Convergent finite element discretizations  of the Navier-Stokes-Nernst-Planck-Poisson system

Andreas Prohl; Markus Schmuck

Displaying similar documents to “Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system”

A discrete kinetic approximation for the incompressible Navier-Stokes equations

Maria Francesca Carfora, Roberto Natalini (2008)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this paper we introduce a new class of numerical schemes for the incompressible Navier-Stokes equations, which are inspired by the theory of discrete kinetic schemes for compressible fluids. For these approximations it is possible to give a stability condition, based on a discrete velocities version of the Boltzmann H-theorem. Numerical tests are performed to investigate their convergence and accuracy.

On the uniqueness of weak solutions for the 3D Navier-Stokes equations

Qionglei Chen, Changxing Miao, Zhifei Zhang (2009)

Annales de l'I.H.P. Analyse non linéaire

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Planar flows of incompressible heat-conducting shear-thinning fluids — existence analysis

Miroslav Bulíček, Oldřich Ulrych (2011)

Applications of Mathematics

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We study the flow of an incompressible homogeneous fluid whose material coefficients depend on the temperature and the shear-rate. For large class of models we establish the existence of a suitable weak solution for two-dimensional flows of fluid in a bounded domain. The proof relies on the reconstruction of the globally integrable pressure, available due to considered Navier’s slip boundary conditions, and on the so-called $L^{\infty}$ -truncation method, used to obtain the strong convergence of...