A center manifold technique for tracing viscous waves | Zendy

Stefano Bianchini | Zendy; Alberto Bressan | Zendy

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A center manifold technique for tracing viscous waves

Author(s) -

Stefano Bianchini,

Alberto Bressan

Publication year - 2002

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2002.1.161

Subject(s) - tracing , viscosity , ray tracing (physics) , center (category theory) , viscous liquid , manifold (fluid mechanics) , stability (learning theory) , mathematics , mathematical analysis , computer science , physics , mechanics , optics , mechanical engineering , chemistry , machine learning , crystallography , engineering , operating system , quantum mechanics

In this paper we introduce a new technique for tracing viscous travelling profiles. To illustratethe method, we consider a special 2 \Theta 2 hyperbolic system of conservation laws with viscosity, andshow that any solution can be locally decomposed as the sum of 2 viscous travelling profiles. This yieldsthe global existence, stability and uniform BV bounds for every solution with suitably small BV data.1.

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