Hyperbolic systems with supercharacteristic relaxations and roll wavesSIAM JOURNAL ON APPLIED MATHEMATICS
AbstractWe study a distinguished limit for general 2 x 2 hyperbolic systems with relaxation, which is valid in both the subcharacteristic and supercharacteristic cases. This is a weakly nonlinear limit, which leads the underlying relaxation systems into a Burgers equation with a source term; the sign of the source term depends on the characteristic interleaving condition. In the supercharacteristic case, the problem admits a periodic solution known as the roll wave, generated by a small perturbation around equilibrium constants. Such a limit is justified in the presence of artificial viscosity, using the energy method.
Citation InformationS Jin and MA Katsoulakis. "Hyperbolic systems with supercharacteristic relaxations and roll waves" SIAM JOURNAL ON APPLIED MATHEMATICS Vol. 61 Iss. 1 (2000)
Available at: http://works.bepress.com/markos_katsoulakis/6/