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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Bibliographic Details
Published inComputational & applied mathematics Vol. 42; no. 1
Main Authors Dorini, Fabio Antonio, de Castro Cunha, Maria Cristina, Dorini, Leyza Baldo
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.02.2023
Springer Nature B.V
Subjects
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
First probability density function
35R60
Random Burgers’ equation
Riemann problem
Statistical moments
35R05
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-023-02207-y