44 citations · 234 across the 46 of their papers we have counts for
3 papers · 2 filters
Wellposedness of a nonlinear peridynamic model
Giuseppe Maria Coclite, Serena Dipierro, Francesco Maddalena +1
We consider an evolution equation inspired by a model in peridynamics, with a singular pairwise interaction force term, and we give global in time existence, uniqueness and stabili…
On the optimization of conservation law models at a junction with inflow and flow distribution controls
Fabio Ancona, Annalisa Cesaroni, Giuseppe Maria Coclite +1
The paper proposes a general framework to analyze control problems for conservation law models on a network. Namely we consider a general class of junction distribution controls an…
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…