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arXiv · 1709.06878

Mathematical properties of the Weertman equation

Marc Josien
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Abstract

We derive here some mathematical properties of the Weertman equation and show it is the limit of an evolution equation. The Weertman equation is a semilinear integrodifferential equation involving a fractional Laplacian. In addition to this purely theoretical interest, the results proven here give a solid ground to a numerical approach that we have implemented (see arXiv:1704.04489).

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Marc Josien. 2017-09-18. Mathematical properties of the Weertman equation. https://arxiv.org/abs/1709.06878

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