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27 Jul 2015: for step-function boundaries, and. for smooth profiles, where next=6,6e8 cm-3, nint=3,3e9 cm-3, T=2e5 K, B=20G. ... Initial perturbation was set up as follows:. 2. Some simple theory:Quasi-periodic wave trains depend:.

12 Mar 2015: If the. medium moves with 3-velocity v in some inertial frame, show that the current in that. ... frame is. J = ρv σγ. (E v B. 1. c2(v E)v. ).

4 Oct 2015: ρ̃(λ) ρ̃N (λ) =N. k=N. 〈ρ,χk,〉χk,(λ), λ [a,b], (4). for some fixed N N. ... This theoretical approach makes some assumptions that generally holds well forneutrons, for example. •

26 Oct 2015: for some given function f : [0, a] [0, b] R.The fundamental idea that allows us to make progress is to assume that ψ takes the. ... the eigenvalue must be restricted to λ = (2πn)2 for some n Z.

30 Nov 2015: Indeed, suppose we specify. n φ| = g for some choice of function g : R. ... The method of images can also be applied to (some) more complicated domains.

17 Dec 2015: Exponential integrators.Many ‘difficult’ ODEs can be written in the form ẏ = Ayb(y) where the matrixA is ‘larger’ (in some sense) than b(y) – for example, A may be the ... Here we list some 2D vector fields whose integrability is preserved by

3 Apr 2015: for some K 1, something that can be usually verified easily by Taylor. ... N;. 3. The differentiation matrix DN be skew-symmetric, banded (i.e., Dk, = 0 for|k | r 1 for some r 1) and suppose that maxk, |Dk,| b?N, whereb? >

4 Oct 2015: ρ̃(λ) ρ̃N (λ) =N. k=N. 〈ρ,χk,〉χk,(λ), λ [a,b], (4). for some fixed N N. ... This theoretical approach makes some assumptions that generally holds well forneutrons, for example. •

21 Jan 2015: Simple one-dimensionalmodels are developed to describe some of the observed features of the relationshipNu(). ... a) Dimensionalvariables. (b) Dimensionless variables. system that capture some of the observed features of the relationship Nu(), and

13 Jan 2015: By symmetry E is perpendicular to P. Above P we haveE = Ek and below E = Ek for some E = E(h). ... we use in practice. Suppose we have found some A which yields the required B via (21), and issuch that A = ψ, where ψ is a scalar field, calculable, as

28 Sep 2015: by of nonlinear dynamical systems (either differential equations or maps). Of course some things. ... ω(x) {y : φtn(x) y for some sequence of times t1, t2,. ,

18 May 2015: Drazin Nonlinear Systems [CUP].Covers a great deal of ground in some detail. ... V̇ < 0 outside some neighbourhood of the origin.We call these bounding functions.

30 Nov 2015: It’s just a (common) convention I adopted to make some later formulae. ... Indeed, many functions are simply defined to be the integral of some other.

8 Nov 2015: We conclude the article with some examples suggesting that our rather abstract framework will indeedbe useful in applications. ... Before we continue let us define some functions that will be crucial throughout the paper.

8 Nov 2015: We conclude the article with some examples suggesting that our rather abstract framework will indeedbe useful in applications. ... Before we continue let us define some functions that will be crucial throughout the paper.

2 Mar 2015: The symmetry may hold for some terms in the Lagrangian,but not others. ... The first is baryon-number violation. There must be some pro-cess between state X and state Y which yields a baryon excess (B):X Y B.26 26 This is