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This is a Quantitative Study study.

October 20, 2025Open Access

Dynamic Optimal Transport with optimal star shaped graphs

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Authors

MCMarcello Carioni JKJuliane KrautzUniversity of Augsburg JPJan-F. Pietschmann

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Implication

This research demonstrates existence of solutions for optimal transport in star-shaped graphs, indicating potential applications in mathematical modeling.

Key Points

Existence of solutions is proven for fixed graphs in an optimal transport problem involving star-shaped graphs.
The study incorporates a penalty to maintain graph topology, enhancing the mathematical approach in this context.
Dynamic optimal transport is coupled with bulk transport within a compact convex set for effective analysis.
Standard techniques from Calculus of Variations are utilized to establish the existence of minimizers.

Cite This Study

Carioni et al. (2025) studied this question.

synapsesocial.com/papers/68f6379bb481a140a36cf65d https://doi.org/10.48550/arxiv.2506.15007

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Implication

This research demonstrates existence of solutions for optimal transport in star-shaped graphs, indicating potential applications in mathematical modeling.

Dynamic Optimal Transport with optimal star shaped graphs

Discussion

Member takes

Implication

Key Points

Cite This Study

Dynamic Optimal Transport with optimal star shaped graphs

Discussion

Member takes

Implication

Key Points

Cite This Study

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