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arXiv · 1111.1535

A variational approach to the inviscous limit of fractional conservation laws

Mauro Mariani·Yannick Sire
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Abstract

We are concerned with a control problem related to the vanishing \emph{fractional} viscosity approximation to scalar conservation laws. We investigate the $\Gamma$-convergence of the control cost functional, as the viscosity coefficient tends to zero.

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Mauro Mariani, Yannick Sire. 2011-11-07. A variational approach to the inviscous limit of fractional conservation laws. https://arxiv.org/abs/1111.1535

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