4.7 Article

Long time dynamics of Nernst-Planck-Navier-Stokes systems

期刊

JOURNAL OF DIFFERENTIAL EQUATIONS
卷 379, 期 -, 页码 794-828

出版社

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2023.10.040

关键词

Electroneutrality; Debye length; Poisson-Boltzmann; Ionic electrodiffusion; Nernst-Planck; Navier Stokes

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In this study, we investigate the Nernst-Planck-Navier-Stokes system with periodic boundary conditions and prove the exponential nonlinear stability of constant steady states without constraints on the spatial dimension. We also demonstrate the exponential stability from arbitrary large data in the case of two spatial dimensions.
We consider the Nernst-Planck-Navier-Stokes system describing the electrodiffusion of ions in a viscous Newtonian fluid. We prove the exponential nonlinear stability of constant steady states in the case of periodic boundary conditions in any dimension of space without constraints on the number of species, valences and diffusivities. We consider also the case of two spatial dimensions, and we prove the exponential stability from arbitrary large data.(c) 2023 Elsevier Inc. All rights reserved.

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