Browsing Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.57 (2025) by Author "Falocchi, Alessio"
For the third order Galerkin approximation of the Navier- Stokes equations under Navier boundary conditions in a cube we prove global existence and qualitative behaviour of the solution. By modifying properly the signs of the resulting ODEs system and using the test function technique developed by Mitidieri-Pohoˇzaev we prove, instead, finite time blow-up.
