| 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 | 75 | 2015 |
| 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 | 69 | 2012 |
| 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 | 66 | 2015 |
| 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 | 59 | 2015 |
| 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 | 48 | 2016 |
| 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 | 46 | 2013 |
| 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 | 36 | 2015 |
| 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 | 30 | 2006 |
| 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 | 29 | 2021 |
| 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 | 29 | 2017 |
| 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 | 28 | 2019 |
| 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 | 28 | 2016 |
| 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 | 25 | 2021 |
| 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 | 25 | 2020 |
| 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 | 23 | 2017 |
| 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 | 22 | 2017 |
| Boundary layer effects on ionic flows via classical Poisson-Nernst-Planck systems M Zhang Computational and Mathematical Biophysics 6 (1), 14-27, 2018 | 21 | 2018 |
| 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 | 19 | 2020 |
| 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 | 17 | 2021 |
| Mathematical analysis of Poisson–Nernst–Planck models with permanent charges and boundary layers: studies on individual fluxes J Chen, Y Wang, L Zhang, M Zhang Nonlinearity 34 (6), 3879, 2021 | 17 | 2021 |
Peter W. BatesProfessor of Mathematics, Michigan State UniversityAdresse e-mail validée de math.msu.edu