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Gunilla Kreiss: Differentialekvationer som matematiska ... - Skolverket

Gunilla Kreiss: Differentialekvationer som matematiska ... - Skolverket

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!<br />

@ UU/IT<br />

UU/IT<br />

Navier-Stokes ekvation<br />

" = # #x , # #y , # ( #z),v<br />

= (u,v,w)<br />

#$<br />

+ " %(v$) = 0,<br />

#t<br />

$( #v<br />

#t + (v % ")v) = &"p + µ("2v + 1<br />

"(" % v))+ $f<br />

3<br />

Clay priset: den <strong>som</strong> bevisar att Navier-Stokes ekvationer har en<br />

lösning får 1 000 000$<br />

Lösning eller inte: ekvationen används för att simulera<br />

5/14/12 | #32

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