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Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems (Articolo in rivista)
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- Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems (Articolo in rivista) (literal)
- Anno
- 2013-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1090/S0033-569X-2013-01284-6 (literal)
- Alternative label
Christoforou C.; Spinolo L.V. (2013)
Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems
in Quarterly of applied mathematics (Online); American Mathematical Society, Providence, R.I. (Stati Uniti d'America)
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- Christoforou C.; Spinolo L.V. (literal)
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- http://www.ams.org/journals/qam/2013-71-03/S0033-569X-2013-01284-6/S0033-569X-2013-01284-6.pdf (literal)
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- Department of Mathematics and Statistics, University of Cyprus, 1678 Nicosia, Cyprus;
IMATI-CNR, via Ferrata 1, 27100 Pavia, Italy (literal)
- Titolo
- Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems (literal)
- Abstract
- 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 nonconservative systems, to the analysis of the boundary Riemann problem and we show that, under appropriate assumptions, the limits of the self-similar and the classical vanishing viscosity approximation coincide. We require neither genuine nonlinearity nor linear degeneracy of the characteristic fields. © 2013 Brown University. (literal)
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