# Viscous Limits for strong shocks of one-dimensional systems of conservation laws

Journées équations aux dérivées partielles (2002)

- page 1-11
- ISSN: 0752-0360

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topRousset, Frédéric. "Viscous Limits for strong shocks of one-dimensional systems of conservation laws." Journées équations aux dérivées partielles (2002): 1-11. <http://eudml.org/doc/93427>.

@article{Rousset2002,

abstract = {We consider a piecewise smooth solution of a one-dimensional hyperbolic system of conservation laws with a single noncharacteristic Lax shock. We show that it is a zero dissipation limit assuming that there exist linearly stable viscous profiles associated with the discontinuities. In particular, following the approach of Grenier and Rousset (2001), we replace the smallness condition obtained by energy methods in Goodman and Xin (1992) by a weaker spectral assumption.},

author = {Rousset, Frédéric},

journal = {Journées équations aux dérivées partielles},

language = {eng},

pages = {1-11},

publisher = {Université de Nantes},

title = {Viscous Limits for strong shocks of one-dimensional systems of conservation laws},

url = {http://eudml.org/doc/93427},

year = {2002},

}

TY - JOUR

AU - Rousset, Frédéric

TI - Viscous Limits for strong shocks of one-dimensional systems of conservation laws

JO - Journées équations aux dérivées partielles

PY - 2002

PB - Université de Nantes

SP - 1

EP - 11

AB - We consider a piecewise smooth solution of a one-dimensional hyperbolic system of conservation laws with a single noncharacteristic Lax shock. We show that it is a zero dissipation limit assuming that there exist linearly stable viscous profiles associated with the discontinuities. In particular, following the approach of Grenier and Rousset (2001), we replace the smallness condition obtained by energy methods in Goodman and Xin (1992) by a weaker spectral assumption.

LA - eng

UR - http://eudml.org/doc/93427

ER -

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