5 citations · 7 across the 3 of their papers we have counts for
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math.AP2009★ 1 cited
Smooth and discontinuous junctions in the p-system
Rinaldo M. Colombo, Francesca Marcellini
Consider the p-system describing the subsonic flow of a fluid in a pipe with section a = a(x). We prove that the resulting Cauchy problem generates a Lipschitz semigroup, provided…
math.AP2009★ 5 cited
On the 1D Modeling of Fluid Flowing through a Junction
Rinaldo M. Colombo, Mauro Garavello
Consider a fluid flowing through a junction between two pipes with different sections. Its evolution is described by the 2D or 3D Euler equations, whose analytical theory is far fr…
math.AP2009★ 1 cited
Control of the Continuity Equation with a Non Local Flow
Rinaldo M. Colombo, Michael Herty, Magali Mercier
This paper focuses on the optimal control of weak (i.e. in general non smooth) solutions to the continuity equation with non local flow. Our driving examples are a supply chain mod…