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1 Jul 2008: The Riemann–Hilbert factorization problem underlies this approachto integrability: it appears in classical solution generating techniques such as dressingtransformations [18], as well as in the twistor treatment of ASDYM [24]. ... Math. Phys. 7

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.

1 Apr 2008: Multiple Jets as PV Staircases: The Phillips Effect and the Resilience ofEddy-Transport Barriers. D. G. DRITSCHELMathematical Institute, University of St. Andrews, St. Andrews, United Kingdom. M. E. MCINTYRECentre for Atmospheric Science, Department

27 Jan 2008: A Theoretical Framework forBackward Error Analysis on Manifolds. Anders C. Hansen. January 25, 2008. DAMTP, Centre for Mathematical SciencesUniversity of Cambridge, Wilberforce Rd, Cambridge CB3 0WA. e-mail: A.Hansen@damtp.cam.ac.uk, Ph: 44 1223

29 Jan 2008: B. PerrinLaboratoire Pierre Aigrain, UMR 8551, CNRS, Ecole Normale Supérieure,Département de Physique, 24 rue Lhomond, 75231 Paris Cedex 05, France. ... Combining Eqs. 21, 24, and 25 leads to the nonlin-ear diffusion equation satisfied by the local

24 Apr 2008: d4x Tr (δAµ δAµ) = 2Sinst ρ2 (1.24). Note that, unlike the others, this component of the metric depends on the collective. ... in 5 1 dimensions is a sigma-model on a hyperKähler target space [24] which, for.

3 Jun 2008: Consider a single first order PDE. F(x1,. ,xn,u,. u. x1,. ,. u. xn. )= 0. (4.1). 24. This PDE defines a co–dimension one manifold M J1(Rn, R) of

6 May 2008: L. (3.24). By taking logarithms of both sides of expression (3.23), we find the inequality.

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

8 Apr 2008: 23. 2.2.4 N = 1 Supersymmetry Representations. 24. 2.2.5 Massless Supermultiplet. ... i.e. as predicted 16 = 24 states in total. Notice that these multplets are much larger than the.