Global regularity for Nernst–Planck–Navier–Stokes systems with mixed boundary conditions
Global regularity for Nernst–Planck–Navier–Stokes systems with mixed boundary conditions
复制标题
具有混合边界条件的 Nernst-Planck-Navier-Stokes 系统的全局正则性
DOI：
10.1088/1361-6544/aca50f
复制
发表时间：
2021
期刊：
影响因子：
1.7
通讯作者：
Fizay
中科院分区：
文献类型：
--
作者：
Fizay
我们考虑流体中离子的电扩散，由能斯特-普朗克-纳维-斯托克斯系统描述，在三维有界域中，离子浓度具有混合阻挡（无通量）和选择性（狄利克雷）边界条件，电势具有 Robin 边界条件，代表双电层的存在。我们证明了在两个带相反电荷的离子物质的情况下，对于大量初始数据，全局存在强解。在流体流动由斯托克斯方程描述的情况下，该结果无条件成立。在纳维-斯托克斯耦合的情况下，结果有条件地满足纳维-斯托克斯正则性。我们还使用简化的论证来建立两种带相反电荷的离子物质以及两种以上物质的离子浓度的纯阻塞边界条件的全局规律性，如果扩散率相等且价态的大小也相等。
We consider electrodiffusion of ions in fluids, described by the Nernst–Planck–Navier–Stokes system, in three-dimensional bounded domains, with mixed blocking (no-flux) and selective (Dirichlet) boundary conditions for the ionic concentrations and Robin boundary conditions for the electric potential, representing the presence of an electrical double layer. We prove global existence of strong solutions for large initial data in the case of two oppositely charged ionic species. The result hold unconditionally in the case where fluid flow is described by the Stokes equations. In the case of Navier–Stokes coupling, the result holds conditionally on Navier–Stokes regularity. We use a simplified argument to also establish global regularity for the case of purely blocking boundary conditions for the ionic concentrations for two oppositely charged ionic species and also for more than two species if the diffusivities are equal and the magnitudes of the valences are also equal.
能斯特·普朗克·纳维·斯托克斯体系远离平衡
影响因子：
2.5
作者：
Constantin, Peter;Ignatova, Mihaela;Lee, Fizay-Noah
通讯作者：
Lee, Fizay-Noah
影响因子：
2.4
作者：
Pham, Van Sang;Li, Zirui;Han, Jongyoon
通讯作者：
Han, Jongyoon