6 citations · 8 across the 6 of their papers we have counts for
7 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…
The reflection of an ionized shock wave
Fumioki Asakura, Andrea Corli
In a previous paper we studied the thermodynamic and kinetic theory for an ionized gas, in one space dimension; in this paper we provide an application of those results to the refl…
Coupling conditions for isothermal gas flow and applications to valves
Andrea Corli, Magdalena Figiel, Anna Futa +1
We consider an isothermal gas flowing through a straight pipe and study the effects of a two-way electronic valve on the flow. The valve is either open or closed according to the p…
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…
Semi-wavefront solutions in models of collective movements with density-dependent diffusivity
Andrea Corli, Luisa Malaguti
This paper deals with a nonhomogeneous scalar parabolic equation with possibly degenerate diffusion term; the process has only one stationary state. The equation can be interpreted…
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…