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arXiv · 1210.4072

On the well-posedness of a 2D nonlinear and nonlocal system arising from the dislocation dynamics

Dong Li·Changxing Miao·Liutang Xue
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Abstract

In this paper we consider a 2D nonlinear and nonlocal model describing the dynamics of the dislocation densities. We prove the local well-posedness of strong solution to this system in the suitable functional framework, and we show the global well-posedness for some dissipative cases by the method of nonlocal maximum principle.

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Dong Li, Changxing Miao, Liutang Xue. 2012-10-15. On the well-posedness of a 2D nonlinear and nonlocal system arising from the dislocation dynamics. https://doi.org/10.1142/s0219199713500211

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