Analysis of semidiscretization of the compressible Navier-Stokes equations
نویسنده
چکیده
The objective of this work is to investigate the time discretization of two dimensional Navier-Stokes system with the slip boundary conditions. First, the existence of weak solutions for a fixed time step 4t > 0 is presented and then the limit passage as 4t → 0 is carried out. The proof is based on a new technique established for the steady Navier-Stokes equations by Mucha P. B. and Pokorný M. 2006 Nonlinearity 19 1747-1768 which enables to estimate the growth of L∞ norm of the density when 4t goes to 0.
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