Gravity Waves in a Heterogeneous Incompressible Fluid
Gravity Waves in a Heterogeneous Incompressible Fluid
M Yanowitch
The book Gravity Waves in a Heterogeneous Incompressible Fluid was written by author M Yanowitch Here you can read free online of Gravity Waves in a Heterogeneous Incompressible Fluid book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Gravity Waves in a Heterogeneous Incompressible Fluid a good or bad book?
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Prom (8I4. ) it follows that for real k |p^(k;t)| < 1 + JI = 1 + U(tJ.^/g)^/2 Consequently, Y„(0;k) Y„(y;k) p^^kjt)e^ / .
CO for sufficiently large n. Therefore, 2 A can be made arbitrarily M ^ small by choosing M sufficiently large. Furthermore, since GO CO P(k) = 0(k"""''"^), \ F(k)(^^ Ara^^^ °^^ ^® "^^^^ arbitrarily small -co by taking M sufficiently large, which shows that the integration and summation in (87") can be interchanged: ^ ^-"1 r 00 00 f Ok) r = (27iu)"^\ H J ( )!/' can be differentiated with respect to t, we observe that n ■en. :; ^e-io'-rnscii'Zif'i . ^t^o •. -- -, r .. R A^(k+Ut, y;k)e ^ L -OO -^ ^ ^ -ik(v^+U)t 1 + B^(x+Ut, y;k)e " J with A^(x+Ut, y;k) = (ZtiU) P(k)e jj-^-p 2v^(^t^-n) . -l.. , ... Ik(x. Ut)\(Q>^)^n(^>^) -n-^ „ /, ^ „!. 1 \ CO tt\-1t, m ^ ikix+ut; n ' n " ' n B^(x + Ut, y, -k) = (27IU) P(k)e |j^~|j-2 2^^^^^ (ff. FfPA, -: . ■;-■■'; > !■ in ;t r: ■. Li". Al s:. -;. ;: . Ix v •■iuxv 35 Consider first the terms for n > N. It has been shown in Section I that < (kv^)' < U.
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