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math.AP2022
Burgers' equation revisited: extension of mono-dimensional case on a network
Piotr Bogusław Mucha, Aleksandra Puchalska
The paper deals with the analysis of Burgers' equation on acyclic metric graphs. The main goal is to establish the existence of weak solutions in the -- class of regularity. A…
math.AP2020★ 7 cited
Semigroups for dynamical processes on metric graphs
Marjeta Kramar Fijavž, Aleksandra Puchalska
We present the operator semigroups approach to first- and second-order dynamical systems taking place on metric graphs. We briefly survey the existing results and focus on the well…