https://orcid.org/0000-0003-1093-0001
References
- Bothe, D. (2011). On the Maxwell--Stefan approach to multicomponent diffusion. Parabolic Problems, Progress in Nonlinear Differential Equations and Their Applications, 80, 81–93. doi:10.1007/978-3-0348-0075-4\_5
- Böttcher, K. (2010). Numerical solution of a multicomponent species transport problem combining diffusion and fluid flow as engineering benchmark. International Journal of Heat and Mass Transfer, 53, 231–240. doi:10.1016/j.ijheatmasstransfer.2009.09.038
- Boudin, L., Grec, B., & Salvarani, F. (2012). A mathematical and numerical analysis of the Maxwell-Stefan diffusion equations. Discrete and Continuous Dynamical Systems Series B, 17, 1427–1440.
- Boudin, L., Grec, B., & Salvarani, F. (2015). The Maxwell--Stefan diffusion limit for a kinetic model of mixtures. Acta Applicandae Mathematicae, 136, 79–90. doi:10.1007/s10440-014-9886-z
- Chapman, S., & Cowling, Th. G. (1990). The mathematical theory of non-uniform gases: An account of the kinetic theory of viscosity, thermal conduction, and diffusion in gases. Cambridge: Cambridge University Press.
- Duncan, J. B., & Toor, H. L. (1962). An experimental study of three component gas diffusion. AIChE Journal, 8, 38–41. doi:10.1002/aic.690080112
- Fick, A. (1995). On liquid diffusion. Journal of Membrane Science, 100, 33–38. doi:10.1016/0376-7388(94)00230-V
- Geiser, J. (2011). Iterative splitting methods for differential equations. Boca Raton, FL: CRC-Press.
- Geiser, J. (2015). Numerical methods of the Maxwell--Stefan diffusion equations and applications in plasma and particle transport. arxiv:1501.05792. Retrieved from http://arxiv.org/abs/1501.05792
- Geiser, J. (in press). Multicomponent and multiscale systems: Theory, methods, and applications in engineering. New York, NY: Springer International.
- Kelley, C. T. (1995). Iterative methods for linear and nonlinear equations. Philadelphia, PA: SIAM.
- Maxwell, J. C. (1867). On the dynamical theory of gases. Philosophical Transactions of the Royal Society, 157, 49–88. Retrieved from http://www.jstor.org/stable/108968?seq=1#page_scan_tab_contents
- Peerenboom, K., van Boxtel, J., Janssen, J., & van Dijk, J. (2014). A conservative multicomponent diffusion algorithm for ambipolar plasma flows in local thermodynamic equilibrium. Journal of Physics D: Applied Physics, 47, 425202. doi:10.1088/0022-3727/47/42/425202
- Senega, T. K., & Brinkmann, R. P. (2006). A multi-component transport model for non-equilibrium low-temperature low-pressure plasmas. Journal of Physics D: Applied Physics, 39, 1606–1618. doi:10.1088/0022-3727/39/8/020
- Spille-Kohoff, A., Preu{\ss}, E., & B\"{o}ttcher, K. (2012). Numerical solution of multi-component species transport in gases at any total number of components. International Journal of Heat and Mass Transfer, 55, 5373–5377. doi:10.1016/j.ijheatmasstransfer.2012.05.040
- Tanaka, Y. (2004). Two-temperature chemically non-equilibrium modelling of high-power Ar-N2 inductively coupled plasmas at atmospheric pressure. Journal of Physics D: Applied Physics, 37, 1190–1205. doi:10.1088/0022-3727/37/8/007