On the Virasoro structure of symmetry algebras of nonlinear partial differential equations.
On Two-Dimensional Quasi-Linear Elliptic Systems.
On uniqueness in electromagnetic scattering from biperiodic structures
Consider time-harmonic electromagnetic wave scattering from a biperiodic dielectric structure mounted on a perfectly conducting plate in three dimensions. Given that uniqueness of solution holds, existence of solution follows from a well-known Fredholm framework for the variational formulation of the problem in a suitable Sobolev space. In this paper, we derive a Rellich identity for a solution to this variational problem under suitable smoothness conditions on the material parameter. Under additional...
On Uniqueness of Boundary Values of Solutions of a Problem Arising in Plasma Physics.
On variational inequalities associated with the Navier-Stokes equation: Some bifurcation problems.
On Variational Problems with Obstacles and Integral Constraints for Vector-Valued Functions.
Ondes lentes et interaction contrôlée pour les équations strictement hyperboliques non linéaires
Ondes progressives pour l’équation de Gross-Pitaevskii
Cet exposé présente les résultats de l’article [3] au sujet des ondes progressives pour l’équation de Gross-Pitaevskii : la construction d’une branche d’ondes progressives non constantes d’énergie finie en dimensions deux et trois par un argument variationnel de minimisation sous contraintes, ainsi que la non-existence d’ondes progressives non constantes d’énergie petite en dimension trois.
Ondes soniques
Ondes spirales pour le problème de Riemann 2-D d'un fluide compressible
One iterative method concerning the solution of Dirichlet's problem
One-dimensional adhesion model for large scale structures.
One-dimensional model describing the non-linear viscoelastic response of materials
In this paper we consider a model of a one-dimensional body where strain depends on the history of stress. We show local existence for large data and global existence for small data of classical solutions and convergence of the displacement, strain and stress to zero for time going to infinity.
One-dimensional symmetry for solutions of quasilinear equations in
In this paper we consider two-dimensional quasilinear equations of the form and study the properties of the solutions u with bounded and non-vanishing gradient. Under a weak assumption involving the growth of the argument of (notice that is a well-defined real function since on ) we prove that is one-dimensional, i.e., for some unit vector . As a consequence of our result we obtain that any solution having one positive derivative is one-dimensional. This result provides a proof of...
Opérateurs intégraux de Fourier sans phases
Operational Methods in the Environment of a Computer Algebra System
This article presents the principal results of the doctoral thesis “Direct Operational Methods in the Environment of a Computer Algebra System” by Margarita Spiridonova (Institute of mathematics and Informatics, BAS), successfully defended before the Specialised Academic Council for Informatics and Mathematical Modelling on 23 March, 2009.The presented research is related to the operational calculus approach and its representative applications. Operational methods are considered, as well as their...
Operator equations, separation of variables and relativistic alterations.
Operator gauge symmetry in QED.
Optimal -properties of Green’s functions for non-divergence elliptic equations in two dimensions
A sharp integrability result for non-negative adjoint solutions to planar non-divergence elliptic equations is proved. A uniform estimate is also given for the Green's function.
Orbital stability for polytropic galaxies