Browsing by Subject "Dissipative"
Now showing items 1-3 of 3
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Article
Hyperbolic systems of balance laws via vanishing viscosity
(2006)Global weak solutions of a strictly hyperbolic system of balance laws in one-space dimension are constructed by the vanishing viscosity method of Bianchini and Bressan. For global existence, a suitable dissipativeness ...
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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 ...
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Article
Uniqueness and sharp estimates on solutions to hyperbolic systems with dissipative source
(2006)Global weak solutions of a strictly hyperbolic system of balance laws in one-space dimension were constructed (cf. Christoforou, 2006) via the vanishing viscosity method under the assumption that the source term g is ...