2 papers
math.AP2026
Network transport with nonlinear dynamics at the nodes
Jacek Banasiak, Adam BÅoch
In this paper, we consider a network transport model in which agents moving along the edges can contribute to dynamics at nodes or bypass them. The model takes the form of a system…
math.DS2024
Existence and explicit formula for a semigroup related to some network problems with unbounded edges
Adam BÅoch
In this paper we consider an initial-boundary value problem related to some network dynamics where the underlying graph has unbounded edges. We show that there exists a C0-semigrou…