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Analysis of a finite element method for the Stokes–Poisson–Boltzmann equations
No full textWe define a finite element method for the coupling of Stokes and nonlinear Poisson–Boltzmann equations. The novelty in the formula- tion is that the coupling from the electric potential to the drag in the momentum balance is rewritten as a weighted advection term. Using Banach’s contraction principle, the Babuška–Brezzi theory, and the Minty–Browder theorem, we show that the governing equations have a unique weak solution. We also show that the discrete problem is well-posed, establish Céa estimates, and derive convergence rates. We exemplify the properties of the proposed scheme via some numerical experiments showcasing convergence and applicability in the study of electro-osmotic flows in micro-channels.
References
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Metrical properties of continued fraction and Lüroth series expansions
No full texthttp://dx.doi.org/10.1017/S000497271200033
Quenched central limit theorem for Dvoretzky covering
No full texthttp://dx.doi.org/10.1017/S000497271200033
Radicals and idempotents III: -central idempotents
No full texthttp://dx.doi.org/10.1017/S000497271200033
A conjecture of Zhi-Wei Sun on matrices concerning multiplicative subgroups of finite fields
No full texthttp://dx.doi.org/10.1017/S000497271200033
A note on -binding functions and linear forests
No full texthttp://dx.doi.org/10.1017/S000497271200033
Nonrelativistic limit for the travelling waves of the pseudo-relativistic Hartree equation
No full texthttp://dx.doi.org/10.1017/S000497272400111
A note on the large sieve inequality for moduli generated by a quadratic
No full texthttp://dx.doi.org/10.1017/S000497271200033