Rate of convergence for vanishing viscosity approximations to hyperbolic balance laws
Ημερομηνία
2011Source
SIAM Journal on Mathematical AnalysisVolume
43Issue
5Pages
2307-2336Google Scholar check
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Metadata
Εμφάνιση πλήρους εγγραφήςΕπιτομή
The rate of convergence for vanishing viscosity approximations to hyperbolic balance laws is established. The result applies to systems that are strictly hyperbolic and genuinely nonlinear with a source term satisfying a special mechanism that induces dissipation. The proof relies on error estimates that measure the interaction of waves. Shock waves are treated by monitoring the evolution of suitable Lyapunov functionals, whereas interactions involving rarefaction waves are accommodated by employing a sharp decay estimate. © 2011 Society for Industrial and Applied Mathematics.