Geodesic
The nonlinear model of axisymmetric free-surface two-layered creeping flow
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2010), pp. 91-100

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The nonlinear model based on the long-wave approximation of the Navier–Stokes equations is developed to investigate the evolution of free-surface two-layered creeping flow subjected by the initial topography of the surface and interface between layers. Using the method of asymptotic expansions for the governing equations, we study a long-time evolution of the flow and reveal the relation between the surface and interface displacements. The obtained results are applied to calculate the profile of the crust-mantle interface beneath the large-scale lunar basin.
Keywords: Stokes flow, multi-layered flow, long-wave approximation, nonlinear diffusion, ring structures. 
@article{VUU_2010_2_a7,
     author = {V. V. Pack},
     title = {The nonlinear model of axisymmetric free-surface two-layered creeping flow},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {91--100},
     publisher = {mathdoc},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2010_2_a7/}
}
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V. V. Pack. The nonlinear model of axisymmetric free-surface two-layered creeping flow. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2010), pp. 91-100. http://geodesic.mathdoc.fr/item/VUU_2010_2_a7/