Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory · HackerPapers discussions

Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory — HN submission

Wed, 02 Jul 2025 00:31:48 GMT

Hilbert's sixth problem: derivation of fluid equations via Boltzmann's theory

154 points; 99 discussion replies on HN. Paper and source history. A submission is not an endorsement.

Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory — mentioned by JohnKemeny

Sat, 26 Apr 2025 06:00:49 GMT

And arXiv link: https://arxiv.org/abs/2503.01800

Paper and discussion history. A mention is not an endorsement.

Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory — mentioned by TimorousBestie

Tue, 22 Apr 2025 03:30:36 GMT

https://arxiv.org/abs/2503.01800 This is the preprint in question. I haven’t reviewed it rigorously, but I’m a mathematician in a vaguely related domain and the proof outline seems plausible to me. Prior work in https://arxiv.org/pdf/2408.07818 claims to prove that Boltzmann’s laws are the limit of a certain species of “hard sphere dynamics” as the number of particles gets large and the radius shrinks. This in the setting of unbounded Euclidean space. This is known classically for short time, which is why the 2024 paper purports to cover long time evolution. The new preprint proves this…

Paper and discussion history. A mention is not an endorsement.

Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory — HN submission

Tue, 15 Apr 2025 12:34:52 GMT

Hilbert's sixth problem: derivation of fluid equations via Boltzmann's theory

2 points; 1 discussion reply on HN. Paper and source history. A submission is not an endorsement.

Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory — HN submission

Sat, 15 Mar 2025 08:16:08 GMT

Hilbert's 6.problem:derivation of fluid equations via Boltzmann's kinetic theory

1 point; 0 discussion replies on HN. Paper and source history. A submission is not an endorsement.

Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory — HN submission

Wed, 05 Mar 2025 16:12:05 GMT

Hilbert 6th problem: derivation of fluid equations via Boltzmann kinetic theory

3 points; 0 discussion replies on HN. Paper and source history. A submission is not an endorsement.

Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory — HN submission

Tue, 04 Mar 2025 21:33:21 GMT

Hilbert's Sixth Problem Resolved

1 point; 0 discussion replies on HN. Paper and source history. A submission is not an endorsement.