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math.AP2025
The zero capillarity limit for the Euler-Korteweg system with no-flux boundary conditions
Paolo Antonelli, Yuri Cacchiò
In this article, we study the small dispersion limit of the Euler-Korteweg system in a domain with a smooth boundary and no-flux boundary conditions. We exploit a relative energy a…
math.AP2025
On the effect of the Coriolis force on the enstrophy cascade
Yuri Cacchiò, Amirali Hannani, Gigliola Staffilani
We study the direct enstrophy cascade at small spatial scales in statistically stationary forced-dissipated 2D Navier-Stokes equations subject to the Coriolis force in the -plan…