Riemann problem for a general variable coefficient Burgers equation with time-dependent damping
Abstract
In this paper, we study the Riemann problem for a general variable coefficient Burgers equation with time-dependent damping. We use a nonlinear time-dependent viscosity equation with a similarity variable. Thus, when the viscosity goes to zero, we obtain Riemann solutions to the general variable coefficient Burgers equation with time-dependent damping. Moreover, we use the Lax–Friedrichs scheme to obtain numerical evidence of the Riemann solutions.
Type
Publication
International Journal of Non-Linear Mechanics, 162, 104703. doi:10.1016/j.ijnonlinmec.2024.104703
