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A note on the solution to the random Burgers–Riemann problem subject to independent and uniformly distributed initial conditions

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Abstract

This paper aims to discuss Burgers’ equation with random Riemann initial conditions. We provide closed-form results for the first probability density function and the statistical moments of the random solution in the case of independent and uniformly distributed initial conditions.

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Correspondence to Fabio Antonio Dorini.

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Communicated by Eduardo Souza de Cursi.

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Dorini, F.A., de Castro Cunha, M.C. & Dorini, L.B. A note on the solution to the random Burgers–Riemann problem subject to independent and uniformly distributed initial conditions. Comp. Appl. Math. 42, 64 (2023). https://doi.org/10.1007/s40314-023-02207-y

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  • DOI: https://doi.org/10.1007/s40314-023-02207-y

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