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

J. Needham, D.; C. Meyer, John; Billingham, J.; Drysdale, Catherine

doi:10.1111/sapm.12561

Public

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

Published in Studies in Applied Mathematics • Jan 17, 2023

Authors:

D. J. Needham

John C. Meyer

J. Billingham

Abstract

Abstract In this paper, we consider the classical Riemann problem for a generalized Burgers equation, with a spatially dependent, nonlinear sound speed, with , which decays algebraically with increasing distance from a fixed spatial origin. When , this reduces to the classical Burgers equation. In t...

Subject

Burgers' equation

Mathematics

Riemann hypothesis

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