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- W1979565461 abstract "We find a representation of smooth solutions to the Cauchy problem for a scalar multidimensional conservation law as small diffusion limit of a stochastic perturbation along characteristics. It helps, in particular, to study the process of singularities formation. Further, we introduce an associated system of balance laws that can be interpreted as describing the motion of a continuum with some specific pressure term. This term arises only after the instant when the solution to the initial Cauchy problem looses its smoothness. Before this instant the system coincides partly with the one known as pressure free gas dynamics." @default.
- W1979565461 created "2016-06-24" @default.
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- W1979565461 date "2012-03-17" @default.
- W1979565461 modified "2023-09-23" @default.
- W1979565461 title "A representation of solutions to a scalar conservation law in several dimensions" @default.
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- W1979565461 doi "https://doi.org/10.48550/arxiv.1203.3901" @default.
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