We report the first attempt to mode decomposition of the velocity field using wavelet transforms in the application to the magnetized turbulence analysis. We compare results of the separation with respect to the global and local mean magnetic field for models with a strong and weak external magnetic fields. We show, that for models with a strong external magnetic field our results are relativel...

We prove a generalization to the case of s × s matrix linear differential operators of the classical theorem of E. Cotton giving necessary and sufficient conditions for equivalence of eigenvalue problems for scalar linear differential operators. The conditions for equivalence to a matrix Schrödinger operator are derived and formulated geometrically in terms of vanishing conditions on the curvat...

plane and is composed of "large" corrugations or bumps—large in the sense that the radius of curvature at any point of S is much larger than a wavelength. Above S there is a field (x, y, z)e~""1 which varies harmonically in time with the radial frequency to and which satisfies the wave equation W + k2ip = — 4ttt, (1) k being the propagation constant co/c and r the distribution of sources. Final...

We establish the Liouville integrability of the differential equation Ṡ(t) = [N, S(t)], recently considered by Bloch and Iserles. Here, N is a real, fixed, skewsymmetric matrix and S is real symmetric. The equation is realized as a Hamiltonian vector field on a coadjoint orbit of a loop group, and sufficiently many commuting integrals are presented, together with a solution formula for their re...

We study the initial boundary value problem for Einstein’s vacuum field equation. We prescribe initial data on an orientable, compact, 3-dimensional manifold S with boundary 6 6= ∅ and boundary conditions on the manifold T = R0 × 6. We assume the boundaries 6 and {0} × 6 of S and T to be identified in the natural way. Furthermore, we prescribe certain gauge source functions which determine the ...

This study examines the influence of psychological contracts on the relations between social ties and knowledge exchange in virtual teams. We empirically tested our model in a field study of virtual teams in a large, multinational R&D firm. Results of structural equation modeling suggest two important antecedents to psychological contracts of knowledge sharing: instrumental and relational embed...

The boundary integral equation (BIE) method was first proposed by Yan and Sakurai [2000], which is used to extrapolate the nonlinear force-free magnetic field in the solar atmosphere. Recently, Yan and Li [2006] improved the BIE method and proposed the direct boundary integral equation (DBIE) formulation, which represents the nonlinear force-free magnetic field by direct integration of the magn...

We separate the field generated by a spherically symmetric bounded scalar monochromatic source into a radiative and non-radiative part. The non-radiative part is obtained by projecting the total field on the space spanned by the non-radiating inhomogeneous modes, i.e. the modes which satisfy the inhomogeneous wave equation. Using residue techniques, introduced by Cauchy, we obtain an explicit a...

We study the conditions under which an overdamped regime can be attained in the dynamic evolution of a quantum field configuration. Using a ∗E-mail: [email protected] †E-mail: [email protected]. NSF Presidential Faculty Fellow. ‡E-mail: [email protected] 1 real-time formulation of finite temperature field theory, we compute the effective evolution equation of a ...