On the well posedness of vanishing viscosity limits
Journées équations aux dérivées partielles (2002), article no. 4, 10 p.

This paper provides a survey of recent results concerning the stability and convergence of viscous approximations, for a strictly hyperbolic system of conservation laws in one space dimension. In the case of initial data with small total variation, the vanishing viscosity limit is well defined. It yields the unique entropy weak solution to the corresponding hyperbolic system.

@article{JEDP_2002____A4_0,
author = {Bressan, Alberto},
title = {On the well posedness of vanishing viscosity limits},
journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
eid = {4},
publisher = {Universit\'e de Nantes},
year = {2002},
doi = {10.5802/jedp.602},
mrnumber = {1968200},
language = {en},
url = {http://www.numdam.org/articles/10.5802/jedp.602/}
}
Bressan, Alberto. On the well posedness of vanishing viscosity limits. Journées équations aux dérivées partielles (2002), article  no. 4, 10 p. doi : 10.5802/jedp.602. http://www.numdam.org/articles/10.5802/jedp.602/

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