Two-dimensional probability distribution of the solution to the random Burgers-Riemann problem

DOI10.1016/j.physd.2023.133800zbMath1529.60025MaRDI QIDQ6111908

M. Jornet

Publication date: 4 August 2023

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

Dirac delta functionstochastic fluid dynamicsBurgers-Riemann problem with uncertaintiesgeneralized probability density functionmixed random field

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) KdV equations (Korteweg-de Vries equations) (35Q53) Spectral methods applied to problems in fluid mechanics (76M22) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (1)

Finite-dimensional probability distributions in the random Burgers-Riemann problem

Cites Work

• A note on the logistic equation subject to uncertainties in parameters
• Statistical moments of the solution of the random Burgers-Riemann problem
• Statistical moments for solutions of non-linear scalar equations with random Riemann data
• Numerical models for differential problems. Translated from the 5th Italian edition by Silvia Quarteroni
• A note on the solution to the random Burgers-Riemann problem subject to independent and uniformly distributed initial conditions
• Random Differential Equations in Scientific Computing
• Spectral Methods for Uncertainty Quantification
• Asymptotic-Numerical Study of Supersensitivity for Generalized Burgers' Equations
• Generalized Probability Density Function of the Solution to the Random Burgers-Riemann Problem
• Supersensitivity due to uncertain boundary conditions
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