Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838847 | Nonlinear Analysis: Real World Applications | 2009 | 14 Pages |
Abstract
We consider a non-linear viscous bi-layer shallow water model with capillarity effects and extra friction terms in a two-dimensional space. This system is issued from a derivation of three-dimensional Navier–Stokes equations with a water-depth depending on friction coefficients. We prove an existence result for a global weak solution in a periodic domain Ω=T2Ω=T2.
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Authors
Jean De Dieu Zabsonré, Gladys Narbona-Reina,