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...

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Hauptverfasser: Bellettini, Giovanni, Betti, Alessandro, Paolini, Maurizio
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Sprache:eng
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