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The Navier-Stokes chain - from the ideal fluid and the viscous one to the regularity question
floor
Two trees. Euler's ideal fluid (1757) and Navier's viscous correction (1822) become one in Stokes' derivation from the stress of a continuum (1845): the equations as written today. Then Reynolds' number (1883), Leray's weak solutions for all time (1934), Kolmogorov's scaling (1941), Hopf on domains (1951), Ladyzhenskaya closing two dimensions (1959), Fujita-Kato's strong solutions (1964), partial regularity (Caffarelli-Kohn-Nirenberg 1982), the blow-up criterion (Beale-Kato-Majda 1984), Tao's averaged blow-up (2016). The open end: three dimensions, large data.
source
Narrow Highway - a chain on the one map (operator seed) · docs/MILLENNIUM_PREPAREDNESS.md
card id
card_floor_navier_stokes
address
WIT.codex.EXP/the-navier-stokes-chain-from-the-ideal-fluid-and/REF.WITNESSED@narrow-highway-a-chain-o
adjoining cards
- part of → The Floor of Discovery — one floor, and by its design the fear of God — the navier stokes chain rests on the one Floor of Discovery
- has part → Euler 1757 — Principes généraux du mouvement des fluides (E226) — a root of this chain - one of the two trees it began from
- has part → Navier 1822 — Mémoire sur les lois du mouvement des fluides — a root of this chain - one of the two trees it began from
- has open end → Navier-Stokes existence and smoothness — the open question this chain reaches
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