A card from a free library — ask anything, no account, works offline. Every card carries its source.
Navier-Stokes existence and smoothness
A question
Navier-Stokes existence and smoothness. In three dimensions, smooth globally defined solutions of the Navier-Stokes equations exist for every smooth initial datum, or a counterexample does. Its chart is the tick stick stick_navier_stokes_existence_and_smoothness: what is sealed, what is cited and what stays open are read live at /stick?id=stick_navier_stokes_existence_and_smoothness. Open in three dimensions for large data; closed in two (Ladyzhenskaya 1959).
source
card id
card_question_navier_stokes
address
SCI.millennium.FCT/navier-stokes-existence-and-smoothness/REF.WITNESSED@clay-mathematics-institu
adjoining cards
- on the shelf of → The Millennium sources — the papers behind the seven sticks — one of the seven questions the Millennium shelf is about
- open end of → The Millennium floor - seven open questions, and where they connect — an open question hanging off the floor of what is proven
- cites → C. L. Fefferman 2000 — Existence and smoothness of the Navier-Stokes equation — the official description, or the proof, the question is read by
- connects at → The renormalization group, and the continuum limit as the question — The renormalization group, and the continuum limit as the question. wilson 1974; forster n
- connects at → Euler flow is geodesic flow on the volume-preserving diffeomorphisms — Euler flow is geodesic flow on the volume-preserving diffeomorphisms. arnold 1966. Cited,
- open end of → The logarithm - the instrument the joints share — the open question this chain reaches
- connects at → Kármán 1930 — Mechanische Ähnlichkeit und Turbulenz — where the logarithm enters: the law of the wall: the turbulent profile is logarithmic in t
- builds on → L. Caffarelli 1982 — Partial regularity of suitable weak solutions of the Navier-Stokes equations — a later work standing on an earlier one
Is this card incomplete? Tell the library — it will call out for more ↗