Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow. (English) Zbl 1268.35087
Summary: We prove existence and uniqueness of measure solutions for the Cauchy problem associated to the (vectorial) continuity equation with a non-local flow. We also give a stability result with respect to various parameters.
MSC:
| 35L65 | Hyperbolic conservation laws |
Keywords:
system of conservation laws; continuity equations; Wasserstein distance; nonlocal flow; pedestrian trafficReferences:
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