Geostrophic Vortices On a Sphere
Geostrophic Vortices On a Sphere
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In our eReader you can find the full English version of the book. Read Geostrophic Vortices On a Sphere Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Geostrophic Vortices On a Sphere
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are small at t = 0; and linearization with respect to these quantities is sufficient for the purpose of developing a linear stability criterion.
After somewhat lengthy computations the linear stability equations turn out to be: (5. 4) qi(x^-Oy^) = (A^-B^^ sin^j ^)y^ n 2Tr, ^' n 2w + C (-y) 5 a. Cos (j-1) £1 + C (7) ^ p. Sin (j-l) — . 1=1 "^ . 1=1 "^ n-1 , 2, 27r (5. 5) Qn (y +OX ) = -(A -B } cos'^j — )x \^ -jj ^l^^o o' ^o o 4— rr "^ n c J=0 + ^0(7) XZ «j sin (j-l) ^-C^i-y) \ ^. Cos (j-l) ^, 1^,... &r 27r- (5. 6) -q-L sin 7. P^ = ^ C^(7)[x^ sin (k-l) ^ - Y^ cos (k-l) ^] n n + 7Z \. P. + ZII Bj^Ja -a ), JT^k j= (5. 7) q^ sin 7. A.
_ 1^ C'(7)[x cos (k-l) — + y^ sin (k-l) ^] (X o^'^^'-o ^ ^n "^o ^ 'n n n > A, . A. + ^ C, . P . + Cp, ^ "kj J 4^ kj J ^k JA JA where 26 qi = A = 4a sm VTT M- 4b M-, ^ilL^ P;(l)+-^ P;(1)[C^(0, A)-C^(1, A)P;(1)] + n[C, (0, A)p'(l)P (cos -y) + 2C (2, a)P" (1)P" (cos 7) - P^(-cos 7) cos 7], B = sin^7[P"(-cos 7) +4c^(2, A)P;;(l)P;;(cos 7)], 0^(7) = P' (-cos 7) sin 7 - C^(l, A)P^(l)P^(cos 7) sin 7, \; 27r p'(-cos 7, .
What to read after Geostrophic Vortices On a Sphere?
You can find similar books in the "Read Also" column, or choose other free books by A S Peters to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
are small at t = 0; and linearization with respect to these quantities is sufficient for the purpose of developing a linear stability criterion.
After somewhat lengthy computations the linear stability equations turn out to be: (5. 4) qi(x^-Oy^) = (A^-B^^ sin^j ^)y^ n 2Tr, ^' n 2w + C (-y) 5 a. Cos (j-1) £1 + C (7) ^ p. Sin (j-l) — . 1=1 "^ . 1=1 "^ n-1 , 2, 27r (5. 5) Qn (y +OX ) = -(A -B } cos'^j — )x \^ -jj ^l^^o o' ^o o 4— rr "^ n c J=0 + ^0(7) XZ «j sin (j-l) ^-C^i-y) \ ^. Cos (j-l) ^, 1^,... &r 27r- (5. 6) -q-L sin 7. P^ = ^ C^(7)[x^ sin (k-l) ^ - Y^ cos (k-l) ^] n n + 7Z \. P. + ZII Bj^Ja -a ), JT^k j= (5. 7) q^ sin 7. A.
_ 1^ C'(7)[x cos (k-l) — + y^ sin (k-l) ^] (X o^'^^'-o ^ ^n "^o ^ 'n n n > A, . A. + ^ C, . P . + Cp, ^ "kj J 4^ kj J ^k JA JA where 26 qi = A = 4a sm VTT M- 4b M-, ^ilL^ P;(l)+-^ P;(1)[C^(0, A)-C^(1, A)P;(1)] + n[C, (0, A)p'(l)P (cos -y) + 2C (2, a)P" (1)P" (cos 7) - P^(-cos 7) cos 7], B = sin^7[P"(-cos 7) +4c^(2, A)P;;(l)P;;(cos 7)], 0^(7) = P' (-cos 7) sin 7 - C^(l, A)P^(l)P^(cos 7) sin 7, \; 27r p'(-cos 7, .
What to read after Geostrophic Vortices On a Sphere?
You can find similar books in the "Read Also" column, or choose other free books by A S Peters to read onlineMoreLess
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