A free boundary singular transport equation as a formal limit of a discrete dynamical system

We study the continuous version of a hyperbolic rescaling of a discrete game, called open mancala. The resulting PDE turns out to be a singular transport equation, with a forcing term taking values in {0,1}, and discontinuous in the solution itself. We prove existence and uniqueness of a certain for...

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Bibliographic Details
Published in:Journal of Differential Equations Vol. 396; pp. 1 - 43
Main Authors: Bellettini, Giovanni, Betti, Alessandro, Paolini, Maurizio
Format: Journal Article
Language:English
Published: Elsevier Inc 05-07-2024
Online Access:Get full text
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