4 papers
Mixing and enhanced dissipation in a time-translating shear flow
Johannes Benthaus, Giuseppe Maria Coclite, Camilla Nobili
Motivated in part by the work of Vanneste and Byatt-Smith, we study mixing and enhanced dissipation for the advection-diffusion equation with velocity field $\mathbf{u}(x,y,t)=(\si…
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 ,…
Upwind filtering of scalar conservation laws
Giuseppe Maria Coclite, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro
We study a class of multi-dimensional non-local conservation laws of the form , where the standard local divergence $\operatorna…
On the structure of optimal solutions of conservation laws at a junction with one incoming and one outgoing arc
Fabio Ancona, Annalisa Cesaroni, Giuseppe Maria Coclite +1
We consider a min-max problem for strictly concave conservation laws on a 1-1 network, with inflow controls acting at the junction. We investigate the minimization problem for a fu…