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

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

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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Veröffentlicht in:Computational & applied mathematics 2023-02, Vol.42 (1), Article 64
Hauptverfasser: Dorini, Fabio Antonio, de Castro Cunha, Maria Cristina, Dorini, Leyza Baldo
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Applied physics
Burgers equation
Cauchy problems
Computational mathematics
Computational Mathematics and Numerical Analysis
Initial conditions
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Probability density functions
Statistical analysis
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Zusammenfassung: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.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-023-02207-y