Existence of C1,α singular solutions to Euler–Nernst–Planck–Poisson system on R3 with free-moving charges

We construct a special C1,α blow up solution to the three dimensional system modeling electro-hydrodynamics, which is strongly coupled with incompressible Euler equation and Nernst–Planck–Poisson equation. Our construction lies on the framework established in Elgindi et al. (2021) and relies on a sp...

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Bibliographic Details
Published in:Nonlinear analysis 2023-05, Vol.230, Article 113227
Main Authors: Qiu, Yiya, Zhao, Lifeng
Format: Article
Language:English
Subjects:
Euler–Nernst–Planck–Poisson system
Singularity formation
Online Access:Get full text
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Summary:We construct a special C1,α blow up solution to the three dimensional system modeling electro-hydrodynamics, which is strongly coupled with incompressible Euler equation and Nernst–Planck–Poisson equation. Our construction lies on the framework established in Elgindi et al. (2021) and relies on a special solution to variant spherical Laplacian.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2023.113227