Browsing by Subject "Genuine nonlinearity"
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Article
Rate of convergence for vanishing viscosity approximations to hyperbolic balance laws
(2011)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 ...
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Article
Sharp decay estimates for hyperbolic balance laws
(2009)We consider strictly hyperbolic and genuinely nonlinear systems of hyperbolic balance laws in one-space dimension. Sharp decay estimates are derived for the positive waves in an entropy weak solution. The result is obtained ...