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Mingji Zhang
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Dynamics of the 3-D fractional complex Ginzburg-Landau equation
H. Lu, P. W. Bates, S. Lv, M. Zhang
Journal of Differential Equations 259, 5276-5301, 2015
692015
Poisson–Nernst–Planck systems for ion flow with density functional theory for hard-sphere potential: I–V relations and critical potentials. Part II: Numerics
W Liu, X Tu, M Zhang
Journal of Dynamics and Differential Equations 24, 985-1004, 2012
652012
Effects of (small) permanent charge and channel geometry on ionic flows via classical Poisson--Nernst--Planck models
S Ji, W Liu, M Zhang
SIAM Journal on Applied Mathematics 75 (1), 114-135, 2015
612015
Asymptotic Behavior of Stochastic Fractional Power Dissipative Equations on R^n
H Lu, PW Bates, J Xin, M Zhang
Nonlinear Analysis TMA 128, 176-198, 2015
532015
Stochastic Dynamics of the 3D fractional complex Ginzburg-Landau equation with multiplicative noise on an unbounded domain
H. Lu, P. W. Bates, S. Lv, M. Zhang
Communications in Mathematical Sciences 14 (1), 273-295, 2016
442016
Poisson--Nernst--Planck systems for ion flow with a local hard-sphere potential for ion size effects
G Lin, W Liu, Y Yi, M Zhang
SIAM Journal on Applied Dynamical Systems 12 (3), 1613-1648, 2013
412013
Asymptotic expansions and numerical simulations of IV relations via a steady-state Poisson-Nernst-Planck system
M Zhang
Rocky Mountain Journal of Mathematics 45 (5), 1681-1708, 2015
352015
Individual flux study via steady-state Poisson-Nernst-Planck systems: Effects from boundary conditions
PW Bates, Y Jia, G Lin, H Lu, M Zhang
SIAM J. on Applied dynamical Systems 16 (1), 410-430, 2017
272017
Bifurcations of limit cycles in a Z2-equivariant planar polynomial vector field of degree 7
J Li, M Zhang, S Li
International Journal of Bifurcation and Chaos 16 (04), 925-943, 2006
262006
RANDOM ATTRACTORS FOR NON-AUTONOMOUS FRACTIONAL STOCHASTIC PARABOLIC EQUATIONS ON UNBOUNDED DOMAINS.
H Lu, J Qi, B Wang, M Zhang
Discrete & Continuous Dynamical Systems: Series A 39 (2), 2019
252019
Dynamics of classical Poisson–Nernst–Planck systems with multiple cations and boundary layers
Z Wen, L Zhang, M Zhang
Journal of Dynamics and Differential Equations 33, 211-234, 2021
242021
Qualitative properties of ionic flows via Poisson-Nernst-Planck systems with Bikerman's local hard-sphere potentials: Ion size effects
Y Jia, W Liu, M Zhang
Discrete and Continuous Dynamical systems Series-B 21 (6), 1775-1802, 2016
232016
Ion size and valence effects on ionic flows via Poisson-Nernst-Planck models
PW Bates, W Liu, H Lu, M Zhang
Communications in Mathematical Sciences 15 (4), 881-901, 2017
212017
A new type of solitary wave solution of the mKdV equation under singular perturbations
L Zhang, M Han, M Zhang, CM Khalique
International Journal of Bifurcation and Chaos 30 (11), 2050162, 2020
202020
Fourier spectral approximations to the dynamics of 3D fractional complex Ginzburg-Landau equation
H Lu, SJ Lü, MJ Zhang
Discrete and Continuous Dynamical Systems 37 (5), 2539-2564, 2017
202017
Small permanent charge effects on individual fluxes via Poisson–Nernst–Planck models with multiple cations
PW Bates, Z Wen, M Zhang
Journal of Nonlinear Science 31 (3), 55, 2021
182021
Boundary layer effects on ionic flows via classical Poisson-Nernst-Planck systems
M Zhang
Computational and Mathematical Biophysics 6 (1), 14-27, 2018
182018
Dynamics of ionic flows via Poisson-Nernst-Planck systems with local hard-sphere potentials: Competition between cations
PW Bates, J Chen, M Zhang
Mathematical Biosciences and Engineering 17 (4), 3736-3766, 2020
172020
Ion size effects on individual fluxes via Poisson-Nernst-Planck systems with Bikerman's local hard-sphere potential: Analysis without electroneutrality boundary conditions
H Lu, J Li, J Shackelford, J Vorenberg, M Zhang
Discrete Contin. Dyn. Syst. Ser. B 23, 1623-1643, 2018
152018
Effects on I–V relations from small permanent charge and channel geometry via classical Poisson–Nernst–Planck equations with multiple cations
Z Wen, PW Bates, M Zhang
Nonlinearity 34 (6), 4464, 2021
132021
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