A model of gauge theory with invariant variables.
Discrete compactness for a discontinuous Galerkin approximation of Maxwell's system
In this paper we prove the discrete compactness property for a discontinuous Galerkin approximation of Maxwell's system on quite general tetrahedral meshes. As a consequence, a discrete Friedrichs inequality is obtained and the convergence of the discrete eigenvalues to the continuous ones is deduced using the theory of collectively compact operators. Some numerical experiments confirm the theoretical predictions.
Einstein-Maxwell equation on four-dimensional homogeneous spaces.
Electromagnetic dynamical systems.
Geometric dynamics of calcium oscillations ODEs systems.
Geometrical interpretation of solutions of certain PDEs.
Gravitational scattering of electromagnetic field by Schwarzschild black-hole
Huygens' principle on Petrov type N space-times
Note on Simultaneity and the Eisenstein-Maxwell Field.
Null geodesic congruences, asymptotically-flat spacetimes and their physical interpretation.
Opérateur de diffraction pour le système de Maxwell en métrique de Schwarzschild
Simulation of the radiation reaction orbits of a classical relativistic charged particle with generalized off-shell Lorentz force.
Solutions globales des équations d’Einstein-Maxwell
En adaptant une méthode de Lindblad et Rodnianski, on prouve l’existence de solutions globales pour les équations d’Einstein-Maxwell en dimension d’espace . Les données initiales considérées sont lisses, asymptotiquement euclidiennes et suffisamment petites. On utilise la jauge harmonique et la jauge de Lorenz.
Изомонодромные деформации и автомодельные решения уравнений Эйнштейна-Максвелла