On the well posedness of vanishing viscosity limits

Alberto Bressan

Journées équations aux dérivées partielles (2002)

  • page 1-10
  • ISSN: 0752-0360

Abstract

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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.

How to cite

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Bressan, Alberto. "On the well posedness of vanishing viscosity limits." Journées équations aux dérivées partielles (2002): 1-10. <http://eudml.org/doc/93431>.

@article{Bressan2002,
abstract = {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.},
author = {Bressan, Alberto},
journal = {Journées équations aux dérivées partielles},
language = {eng},
pages = {1-10},
publisher = {Université de Nantes},
title = {On the well posedness of vanishing viscosity limits},
url = {http://eudml.org/doc/93431},
year = {2002},
}

TY - JOUR
AU - Bressan, Alberto
TI - On the well posedness of vanishing viscosity limits
JO - Journées équations aux dérivées partielles
PY - 2002
PB - Université de Nantes
SP - 1
EP - 10
AB - 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.
LA - eng
UR - http://eudml.org/doc/93431
ER -

References

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  13. [L] T. P. Liu, Admissible solutions of hyperbolic conservation laws, Amer. Math. Soc. Memoir 240 (1981). Zbl0446.76058MR603391
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