Browsing by Subject "Vanishing viscosity"
Now showing items 1-6 of 6
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Article
Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems
(2013)We provide a precise description of the set of residual boundary conditions generated by the self-similar viscous approximation introduced by Dafermos et al. We then apply our results, valid for both conservative and ...
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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
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
Solutions for a nonlocal conservation law with fading memory
(2007)Global entropy solutions in BV for a scalar nonlocal conservation law with fading memory are constructed as the limits of vanishing viscosity approximate solutions. The uniqueness and stability of entropy solutions in BV ...
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Article
Systems of hyperbolic conservation laws with memory
(2007)Global weak solutions of bounded variation to systems of balance laws with non-local source are constructed by the method of vanishing viscosity. Suitable dissipativeness assumptions are imposed on the source terms to ...
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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 ...