On the Well-posedness of the Ideal MHD Equations in the Triebel–Lizorkin Spaces |
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| Authors: | Qionglei Chen Changxing Miao Zhifei Zhang |
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| Institution: | 1. Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China
2. School of Mathematical Science, Peking University, Beijing, 100871, China
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| Abstract: | In this paper, we prove the local well-posedness for the ideal MHD equations in the Triebel–Lizorkin spaces and obtain a blow-up
criterion of smooth solutions. Specifically, we fill a gap in a step of the proof of the local well-posedness part for the
incompressible Euler equation in Chae (Comm Pure Appl Math 55:654–678 2002). |
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