科研之友
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摘要
We consider non-linear viscous shallow water models with varying topography, extra friction terms and capillary effects, in a two-dimensional framework. Water-depth dependent laminar and turbulent friction coefficients issued from an asymptotic analysis of the three-dimensional free-surface Navier-Stokes equations are considered here. A new proof of stability for global weak solutions is given in periodic domain Omega = T(2), adapting the method introduced by J. Simon in [15] for the non-homogeneous Navier-Stokes equations. Existence results for such solutions can be obtained from this stability analysis.
- 出版日期2009-12
