arXiv subjects

Nicola de Nitti

Publications and source records attributed to Nicola de Nitti.

2 recordsLinked to original sources

arXiv2024

Nested discontinuous asymptotic profiles for the viscous Burgers equation with infinite mass

We study the viscous Burgers equation with a family of initial data having infinite mass. After rescaling, the solution converges toward a bounded discontinuous profile in the long-time limit. Moreover, by changing the scale near the discontinuity point again, we find a new profile that is also discontinuous. This process can be repeated an arbitrary number of times.

math.AP↗

arXiv2024

Optimal Regularity for the 2D Euler Equations in the Yudovich class

We analyze the optimal regularity that is exactly propagated by a transport equation driven by a velocity field with BMO gradient. As an application, we study the 2D Euler equations in case the initial vorticity is bounded. The sharpness of our result for the Euler equations follows from a variation of Bahouri and Chemin's vortex patch example.

math.AP↗