Symmetry of the barochronous motions of a gas.
Symmetry of the Ginzburg-Landau minimizer in a disc
Symmetry operators for the Fokker-Planck-Kolmogorov equation with nonlocal quadratic nonlinearity.
Symmetry operators of a Hartree-type equation with quadratic potential.
Symmetry problems 2
Some symmetry problems are formulated and solved. New simple proofs are given for some symmetry problems studied earlier. One of the results is as follows: if a single-layer potential of a surface, homeomorphic to a sphere, with a constant charge density, is equal to c/|x| for all sufficiently large |x|, where c > 0 is a constant, then the surface is a sphere.
Symmetry properties for the extremals of the Sobolev trace embedding
Symmetry properties of a generalized Korteweg-de Vries equation and some explicit solutions.
Symmetry results for viscosity solutions of fully nonlinear uniformly elliptic equations
We study uniformly elliptic fully nonlinear equations , and prove results of Gidas–Ni–Nirenberg type for positive viscosity solutions of such equations. We show that symmetries of the equation and the domain are reflected by the solution, both in bounded and unbounded domains.
Symmetry theorems and uniform rectifiability.
Symmetry theorems via the continuous Steiner symmetrization.
Symplectic classification of quadratic forms, and general Mehler formulas.
Symplectic integration of Hamiltonian wave equations.
Symplectic torus actions with coisotropic principal orbits
In this paper we completely classify symplectic actions of a torus on a compact connected symplectic manifold when some, hence every, principal orbit is a coisotropic submanifold of . That is, we construct an explicit model, defined in terms of certain invariants, of the manifold, the torus action and the symplectic form. The invariants are invariants of the topology of the manifold, of the torus action, or of the symplectic form.In order to deal with symplectic actions which are not Hamiltonian,...
Système à corps dans un champ magnétique
Système de processus auto-stabilisants [Book]
Système d'Euler incompressible et régularité microlocale analytique
Système d'Euler incompressible et régularité microlocale analytique
Dans cet article on étudie la régularité analytique (ou Gevrey) des courbes intégrales de champs de vecteurs solutions non nécessairement lipschitziennes du système d’Euler incompressible. On en déduit que le front d’onde analytique (ou Gevrey) de ces solutions est localisé dans la variété caractéristique de l’opérateur linéarisé.
Système d'évolution d'un fluide relativiste conducteur de chaleur
Système d'évolution d'un fluide relativiste conducteur de chaleur d'après le schéma d'Eckart
Système d'inégalités aux différences finies du type elliptique