TY - JOUR
T1 - On the Nernst–Planck–Navier–Stokes system
AU - Constantin, Peter
AU - Ignatova, Mihaela
N1 - Funding Information:
Acknowledgements. We would like to thank the referee for helpful suggestions to improve the presentation. The work of PC was partially supported by NSF Grant DMS-1713985.
Funding Information:
We would like to thank the referee for helpful suggestions to improve the presentation. The work of PC was partially supported by NSF Grant DMS-1713985.
PY - 2019/6/3
Y1 - 2019/6/3
N2 - We consider ionic electrodiffusion in fluids, described by the Nernst–Planck–Navier–Stokes system in bounded domains, in two dimensions, with Dirichlet boundary conditions for the Navier–Stokes and Poisson equations, and blocking (vanishing normal flux) or selective (Dirichlet) boundary conditions for the ionic concentrations. We prove global existence and stability results for large data.
AB - We consider ionic electrodiffusion in fluids, described by the Nernst–Planck–Navier–Stokes system in bounded domains, in two dimensions, with Dirichlet boundary conditions for the Navier–Stokes and Poisson equations, and blocking (vanishing normal flux) or selective (Dirichlet) boundary conditions for the ionic concentrations. We prove global existence and stability results for large data.
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U2 - 10.1007/s00205-018-01345-6
DO - 10.1007/s00205-018-01345-6
M3 - Article
AN - SCOPUS:85058621351
VL - 232
SP - 1379
EP - 1428
JO - Archive for Rational Mechanics and Analysis
JF - Archive for Rational Mechanics and Analysis
SN - 0003-9527
IS - 3
ER -