Radiation effect on MHD free-convection flow of a gas at a stretching surface with a uniform free stream.
Radiation reaction, renormalization and Poincaré symmetry.
Radiaton effects on unsteady MHD free convection with Hall current near an infinite vertical porous plate.
Raman laser : mathematical and numerical analysis of a model
In this paper we study a discrete Raman laser amplification model given as a Lotka-Volterra system. We show that in an ideal situation, the equations can be written as a Poisson system with boundary conditions using a global change of coordinates. We address the questions of existence and uniqueness of a solution. We deduce numerical schemes for the approximation of the solution that have good stability.
Raman laser: mathematical and numerical analysis of a model
In this paper we study a discrete Raman laser amplification model given as a Lotka-Volterra system. We show that in an ideal situation, the equations can be written as a Poisson system with boundary conditions using a global change of coordinates. We address the questions of existence and uniqueness of a solution. We deduce numerical schemes for the approximation of the solution that have good stability.
Random Schrödinger operators with a constant electric field
Recherches sur la dispersion anomale
Recherches sur le pouvoir réfringent des liquides
Reconstruction of thickness variation of a dielectric coating through the generalized impedance boundary conditions
We deal with an inverse scattering problem whose aim is to determine the thickness variation of a dielectric thin coating located on a conducting structure of unknown shape. The inverse scattering problem is solved through the application of the Generalized Impedance Boundary Conditions (GIBCs) which contain the thickness, curvature as well as material properties of the coating and they have been obtained in the previous work [B. Aslanyürek, H. Haddar and H.Şahintürk, Wave Motion 48 (2011) 681–700]...
Recovering quantum graphs from their Bloch spectrum
We define the Bloch spectrum of a quantum graph to be the map that assigns to each element in the deRham cohomology the spectrum of an associated magnetic Schrödinger operator. We show that the Bloch spectrum determines the Albanese torus, the block structure and the planarity of the graph. It determines a geometric dual of a planar graph. This enables us to show that the Bloch spectrum indentifies and completely determines planar -connected quantum graphs.
Reductions of multicomponent mKdV equations on symmetric spaces of DIII-type.
Reflection curves -- new computation and rendering techniques.
Regularized derivatives in a 2-dimensional model of self-interacting fields with singular data.
Remarques sur les Mémoires relatifs à la théorie de la lumière, renfermés dans les Exercices d'Analyse et de Physique mathématique de Cauchy
Remarques sur l'optique géométrique non linéaire multidimensionnelle
Řešení rovnic pro pohyb elektronu v homogenním časově proměnném magnetickém poli
Residual based a posteriori error estimators for eddy current computation
Residual based a posteriori error estimators for eddy current computation
We consider H(curl;Ω)-elliptic problems that have been discretized by means of Nédélec's edge elements on tetrahedral meshes. Such problems occur in the numerical computation of eddy currents. From the defect equation we derive localized expressions that can be used as a posteriori error estimators to control adaptive refinement. Under certain assumptions on material parameters and computational domains, we derive local lower bounds and a global upper bound for the total error measured in...
Resolution of the Maxwell equations in a domain with reentrant corners
Résultats récents sur la limite incompressible
La compréhension du passage des équations de la mécanique des fluides compressibles aux équations incompressibles a fait de grands progrès ces vingt dernières années. L’objectif de cet exposé est de présenter l’évolution des méthodes mathématiques mises en œuvre pour étudier ce passage à la limite, depuis les travaux de S. Klainerman et A. Majda dans les années quatre–vingts, jusqu’à ceux récents de G. Métivier et S. Schochet (pour les équations non isentropiques). Suivant les conditions initiales...