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Global finite-energy weak solutions to the Navier--Stokes--Maxwell in 1D

Yu, Cheneg
arXiv (All) · Papers
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analysis-of-pdes
We construct global finite-energy weak solutions for a 1D barotropic Navier--Stokes--Maxwell system with displacement current and the algebraic Ohm law. The result holds for every \(γ>1\) and arbitrary finite-energy initial data, allowing vacuum and requiring only \(L^2\) initial electromagnetic fie
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