May 2025
| Intervenant : | Marta Strani |
| Institution : | Università Ca' Foscari di Venezia |
| Heure : | 14h00 - 15h00 |
| Lieu : | Bâtiment 307, salle 2L8 |
In this talk I will discuss some results on the long-time dynamics of the solutions to the isentropic Navier-Stokes equations for compressible fluids with a density-dependent diffusion in a bounded interval of the real line.
In particular, I will firstly discuss the stability properties of the (unique) stationary solution by means of the construction of a suitable Lyapunov functional for the system. Subsequently, I will present some results on the asymptotic behavior of the time-dependent solutions, showing how they (slowly) converge towards the aforementioned steady state by firstly developing into a layered function and then by drifting towards it in an exponentially long time interval.
These results are partially contained in [1, 2].
References
[1] Mascia, C., Strani, M.; Slow motion for compressible isentropic Navier-Stokes equations, preprint.
[2] Strani, M.; Existence and stability properties of the steady state for the compressible isentropic Navier-Stokes equations, Comm. Math. Sci. (2022), 20(1), 231–264.