论文信息 - Global Regularity for a 2D Model of Electro-Kinetic Fluid in a Bounded Domain - 字舞流文

Global Regularity for a 2D Model of Electro-Kinetic Fluid in a Bounded Domain

In this paper, we consider an initial boundary value problem for a 2D model of electro-kinetic fluid in a smooth and bounded domain. We prove that the model has a unique global-in-time smooth solution.

Qilin Liu | Shengqi Lu | Miao-chao Chen | Qilin Liu | Sheng-Sen Lu | Miaochao Chen

[1] Hsueh-Chia Chang,et al. PROOF COPY 022212PHF Nonlinear electrokinetic ejection and entrainment due to polarization at nearly insulated wedges , 2002 .

[2] Piotr Biler,et al. The Debye system: existence and large time behavior of solutions , 1994 .

[3] T. Yanagisawa,et al. A continuation principle for the $3$-D Euler equations for incompressible fluids in a bounded domain , 1993 .

[4] M. Bazant,et al. Induced-charge electrokinetic phenomena: theory and microfluidic applications. , 2003, Physical review letters.

[5] Haim Brezis,et al. Remarks on the Euler equation , 1974 .

[6] R. Probstein. Physicochemical Hydrodynamics: An Introduction , 1989 .

[7] Takayoshi Ogawa,et al. Well-posedness for the drift-diffusion system in Lp arising from the semiconductor device simulation , 2008 .

[8] Martin Z. Bazant,et al. Electrochemical Thin Films at and above the Classical Limiting Current , 2005, SIAM J. Appl. Math..

[9] A. B. Ferrari. On the blow-up of solutions of the 3-D Euler equations in a bounded domain , 1993 .