Document Zbl 0634.76100

Nonlinear periodic waves in a two-phase flow model. (English) Zbl 0634.76100

SIAM J. Appl. Math. 47, 726-736 (1987).

Summary: A partial differential equation is presented as a model for a two-phase flow. A nonlinear analysis is done using perturbation theory formally yielding periodic traveling wave solutions. In light of previous work these solutions, under certain restrictions, are interpreted as linearly unstable waves which have equilibrated.

Cited in 7 Documents

MSC:

76T99

Multiphase and multicomponent flows

Keywords:

two-phase flow; perturbation theory; periodic traveling wave solutions; linearly unstable waves

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Nonlinear periodic waves in a two-phase flow model. (English) Zbl 0634.76100

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