November 8, 2025Open Access

Dynamic Optimal Transport with Optimal Preferential Paths

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Authors

MCMarcello Carioni JKJuliane KrautzUniversity of Augsburg JPJan-F. Pietschmann

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Implication

This analysis demonstrates the existence of optimizers in dynamic transport scenarios, indicating novel approaches for time-dependent curves and states.

Key Points

Existence of minimizers is ensured via calculus of variations, emphasizing the impact of system parameters.
The study shows asymptotic properties of the optimizers influenced by dynamics in both bulk and non-intersecting curves.
Approach includes incorporating Tangent-Point energy to maintain regularity properties of curves, preventing self-intersections.
Numerical simulations extend the analysis, showcasing behaviours of geodesics under varying conditions.

Cite This Study

Carioni et al. (2025) studied this question.

synapsesocial.com/papers/690e8b6ca5b062d7a4e7361a https://doi.org/10.48550/arxiv.2504.03285

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Implication

This analysis demonstrates the existence of optimizers in dynamic transport scenarios, indicating novel approaches for time-dependent curves and states.

Dynamic Optimal Transport with Optimal Preferential Paths

Discussion

Member takes

Implication

Key Points

Cite This Study

Dynamic Optimal Transport with Optimal Preferential Paths

Discussion

Member takes

Implication

Key Points

Cite This Study

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