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arXiv · 1402.2450

Stagnation, Creation, Breaking

Piotr B. Mucha
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Abstract

This note deals with the mono-dimensional equation: $\d_t u -\d_x L(u_x) =f$ with $L(\cdot)$ merely monotone. The goal is to examine the features of facets -- flat regions of graphs of solutions appearing as $L(\cdot)$ suffers jumps. We concentrate on examples explaining strong stability, creation and even breaking of facets.

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Piotr B. Mucha. 2014-02-11. Stagnation, Creation, Breaking. https://arxiv.org/abs/1402.2450

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