Local Conservation Laws and Entropy Inequality for Kinetic Models with Delocalized Collision Integral

Frédérique Charles; Zhe Chen; François Golse

doi:10.1142/s0218202526400038

December 11, 2025Mathematical Models and Methods in Applied Sciences

Local Conservation Laws and Entropy Inequality for Kinetic Models with Delocalized Collision Integral

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Key Points

To explore the formulation of delocalized collision integrals and their implications in kinetic theory.
Introduced a common framework for kinetic models involving delocalized collision integrals.
Analysed the last results on conservation laws and some phase space diverging currents.
Extended previous results on the Boltzmann equation to dense gas models.
Expressed collision integrals as mass currents diversions indicating local conservation laws.
Obtained a local variant of the Boltzmann H Theorem related to entropy production.
Demonstrated relationships between energy currents and the divergence in phase space.

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Implication

This article demonstrates entropy production in kinetic models, revealing local conservation laws for energy and momentum in dense gases, indicating implications for gas dynamics.

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Cite This Study

Charles et al. (2025) studied this question.

synapsesocial.com/papers/69401b172d562116f28f7532 https://doi.org/10.1142/s0218202526400038

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Local Conservation Laws and Entropy Inequality for Kinetic Models with Delocalized Collision Integral

Key Points

No abstract yet

Implication

Discussion

Cite This Study

Local Conservation Laws and Entropy Inequality for Kinetic Models with Delocalized Collision Integral

Key Points

No abstract yet

Implication

Discussion

Cite This Study

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