10 citations · 18 across the 5 of their papers we have counts for
5 papers
Vanishing Viscosity Limits of Scalar Equations with Degenerate Diffusivity
Giuseppe Coclite, Andrea Corli, Lorenzo di Ruvo
We consider a scalar, possibly degenerate parabolic equation with a source term, in several space dimensions. For initial data with bounded variation we prove the existence of solu…
Sharp profiles in models of collective movements
Andrea Corli, Lorenzo di Ruvo, Luisa Malaguti
We consider a parabolic partial differential equation that can be understood as a simple model for crowds flows. Our main assumption is that the diffusivity and the source/sink ter…
Traveling waves for degenerate diffusive equations on networks
Andrea Corli, Lorenzo Di Ruvo, Luisa Malaguti +1
In this paper we consider a scalar parabolic equation on a star graph; the model is quite general but what we have in mind is the description of traffic flows at a crossroad. In pa…
A singular limit problem for conservation laws related to the Rosenau-Korteweg-de Vries equation
G. M. Coclite, L. di Ruvo
We consider the Rosenau-Korteweg-de Vries-equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solution of the dispers…
A singular limit problem for conservation laws related to the Rosenau equation
G. M. Coclite, L. di Ruvo
We consider the Rosenau equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispersive equation conv…