Charged Fluids in Porous Media

Mihaela Ignatova; Jingyang Shu

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arXiv · 2107.13655

Charged Fluids in Porous Media

Mihaela Ignatova·Jingyang Shu

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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.

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Mihaela Ignatova, Jingyang Shu. 2021-07-28. Charged Fluids in Porous Media. https://arxiv.org/abs/2107.13655

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