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Partial resolution of Hilbert's sixth problem: Boltzmann's equation clarified

Three mathematicians solve a key part of Hilbert's sixth problem by rigorously proving Boltzmann's equation.

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The fact

Their work links the global behavior of gases to individual molecular movements, shedding light on the irreversibility of time.

This breakthrough opens new perspectives in statistical physics and thermodynamics.

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Why it matters

Le sixième problème de Hilbert, posé en 1900, visait à axiomatiser la physique. La résolution partielle de l'équation de Boltzmann marque une étape historique dans la compréhension des fondements mathématiques de la thermodynamique et de la physique des gaz.

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