[1] RYHAM R J, LIU C, ZIKATANOV L. Mathematical models for the deformation of electrolyte droplets[J]. Discrete Contin Dyn Syst Ser B, 2007, 8(3): 649-661.
[2] DENG C, ZHAO J, CUI S. Well-posedness for the Navier-Stokes-Nernst-Planck-Poisson system in Triebel-Lizorkin space and Besov space with negative indices[J]. J Math Anal Appl, 2011, 377(1): 392-405.
[3] FAN J, NAKAMURA G, ZHOU Y. On the Cauchy problem for a model of electro-kinetic fluid[J]. Appl Math Lett, 2012, 25(1): 33-37.
[4] ZHAO J, BAI M. Blow-up criteria for the three dimensional nonlinear dissipative system modeling electro-hydrodynamics[J]. Nonlinear Analysis: Real World Applications, 2016, 31: 210-226.
[5] LI F. Quasineutral limit of the electro-diffusion model arising in electrohydrodynamics[J]. J Differential Equations, 2009, 246(9): 3620-3641.
[6] SHAO G, CHAI X. Approximation of the 2D incompressible electrohydrodynamics system by the artificial compressibility method[J]. Boundary Value Problems, 2017, 2017(1): 14.
[7] RYHAM R J. Existence, uniqueness, regularity and long-term behavior for dissipative systems modeling electrohydrodynamics[DB/OL]. arXiv:0910.4973.
[8] FAN J, LI F, NAKAMURA G. Regularity criteria for a mathematical model for the deformation of electrolyte droplets[J]. Appl Math Lett, 2013, 26: 494-499.
[9] BOSIA S, PATA V, ROBINSON J. A weak-Lp Prodi-Serrin type regularity criterion for the Navier-Stokes equations[J]. J Math Fluid Mech, 2014, 16: 721-725.
[10] GRAFAKOS L. Classical Fourier Analysis[M]. New York: Springer, 2008. [11] PATA V, MIRANVILLE A. On the regularity of solutions to the Navier-Stokes equations[J]. Commun Pure Appl Anal, 2012, 11: 747-761.
() () |