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arXiv · 1909.00159

Global boundedness of the curl for a p-curl system in convex domains

Hongjin Wu·Baojun Bian
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Abstract

In this paper, we study a semilinear system involving the curl operator in a bounded and convex domain in $R^3$, which comes from the steady-state approximation for Bean critical-state model for type-II superconductors. We show the existence and the $L^{\infty}$ estimate for weak solutions to this system.

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Hongjin Wu, Baojun Bian. 2019-08-31. Global boundedness of the curl for a p-curl system in convex domains. https://arxiv.org/abs/1909.00159

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