5 papers
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 ,…
Asymptotically compatible entropy-consistent discretization for a class of nonlocal conservation laws
Nicola De Nitti, Kuang Huang
We consider a class of nonlocal conservation laws modeling traffic flows, given by $ \partial_t Ï_\varepsilon + \partial_x(V(Ï_\varepsilon \ast γ_\varepsilon) Ï_\varepsilon) =…
Optimal transport of measures via autonomous vector fields
Nicola De Nitti, Xavier Fernández-Real
We study the problem of transporting one probability measure to another via an autonomous velocity field. We rely on tools from the theory of optimal transport. In one space-dimens…