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19 Oct 2013: GRAVITY WAVE GENERATION BY VORTICAL FLOWS. IN A ROTATING FRAME. Rupert Ford. Churchill College Cambridge. A dissertation sublnitted for the degree of Doctor of Philosophy. at the University of Cambridge. October, 1993. To my grandparents. Margaret

19 Oct 2013: Another importantwave activity measure is given by the pseudomomentum vector,. p = kA =h′ u′. ... Because of the ray-invariance of absolute frequency we have that |kA| = |kB | asympto-tically.

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19 Oct 2013: GRAVITY WAVE GENERATION BY VORTICAL FLOWS. IN A ROTATING FRAME. Rupert Ford. Churchill College Cambridge. A dissertation sublnitted for the degree of Doctor of Philosophy. at the University of Cambridge. October, 1993. To my grandparents. Margaret

19 Oct 2013: ó ö ëLë BnF í öJLFLö-K ëlê D[F é KÁ@ òóí ø ê @pöFWK5î ð ø¥FWJö5ñ ê¥ò ø¥KpF ý ñ êÒëLê û#ø¥K¿ö-Dî ê Dù0JöJK5î[Jö-î ... ïí K5î ê F ê¥ò D ë F é öF@ ò D ú J ó K5îF é KÄ@pö ð ë K ëÁò ùbF é K

19 Oct 2013: J<6{4)01# "9#mI =9? : : "9#r=:; DJzG=x? 0- I?6,z#1 Kj BKj'Kä :6#(8º Jz0 G= 8G? ... 6'? ] BKj0G=>=# Kj Km'Kä :#I =º? :;81#G5#6: º#=>c0- "GG "(8º J= G= 0G=º# Km Kj'EKà :#c X8Ñ?

19 Oct 2013: iσζ̂ kA sinh kh = 0. and from the second (pressure) (). gζ̂ iσA cosh kh = 0. Regarding these as a system of two linear algebraic equations for the two unknown constants ζ̂

26 Jul 2013: FIG. 4. (Color online) Instantaneous velocity and pressure fields (left) and z component of the vorticity (right) for the in-plane beating oftwo flagella, with ka = kb = 0.05, R = 1, ... Bottom: Variation of the ratio of the minimum to themaximum of the

26 Jul 2013: ¤ and compute a matrix F with components fij = cij =( i ¤j ).The minimal-energy stabilizing feedback controller is then given by u = KÀ , whereK = B ¤ F ¡1.

26 Jul 2013: with similar viscosities (, ) and densities (, ),(b) dimensionless membrane-viscous number, Me U=KA, for two fluids separated by an elastic membrane(thickness t, area modulus KA, density m, bending stiff-ness ... f 2= is an intrinsic viscocapillary