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Blow-up of a modified ODEs system arising from the Galerkin approximation of some Navier-Stokes equations
Falocchi, Alessio
Gazzola, Filippo
2025
Abstract
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.
Source
Alessio Falocchi and Filippo Gazzola, "Blow-up of a modified ODEs system arising from the Galerkin approximation of some Navier-Stokes equations" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.57 (2025)", EUT Edizioni Università di Trieste, Trieste, 2025, pp.
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
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