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Scalar conservation laws with white noise initial data

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Published in 2021 at "Probability Theory and Related Fields"

DOI: 10.1007/s00440-021-01083-z

Abstract: The statistical description of the scalar conservation law of the form $\rho_t=H(\rho)_x$ with $H: \mathbb{R} \rightarrow \mathbb{R}$ a smooth convex function has been an object of interest when the initial profile $\rho(\cdot,0)$ is random. The… read more here.

Keywords: conservation laws; laws white; scalar conservation; white noise ... See more keywords