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1. On numerical solution of compressible flow in time-dependent domains

2. On the blow up criterion for the 2-D compressible Navier-Stokes equations

3. On the long-time behaviour of compressible fluid flows subjected to highly oscillating external forces

4. On the solution of linear algebraic systems arising from the semi-implicit DFGE discretization of the compressible Navier-Stokes equations

5. Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid