5 papers · 1 filter
Asymptotic stability of Landau solutions to the MHD system and energy decay
Nicola De Nitti, Yun Wang, Shaoheng Zhang
We consider the three-dimensional incompressible MHD system. Any weak solution satisfying a strong energy inequality is -asymptotically stable around a Landau solution. Under…
A Volterra equation approach to the local limit of nonlocal traffic models
Nicola De Nitti, Kuang Huang
We consider a class of nonlocal conservation laws modeling traffic flow, given by $ \partial_t u_\varepsilon + \partial_x(V(u_\varepsilon \ast γ_\varepsilon)\, u_\varepsilon) = 0…
Singular limit for a class of nonlocal conservation laws via compensated compactness
Giuseppe Maria Coclite, Nicola De Nitti, Kuang Huang
We consider a class of nonlocal conservation laws modeling traffic flows, given by ,…
Feedback stabilization for entropy solutions of a 2x2 hyperbolic system of conservation laws at a junction
Giuseppe Maria Coclite, Nicola De Nitti, Mauro Garavello +1
We consider the p-system in Eulerian coordinates on a star-shaped network. Under suitable transmission conditions at the junction and dissipative boundary conditions in the exterio…
Non-degeneracy, stability and symmetry for the fractional Caffarelli-Kohn-Nirenberg inequality
Nicola De Nitti, Federico Glaudo, Tobias König
The fractional Caffarelli-Kohn-Nirenberg inequality states that $$ \int_{\mathbb{R}^n}\int_{\mathbb{R}^n} \frac{(u(x)-u(y))^2}{|x|^α|x-y|^{n+2s} |y|^α} \mathrm{d} x \, \mathrm{d}…