Existence of $C^{1,\alpha}$ Singular Solutions to Euler-Nernst-Planck-Poisson System on $\mathbb{R}^3$ with Free-Moving Charges

DOI10.1016/J.NA.2023.113227zbMath1510.35244arXiv2010.06442MaRDI QIDQ6351194

Lifeng Zhao, Yiya Qiu

Publication date: 13 October 2020

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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