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Coupled transport equations with freezing

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arxiv 2406.02707 v2 pith:ISIWEDLT submitted 2024-06-04 math.AP

Coupled transport equations with freezing

Krzysztof Burdzy , John Sylvester This is my paper
classification math.AP
keywords equationssolutionscontinuouscoupledfreezingtransportariseballs
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We study a system of two coupled transport equations with freezing. The solutions freeze in time when they are equal. We prove existence and uniqueness of continuous solutions if the initial conditions are continuous. We discuss several qualitative and quantitative properties of the solutions. The equations arise in a model for collisions of a large number of tightly spaced balls.

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