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Analysis of a Non-hyperbolic System Modeling Two-phase Flows Part 1: The Effects of Diffusion and Relaxation

✍ Scribed by Nabil Bedjaoui; Lionel Sainsaulieu

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
317 KB
Volume
20
Category
Article
ISSN
0170-4214

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✦ Synopsis

The paper considers the non-linear stability of a non-hyperbolic system of conservation laws with both relaxation and diffusion, which is commonly used for the modeling of two-phase fluid flows. Global existence in time is proved for initial data with a sufficiently small H norm. This result heavily depends on the nice structure of the relaxation system, derived from the initial system by setting the relaxation variables to zero.

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