The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I Large‐time asymptotics
(2023)
Journal Article
Needham, D. J., Meyer, J. C., Billingham, J., & Drysdale, C. (2023). The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I Large‐time asymptotics. Studies in Applied Mathematics, https://doi.org/10.1111/sapm.12561
In this paper, we consider the classical Riemann problem for a generalized Burgers equation, u t + h α ( x ) u u x = u x x , $$\begin{equation*} u_t + h_{\alpha }(x) u u_x = u_{xx}, \end{equation*}$$ with a spatially dependent, nonlinear sound speed,... Read More about The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I Large‐time asymptotics.