It is well accepted by physicists that the Manakov PMD equation is a good model to describe the evolution of nonlinear electric elds in optical bers with randomly varying birefringence. In the regime of the di usion approximation theory, an e ective asymptotic dynamics has recently been obtained to describe this evolution. This equation is called the stochastic Manakov equation. In this article...

subtle points in the semi-inverse method of nonlinear elasticity BY RICCARDO DE PASCALIS, MICHEL DESTRADE* AND GIUSEPPE SACCOMANDI Dipartimento di Matematica, and Sezione di Ingegneria Industriale, Dipartimento di Ingegneria dell’Innovazione, Università degli Studi di Lecce, 73100 Lecce, Italy Institut Jean Le Rond d’Alembert, CNRS (UMR7190), Université Pierre et Marie Curie, Case 162, 4 Place ...

We perform a propagation calculation for cosmic ray electrons and positrons using a three-dimensional di usion model, and use the resulting interstellar total electron spectrum to obtain the galactic di use photon spectrum due to inverse Compton, synchrotron and bremsstrahlung interactions consistently from radio to PeV energies. By considering the observed galactic non-thermal emission, we con...

The aim of this study is the evaluation of the e ect of microencapsulation of nanoparticles in composite microparticles on the reduction of burst release. Microparticles (simple and composite) and nanoparticles were prepared by using water-in-oil-in-water (W/O1/W2 double-emulsion solvent di usion/evaporation method), using di erent drug/polymer ratios. For preparation of the composite micropart...

Subgrid-scale models for large-eddy simulation that are based on exact series expansions for ltered products are considered. In particular, if the rst two terms are retained, the result is a di usive subgrid term with a tensor di usivity. This tensor is proportional to the rate-of-strain tensor of the large-scale velocity eld. This leads to negative di usion in the stretching directions. Implic...

In this paper we have chosen to work with two different approaches solving the inverse problem of calculus variation. The first approach is based on an integral representation Lagrangian function that uses equation motion while second one relies a generalization well known Noether's theorem and constructs directly from motion. As application provide some useful remarks for modified Emden-type t...

We present two generalisations of the Krylov subspace method, Arnoldi for the purpose of applying them to nite dimensional eigenvalue problems nonlinear in the eigenvalue parameter. The rst method is called nonlinear rational Krylov subspace and approximates and updates the projection of a linearised problem by nesting a one-sided secant method with Arnoldi. The second method, called nonlinear ...

In this paper we introduce and study a least squares nite element approximation for singu larly perturbed convection di usion equations of second order By introducing the ux di usive plus convective as a new unknow the problem is written in a mixed form as a rst order system Further the ux is augmented by adding the lower order terms with a small parameter The new rst order system is approximat...