Navier–Stokes existence and smoothnessNavier–Stokes existence and smoothness
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What Wikipedia says
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.
Excerpt from the Wikipedia article “Navier–Stokes existence and smoothness”, under the CC BY-SA 4.0 license. Read the article on Wikipedia
Image: C. Fukushima and J. Westerweel, Technical University of Delft, The Netherlands, CC BY 3.0, via Wikimedia Commons.
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