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Highly Oscillatory Diffusion-Type Equations Sevda Ü. Altınbaşak…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_14.pdf25 Nov 2011: u(1, t) = ν(t) = eω2t cos ω b. ω2. (1 eω. ... p0(1, t) = ν(t) = eω2t cos ω b. ω2. (1 eω. -
INSTITUTE OF PHYSICS PUBLISHING NONLINEARITY Nonlinearity 18 (2005)…
www.damtp.cam.ac.uk/user/gold/pdfs/spin.pdf10 Apr 2011: B s =(. η2. 4 ζ 2. )1/2 [Bx sin ω By cos ω. ] ... s = η2. [sin θ sin ωx̂ sin θ cos ωŷ cos θ ẑ. ]. -
Mathematical Tripos Part III 2007–08Fundamentals of Atmosphere–Ocean…
www.damtp.cam.ac.uk/user/mem/III-NOTES/mcintyre-fund-atm-oc-dynamics-exs-4.pdf15 Jul 2011: ψ′ = Re. [. N 2H. f0 m sin(mH)eikx sin(ly) cos{m(z H)}. ]. ... ψ′ = Re[. eikx sin(ly){. B (t t0) cos(mz) C (z H) sin(mz)}]. ,. -
Flows driven by flagella of multicellular organismsenhance long-range …
www.damtp.cam.ac.uk/user/gold/pdfs/flagflows.pdf10 Apr 2011: In a coordinate system moving at the speed of the colony, theradial and polar velocities are ur U[(c x3)cos A(x, )]and u U[(d x3)sin B(x, )], ... B 254, 107–113.12. Berg, H. C. & Purcell, E. M. (1977) Biophys. -
INSTITUTE OF PHYSICS PUBLISHING NONLINEARITY Nonlinearity 14 (2001)…
www.damtp.cam.ac.uk/user/gold/pdfs/quantray.pdf10 Apr 2011: as a Fourier series:. R(z) = R0(. 1. 0dq b(q) cos(qz φ(q)). ... Our aim is to expand up to second orderin the coefficients b(q) characterizing the deformation. -
Asymptotic solvers for ordinary differential equations with multiple…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_11.pdf13 Aug 2011: 2i{(iωI A)1[et(iωA) I] (iωI A)1[et(iωA) I]}b. = etAy0 (ω2I A2)1Ab sin ωt ω(ω2I A2)1b cos ωt+ ω(ω2I A2)1etAb. ... I ω2A2)1Ab. = etAy0. r=0. (1)r. ω2r1(etA cos ωtI)A2rb sin ωt. -
PHYSICS OF FLUIDS VOLUME 10, NUMBER 11 NOVEMBER 1998 ...
www.damtp.cam.ac.uk/user/gold/pdfs/pinching.pdf10 Apr 2011: 2 ix1 (uku>2. ĥkeikx. 5 h̄1uĥ1uS 2 cos x1 f! 1 (uku>2. ... h x,t 5 0!5 h̄ 11 a cos x!, 0<x<2p. 58! -
PII: S0031-8914(37)80203-7
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/hamaker.pdf6 Oct 2011: 0 0 0o b e i n g g i v e n b y :. R 2 = R 2 r 2 - 2 r R cos 00 (3). ... y b e t w e e n 1 a n d oo. -
The Chemical Basis of Morphogenesis A. M. Turing Philosophical ...
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/turing1952.pdf10 Apr 2011: VOL.2 3 7. B. 641. (Price 8s.) 5 [Published I 4Augucit I 952. ... b ) T h a t if A = A' ei$ and b = a$, where A', a, P, 41 are real, then ,%?Aebt= A' eat cos (pt 4). -
g.dvi
www.damtp.cam.ac.uk/user/na/people/Alexei/papers/markov.pdf1 Sep 2011: x[1,1]|f(x)|, and Tn(x) := cos n arccos x is the Chebyshev polynomial. ... otherwise. b) if νi > 0, then σi (λi,νi), c) if νi < 0, then σi (νi,µi). -
Fundamentals of Atmosphere–OceanDynamics M. E. McIntyre LATEX version …
www.damtp.cam.ac.uk/user/mem/III-NOTES/mcintyre-fund-atm-oc-dynamics-notes.pdf14 Jul 2011: The z′ cpt of (2.1 a) is simply. i ω ŵ′ = σ̂ cos θ (2.12 a). ... and (2.1 b) reduces to. i ω σ̂ = N 2 ŵ′ cos θ (2.12 b).
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