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arxiv: 1111.1535 · v1 · pith:PIQOOW5Mnew · submitted 2011-11-07 · 🧮 math.AP

A variational approach to the inviscous limit of fractional conservation laws

classification 🧮 math.AP
keywords conservationcontrolfractionallawsviscosityapproachapproximationcoefficient
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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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