Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.19713 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929440087343104 |
|---|---|
| author | Hömberg, Dietmar Lasarzik, Robert Plato, Luisa |
| author_facet | Hömberg, Dietmar Lasarzik, Robert Plato, Luisa |
| contents | In this article we present a system of coupled non-linear PDEs modeling an anisotropic electrokinetic flow. We show the existence of suitable weak solutions in three spatial dimensions, that is weak solutions which fulfill an energy inequality, via a regularized system. The flow is modeled by a Navier--Stokes--Nernst--Planck--Poisson system and the anisotropy is introduced via space dependent diffusion matrices in the Nernst--Planck and Poisson equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19713 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence of suitable weak solutions to an anisotropic electrokinetic flow model Hömberg, Dietmar Lasarzik, Robert Plato, Luisa Analysis of PDEs In this article we present a system of coupled non-linear PDEs modeling an anisotropic electrokinetic flow. We show the existence of suitable weak solutions in three spatial dimensions, that is weak solutions which fulfill an energy inequality, via a regularized system. The flow is modeled by a Navier--Stokes--Nernst--Planck--Poisson system and the anisotropy is introduced via space dependent diffusion matrices in the Nernst--Planck and Poisson equations. |
| title | Existence of suitable weak solutions to an anisotropic electrokinetic flow model |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2407.19713 |