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ANALYSIS OF A NON-HYPERBOLIC SYSTEM MODELING TWO-PHASE FLOWS .1. THE EFFECTS OF DIFFUSION AND RELAXATION

机译:非双曲线系统建模两相流的分析.1。扩散和松弛的影响

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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-1 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. (C) 1997 by B. G. Teubner Stuttgart-John Wiley & Sons Ltd. [References: 16]
机译:本文考虑了具有松弛和扩散的守恒律的非双曲系统的非线性稳定性,常用于两相流体流动的建模。对于具有足够小的H-1范数的初始数据,证明了时间上的全局存在。该结果在很大程度上取决于松弛系统的良好结构,该结构是通过将松弛变量设置为零来从初始系统得出的。 (C)1997年,作者是B. G. Teubner斯图加特-约翰·威利父子有限公司[参考文献:16]

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