crystal Flows with Vacuum

Qiao Liu, Shangbin Cui

Global Well-posedness of the Stochastic Kuramoto-Sivashinsky Equation with Multiplicative Noise

Wei Wu, Shangbin Cui, Jinqiao Duan

Existence of Solutions for the Debye-HÃ¼ckel System with Low Regularity Initial Data

Jihong Zhao, Qiao Liu, Shangbin Cui

Random-data Cauchy Problem for the Periodic Navier-Stokes Equations with Initial Data in Negative-order Sobolev Spaces

Chao Deng, Shangbin Cui

Weak Continuity of Dynamical Systems for the KdV and mKdV Equations

Shangbin Cui, Carlos E. Kenig

On the Banach manifold of simple domains in the Euclidean space and applications to free boundary problems

Shangbin Cui

Well-posedness of the Viscous Boussinesq System in Besov Spaces of Negative Order Near Index $s=-1$

Chao Deng, Shangbin Cui

Sharp well-posedness and ill-posedness of the Navier-Stokes initial value problem in Besov-type spaces

Shangbin Cui

Global Existence and Stability for a Hydrodynamic System in the Nematic Liquid Crystal Flows

Jihong Zhao, Qiao Liu, Shangbin Cui

Asymptotic stability of the stationary solution for a parabolic-hyperbolic free boundary problem modeling tumor growth

Shangbin Cui

Asymptotic Behavior of Solutions of a Free Boundary Problem Modelling the Growth of Tumors with Stokes Equations

Junde Wu, Shangbin Cui

Lie Group Action and Stability Analysis of Stationary Solutions for a Free Boundary Problem Modelling Tumor Growth

Shangbin Cui

Linearized stability theorem for invariant and quasi-invariant parabolic differential equations in Banach manifolds with applications to free boundary problems

Shangbin Cui

Linearized eigenvalues for a free boundary problem modeling two-phase tumor growth

Shangbin Cui, Jiayue Zheng

Global well-posedness of the 3-dimensional Navier-Stokes initial value problem in $L^p\cap L^2$ with $3<p<\infty$

Shangbin Cui

Analysis of a free boundary problem modeling the growth of necrotic tumors

Shangbin Cui

Mathematical analysis of population migration and its effects to spread of epidemics

Shangbin Cui, Meng Bai

Quasi-differentiable Banach manifold and phase-diagram of invariant parabolic differential equation in such manifold

Shangbin Cui

Asymptotic Stability of the Stationary Solution for a Hyperbolic Free Boundary Problem Modeling Tumor Growth

Shangbin Cui