Concept information
Terme préférentiel
Korn's inequality
Définition
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In mathematical analysis, Korn's inequality is an inequality concerning the gradient of a vector field that generalizes the following classical theorem: if the gradient of a vector field is skew-symmetric at every point, then the gradient must be equal to a constant skew-symmetric matrix. Korn's theorem is a quantitative version of this statement, which intuitively says that if the gradient of a vector field is on average not far from the space of skew-symmetric matrices, then the gradient must not be far from a particular skew-symmetric matrix. The statement that Korn's inequality generalizes thus arises as a special case of rigidity.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Korn%27s_inequality)
Concept générique
Traductions
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français
URI
http://data.loterre.fr/ark:/67375/PSR-V5QXH4FW-N
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