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5 Dec 2008: This equation determines λ as a function of α. 24. Cop.

3 Oct 2008: 24. the three coordinate directions. They span a parallelepiped of volume.

30 Sep 2008: with width 1/σ (See figure (13)) We will now evaluate the resulting wave-function bysubstituting (24) for A in (23),. ... ψ|2U. 0x0(t). Figure 24: Initial state of wavepacket. x. |ψ|2U. 0.

25 Sep 2008: For = (ts t) 1 it follows from (3) and (23)that the dimensional blowing velocity has magnitudev̂b = O(U Re12 74 ) : (24)This blowing velocity causes a perturbation to the inviscid ... the continuity equation it follows thatthe perturbation velocity in

23 Sep 2008: f• -. •'(y, z) (24). and the mean meridional and vertical velocities •,fv satisfy a zonally symmetric mass-conservation equation of the form. ... A more accurate 92 - version of (26), based on a more accurate version of (24), is presented by P.

11 Aug 2008: 24,25]. By studying the stability of these steady-state solutions, one finds that with homogeneous pumpingthese solutions become unstable to breaking of rotationalsymmetry. ... 24] M. A. Porras, A. Parola, D. Faccio, A. Dubietis, and P.

1 Aug 2008: µ4(ω) =25I0(τ). 2. ωΘ. [2]0 (ω). 8. ω2Φ. [2]0 (ω). 24.

31 Jul 2008: 9.3.9]:. u0(t) = 1, u1(t) =3t 5t3. 24, u2(t) =. 81t2 462t4 385t61152. , ... 9.6.24]. Kν (νz) =1. 2. eνφ(v) dv, φ(v) = z cosh v v.

3 Jul 2008: 1 |φn |2)p2 d x (24). and1. 4π. jφp(x)d x = limn1. ... Ann. Math. 113, 1–24 (1981)22. Schoen, R., Uhlenbeck, K.: Boundary regularity and the Dirichlet problem for harmonic maps.

3 Jul 2008: self-dual structure provides a useful way of rewriting this formula as in (2.24), in terms. ... behaviour of critical points in the λ limit, starting with [4]; see [24] and references.