Charged Fluids in Porous Media

Mihaela Ignatova; Jingyang Shu

Charged Fluids in Porous Media

Analysis of PDEs 2021-07-30 v1

Authors: Mihaela Ignatova , Jingyang Shu

Abstract

The Nernst-Planck-Darcy system models ionic electrodiffusion in porous media. We consider the system for two ionic species with opposite valences. We prove that the initial value problem for the Nernst-Planck-Darcy system in periodic domains in two or three dimensions has global weak solutions in $W^{1, p}$ ( $p \geq 2$ ). We obtain furthermore global existence and uniqueness of smooth solutions for arbitrary large data.

Keywords

weak solutions fluid dynamics water waves

Cite

@article{arxiv.2107.13655,
  title  = {Charged Fluids in Porous Media},
  author = {Mihaela Ignatova and Jingyang Shu},
  journal= {arXiv preprint arXiv:2107.13655},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:2101.03199

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