Résurgence d'un thème de Huygens-Fresnel
Ring source potentials in two superposed fluids separated by an inertial surface.
Robust a priori error analysis for the approximation of degree-one Ginzburg-Landau vortices
This article discusses the numerical approximation of time dependent Ginzburg-Landau equations. Optimal error estimates which are robust with respect to a large Ginzburg-Landau parameter are established for a semi-discrete in time and a fully discrete approximation scheme. The proofs rely on an asymptotic expansion of the exact solution and a stability result for degree-one Ginzburg-Landau vortices. The error bounds prove that degree-one vortices can be approximated robustly while unstable higher...
Robust a priori error analysis for the approximation of degree-one Ginzburg-Landau vortices
This article discusses the numerical approximation of time dependent Ginzburg-Landau equations. Optimal error estimates which are robust with respect to a large Ginzburg-Landau parameter are established for a semi-discrete in time and a fully discrete approximation scheme. The proofs rely on an asymptotic expansion of the exact solution and a stability result for degree-one Ginzburg-Landau vortices. The error bounds prove that degree-one vortices can be approximated robustly while unstable higher...
Scattering, scattering inverse et équations d'évolutions non linéaires
Scattering, transformations spectrales et équations d'évolution non linéaire II
Scattering, transformations spectrales et équations d'évolution non linéaires
Soliton equations and hyperbolic maps
Solution of elliptic problem with not fully specified Dirichlet boundary value conditions and its application in hydrodynamics
The author solves a mixed boundary value problem for linear partial differential equations of the elliptic type in a multiply connected domain. Dirichlet conditions are given on the components of the boundary of the domain up to some additive constants which are not known a priori. These constants are to be determined, together with the solution of the boundary value problem, to fulfil some additional conditions. The results are immediately applicable in hydrodynamics to the solution of problems...
Solutions fortes et majorations asymptotiques pour le modèle de Darcy Forchheimer en convection naturelle
Solutions globales avec nappe de tourbillon pour les équations d'Euler dans le plan
Solutions globales des systèmes de Dirac-Klein-Gordon
Solutions globales du problème de Cauchy pour l'équation de Boltzmann
Solutions presque périodiques et a N-solitons de l'équation hydrodynamique non linéaire de Kaup
Solutions semi-globales asymptotiquement minkowskiennes pour les équations d'Einstein
Solvability of a first order system in three-dimensional non-smooth domains
A system of first order partial differential equations is studied which is defined by the divergence and rotation operators in a bounded nonsmooth domain . On the boundary , the vanishing normal component is prescribed. A variational formulation is given and its solvability is investigated.
Solvability of the super KP equation and a generalization of the Birkhoff decomposition.
Some exact Solutions of the Korteweg-de Vries Equation with Variable Coefficients
Some multiple-part Wiener-Hopf problems in mathematical physics
Some problems of vector analysis in solenoidal spaces