In order to suppress the round-off error and to avoid blow-up, a regularized logarithmic Schr¨ odinger equation (RLogSE) is proposed with a small regularization parameter 0 < ε ≪

We will get a rate of convergence for rough initial data by combining precise stability estimates for the scheme with information coming from the study of the Cauchy problem for the

Laboratoire Analyse Comparée des Pouvoirs (EA 3350)• Université Paris-Est Marne-la-Vallée • http://acp.univ-mlv.fr/?. Jeudi

Le travail sur le réseau de haute et très haute tension (pylônes), où l’aspect mécanique prime finalement sur l’aspect électrique, nécessite une formation

Here we take the logarithmic Schr¨ odinger equation (LogSE) as a prototype model. Moreover, the conserved energy of the ERLogSE converges to that of LogSE quadratically, which

Investigation and treatment of poor drains of dialysate fluid associated with anterior abdominal wall leaks in patients on chronic ambulatory peritoneal

P ROPOSITION 1.8.. different from the dynamics for NLS with a power-type nonlinearity. There is confinement in the first direction, and a strong dispersion in the second one. Outline

En revanche, la taille de portions sélectionnées toute catégories confondues dans le cas de l’ENL (OR=0.99, p=0.2) n’était pas significativement différente du contrôle sans

cles, volatile substances and a low ferriclferrous ratio /I/. It has been established for some time that the occurence of tektites is associated with meteoritic impact; the

Logarithmic Choquard equation; planar Schrödinger–Newton system; positive ground state solution; asymptotics;

Remaud , General properties of Gausson-conserving descriptions of quantal damped motion, Physica A, 105 (1980), pp. Makridakis , A space-time finite element method for the

By applying a prism to the lens of a telescope, [Arago] had proved not only that the same refraction tables can serve for the light that the Sun emits and

[74] Par ailleurs, l’AQCIE-CIFQ recommande que le Transporteur présente, dans ses prochains dossiers relatifs au budget des investissements pour les Projets inférieurs à 25 M$,

We assume that all vehicles in our experiment can send their FCD through the cellular network (LTE or 3G). As for the DSRC penetration rate p, it ranges between 0% and 100%. We have

Abstract : We use in this paper the semi-implicit finite difference operator splitting Padé (OSPD) method for solving the coupled higher-order nonlinear Schrödinger equation,

Abstract: We use in this paper the semi-implicit finite difference operator splitting Padé (OSPD) method for solving the coupled higher-order nonlinear Schrödinger equation,

— Dark matter is something that we cannot see directly in telescopes, but is needed to explain the dynamics of stars within individual galaxies and the dynamics of the whole

Abstract: In this communication, we use the semi-implicit finite difference operator splitting Padé method to solve the higher-order nonlinear Schrödinger equation with higher