2 citations · 2 across the 5 of their papers we have counts for
7 papers
A Liouville theorem for the two-dimensional stationary hypodissipative Navier--Stokes system
Nicola De Nitti, Lukas Niebel, Jiaqi Yang
We study the two-dimensional stationary incompressible Navier--Stokes equations on with fractional dissipation . In the full range , we prove tha…
Superharmonicity of the fractional ground state
Nicola De Nitti, Xavier Fernández-Real
Let . We prove that the positive ground state of the fractional Laplacian on an arbitrary open set , whenever it exists, satisfies in…
Stability and instability of a one-dimensional MHD model
Nicola De Nitti, Jie Guo, Quansen Jiu
We consider a one-dimensional magnetohydrodynamics model introduced by Dai \textit{et al.}~(2023), in a parameter regime where, in the absence of a magnetic field, the system reduc…
Controllability of a One-Dimensional Dynamic Debonding Model
Nicola De Nitti, Arick Shao
We investigate a one-dimensional dynamic debonding model, introduced by Freund (1990), in which the wave equation is coupled with a Griffith criterion governing the propagation of…
Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness
Timothée Crin-Barat, Nicola De Nitti, Stefan Škondrić +1
We characterize the Leray--Hopf solutions of the 2D inhomogeneous Navier--Stokes system that become strong for positive times. This characterization relies on the strong energy ine…
A general result on the approximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels
Giuseppe Maria Coclite, Jean-Michel Coron, Nicola De Nitti +2
We deal with the problem of approximating a scalar conservation law by a conservation law with nonlocal flux. As convolution kernel in the nonlocal flux, we consider an exponential…