Convergent Finite Element Discretizations of the Navier-stokes-nernst-planck-poisson System
نویسندگان
چکیده
We propose and analyse two convergent fully discrete schemes to solve the incompressible Navier-Stokes-Nernst-Planck-Poisson system. The first scheme converges to weak solutions satisfying an energy and an entropy dissipation law. The second scheme uses Chorin’s projection method to obtain an efficient approximation that converges to strong solutions at optimal rates. Mathematics Subject Classification. 65N30, 35L60, 35L65. Received September 10, 2008. Published online February 23, 2010.
منابع مشابه
Global Existence and Asymptotic Behavior of Self - Similar Solutions for the Navier - Stokes - Nernst - Planck - Poisson System in R 3
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