The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I Large‐time asymptotics

DOI10.1111/SAPM.12561zbMath1529.35068MaRDI QIDQ6068166

John Billingham, Unnamed Author, David John Needham, John Christopher Meyer

Publication date: 15 December 2023

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Riemann problemgeneralized Burgers equationlarge-time structurespatially decaying sound speed

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Semilinear parabolic equations (35K58)

Cites Work

• Unnamed Item
• Unnamed Item
• The Large-Time Solution of Burgers' Equation with Time-Dependent Coefficients. I. The Coefficients Are Exponential Functions
• Generalized Burgers Equations Transformable to the Burgers Equation
• The Large-Time Solution of Burgers' Equation with Time- Dependent Coefficients. II. Algebraic Coefficients
• Large Time Asymptotics with Error Estimates to Solutions of a Forced Burgers Equation
• Approximate solution methods for nonlinear acoustic propagation over long ranges
• Solutions of a Nonhomogeneous Burgers Equation
• Geometrical and diffusive effects in nonlinear acoustic propagation over long ranges
• Nonlinear wave motion governed by the modified Burgers equation
• The long time asymptotics of solutions to the generalized Burgers equation
• Cole‐Hopf Transformations for Higher Dimensional Burgers Equations With Variable Coefficients
• Asymptotic stability of viscous shocks in the modular Burgers equation
• A Study of Separable Solutions of a Generalized Burgers Equation

This page was built for publication: The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I Large‐time asymptotics