6 citations · 15 across the 5 of their papers we have counts for
5 papers
On General Balance Laws with Boundary
Rinaldo M. Colombo, Graziano Guerra
This paper is devoted to general balance laws (with a possibly non local source term) with a non-characteristic boundary. Basic well posedness results are obtained, trying to provi…
Balance laws with integrable unbounded sources
Graziano Guerra, Francesca Marcellini, Veronika Schleper
We consider the Cauchy problem for a strictly hyperbolic system of balance laws $$ \{{array}{c} u_t+f(u)_x=g(x,u), x \in \mathbb{R}, t>0 u(0,.)=u_o \in L^1 \cap BV(\mat…
Modeling and Optimal Control of Networks of Pipes and Canals
R. M. Colombo, G. Guerra, M. Herty +1
This paper deals with the optimal control of systems governed by nonlinear systems of conservation laws at junctions. The applications considered range from gas compressors in pipe…
Hyperbolic Balance Laws with a Dissipative Non Local Source
Rinaldo M. Colombo, Graziano Guerra
This paper considers systems of balance law with a dissipative non local source. A global in time well posedness result is obtained. Estimates on the dependence of solutions from t…
Differential Equations in Metric Spaces with Applications
Rinaldo M. Colombo, Graziano Guerra
This paper proves the local well posedness of differential equations in metric spaces under assumptions that allow to comprise several different applications. We consider below a s…