Transition to Instabilities of
Discrete Shocks
Tong Li
University of Iowa, USA
We propose to study the stability of discrete shocks through a discrete dynamic
system. The discrete dynamic system describing the discrete shock waves exhibits
rich dynamics resulting from the combined effects of discretization, nonlinearity and
dissipation. The onset of the instability of discrete shocks is identified and the
stability threshold is in terms of shock wave strength, mesh size and viscosity.
Converted from LiTong.pdf (PDF).