National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
On the problem of singular limit
Caggio, Matteo ; Ducomet, B. ; Nečasová, Šárka ; Tang, T.
We consider the problem of singular limit of the compressible Euler system confined to a straight layer Ωδ = (0, δ)×R², δ > 0. In the regime of low Mach number limit and reduction of dimension the convergence to the strong solution of the 2D incompressible Euler system is shown.
The hydrostatic approximation of compressible anisotropic Navier-Stokes equations
Gao, H. ; Nečasová, Šárka ; Tang, T.
The aim of the paper is to give a rigorous derivation of the hydrostatic approximation by taking the small aspect ratio limit to the Navier-Stokes equations. The aspect ratio (the ratio of the depth to horizontal width) is a geometrical constraint in the general large scale geophysical motions meaning that the vertical scale is signi cantly smaller than horizontal.

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