WikiCards · Card list · Science cards · Navier–Stokes existence and smoothness
Rare card · Science
Navier–Stokes existence and smoothness, a Rare card
The question of whether the Navier–Stokes equations always have smooth solutions in three-dimensional Euclidean space, given some initial conditions and possibly an external force, has been a longstanding unsolved problem in mathematics since the early 20th century.
- Rarity
- Rare
- Domain
- Science
- ATK
- 73
- DEF
- 39
- Power
- 112
- Wikipedia reads a year
- 460,000
Power 112 (ATK + DEF): stronger than 65 % of WikiCards cards.
The facts on the card
The card carries these facts from its Wikipedia article.
- The equations are a system of partial differential equations that describe the motion of a fluid in space.
- Although computational solutions to the Navier–Stokes equations are used in a large number of practical applications, there is no complete analytical understanding of the solutions.
- In particular, solutions of the Navier–Stokes equations often include turbulence, which remains one of the greatest unsolved problems in physics, despite its immense importance in science and engineering.
Why it is Rare
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Navier–Stokes existence and smoothness article was read about 460,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 73 and blocks with 39: each hit it takes is cut by 16 %.
How to get Navier–Stokes existence and smoothness
Open packs. Each pack holds five cards drawn from real Wikipedia articles, the rarest last, and the fifth card is always Rare or better. The odds are shown in the game. A free pack arrives every hour and two can wait, and the Coins you win in duels buy more packs.
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Credits
Text : Wikipedia, Navier–Stokes existence and smoothness (revision), CC BY-SA 4.0. Photo : C. Fukushima and J. Westerweel, Technical University of Delft, The Netherlands, CC BY 3.0, Wikimedia Commons.

