Asymptotics of the energy functional for a fourth-order mixed boundary value problem in a domain with a cut.
Asymptotics of time harmonic solutions to a thin ferroelectric model.
Asymptotique de Born-Oppenheimer pour la prédissociation moléculaire (cas de potentiels réguliers)
Asymptotique de la phase de diffusion à haute énergie pour l'opérateur de Dirac
Asymptotique de la phase de diffusion à haute énergie pour l'opérateur de Dirac
Asymptotiques de Lifshitz
Cet exposé a pour but de présenter des résultats récents de l’auteur concernant les asymptotiques de Lifshitz pour des perturbations aléatoires d’opérateurs de Schrödinger périodiques. Certains de ces résultats ont été obtenus en collaboration avec T. Wolff.
Asypmtotic Behaviour in Lr for Weak Solutions of the Navier-Stokes Equations in Exterior Domains.
Attractor for a Navier-Stokes flow in an unbounded domain
Attractor for a viscous coupled Camassa-Holm equation.
Attractors of a Schrödinger-Poisson system
Attractors of Strongly Dissipative Systems
A class of infinite-dimensional dissipative dynamical systems is defined for which there exists a unique equilibrium point, and the rate of convergence to this point of the trajectories of a dynamical system from the above class is exponential. All the trajectories of the system converge to this point as t → +∞, no matter what the initial conditions are. This class consists of strongly dissipative systems. An example of such systems is provided by passive systems in network theory (see, e.g., MR0601947...
Auto-Bäcklund transformation and exact analytical solutions for the Kupershmidt equation.
Autour du problème des vortex patches
Auxiliary linear problem, difference Fay identities and dispersionless limit of Pfaff-Toda hierarchy.
Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component
We study axisymmetric solutions to the Navier-Stokes equations in the whole three-dimensional space. We find conditions on the radial and angular components of the velocity field which are sufficient for proving the regularity of weak solutions.
Backlund Transformations for a Class of Systems of Differential Equation.
Bäcklund transformations for several cases of a type of generalized KdV equation.
Bäcklund-Darboux transformation for non-isospectral canonical system and Riemann-Hilbert problem.
Backpropagation generalized delta rule for the selective attention Sigma-if artificial neural network
In this paper the Sigma-if artificial neural network model is considered, which is a generalization of an MLP network with sigmoidal neurons. It was found to be a potentially universal tool for automatic creation of distributed classification and selective attention systems. To overcome the high nonlinearity of the aggregation function of Sigma-if neurons, the training process of the Sigma-if network combines an error backpropagation algorithm with the self-consistency paradigm widely used in physics....
Back-scattering and nonlinear Radon transformation