Fig. 1. Omnidirectional energy spectrum E(k) versus wavenumber k, computed from Eqs. (9)-(11), for the case A = 0:7, = 1, varying the rotation rate = 0; 10; 100. There is a smooth transition from the Komogorov`? 5=3' case = 0 to a spectrum = 100 that approaches a ` ? 2' form. Spontaneous breaking of reeexional symmetry in real quasi-two-dimensional turbulence: stochastic traveling waves and hel...

Again, these quantities will be more sensitive if the moments of inertia are close than if they are widely spaced. For a vehicle with nominal inertias satisfying I1 D 2I3 and I2 D 1:5I3, and the 1% normalized inertia perturbations considered earlier, arctan ° can vary from 31.8 to 38.7 deg, a total range of 6.9 deg. Using Eqs. (13) and (14) together allows the possible variations in absolute se...

The electroelastic 4 × 4 Green’s function of a piezoelectric hexagonal (transversely isotropic) infinitely extended medium is calculated explicitely in closed compact form (eqs. (73) ff. and (88) ff., respectively) by using residue calculation. The results can also be derived from Fredholm’s method [2]. In the case of vanishing piezoelectric coupling the derived Green’s function coincides with ...

Traveling waves u(x st) for systems of conservation laws ut + Df(u)ux = (B(u)ux)x were studied by Majda and Pego (J. Di erential Eqs. 56 (1985), 229{262) under the assumption that u( 1) and u(+1) are close. Their results were recently extended to general convection-di usion systems ut +A(u)ux = (B(u)ux)x by Sainsaulieu (SIAM J. Math. Anal. 27 (1996), 1286{1310). Sainsaulieu's proofs use xed-poi...

where θ = n̄Γ(k)Γ(k+1/μ) and H(·) is the Fox generalized hypergeometric function or H-function. For μ = 1 the NBD is recovered. For μ > 1 Pn is not infinitely divisible and the factorial cumulants of the distribution exhibit nontrivial sign-changing oscillations. Eqs. (2)-(3) involve as special and limiting cases the Poisson transform of numerous classical probability densities such as the Chi, ...

1 Faculty of Cybernetics, T.Shevchenko National University of Kyiv, Volodymyrska 64, 01030 Kyiv, Ukraine. 2 CIRAD, UMR CBGP, F-34398 Montpellier, France & CNLAA, BP125, 86343 Inezgane, Morocco & University Ibn Zohr, Agadir, Morocco Abstract In this paper we study a nonlinear age-structured model of locust population dynamics with variable time of egg incubation that describes the phase polyphen...

It is shown that the recently found non-uniqueness of the third post-Newtonian binary point-mass ADM-Hamiltonian is related to the non-uniqueness at the third post-Newtonian approximation of the applied ADM-coordinate conditions. PACS number(s): 04.25.Nx, 04.30.Db, 97.60.Jd, 97.60.Lf In a recent paper [1] the authors reported on the non-uniqueness of the 3rd post-Newtonian ADM-Hamiltonian for b...

The relay station simply rebroadcasts the signal it receives from the source, at exactly the instant that it receives it. The relay station therefore has no effect on the signal received by the observer, but it serves as a crutch for our thinking— it allows us to divide the problem into two parts, each already solved. Let ∆t denote the time interval between wave crests, with subscripts to indic...

Here is the horizontal velocity vector, is the vertical component of the vorticity, is the Coriolis parameter, is the depth of the fluid, is the height of the “bottom topography,” is the acceleration of gravity, and is the kinetic energy per unit mass. In (7.1), all frictional effects have been neglected, for simplicity. A very useful idealized subset of the shallow-water system describes the s...