On the well posedness of vanishing viscosity limits | Zendy

Alberto Bressan | Zendy

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On the well posedness of vanishing viscosity limits

Author(s) -

Alberto Bressan

Publication year - 2002

Publication title -

journées équations aux dérivées partielles

Language(s) - English

Resource type - Journals

eISSN - 2118-9366

pISSN - 0752-0360

DOI - 10.5802/jedp.602

Subject(s) - conservation law , viscosity , limit (mathematics) , mathematics , entropy (arrow of time) , dimension (graph theory) , convergence (economics) , mathematical analysis , viscosity solution , space (punctuation) , stability (learning theory) , physics , pure mathematics , thermodynamics , economics , computer science , machine learning , economic growth , operating system

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.

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