Generalized Fluid Flows, Their Approximation and Applications.
Generating varieties for the triple loop space of classical Lie groups
For G = SU(n), Sp(n) or Spin(n), let be the centralizer of a certain SU(2) in G. We have a natural map . For a generator α of , we describe J⁎(α). In particular, it is proved that is injective.
Generic properties of the rotation number of one-parameter diffeomorphisms of the circle
Generic properties of von Kármán equations
Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator.
Geodesic equations on diffeomorphism groups.
Geodesic reduction via frame bundle geometry.
Geodesics in the compactly supported Hamiltonian diffeomorphism group.
Geometry of compactifications of locally symmetric spaces
For a locally symmetric space , we define a compactification which we call the “geodesic compactification”. It is constructed by adding limit points in to certain geodesics in . The geodesic compactification arises in other contexts. Two general constructions of Gromov for an ideal boundary of a Riemannian manifold give for locally symmetric spaces. Moreover, has a natural group theoretic construction using the Tits building. The geodesic compactification plays two fundamental roles in...
Geometry on the group of Hamiltonian diffeomorphisms.
Global strong solutions in Sobolev or Lebesgue spaces to the incompressible Navier-Stokes equations in
Gradient flow for the one-dimensional Mumford-Shah functional
Gradient flows of non convex functionals in Hilbert spaces and applications
This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space
Group actions, gauge transformations, and the calculus of variations.
Groupe des difféomorphismes et espace de Teichmüller d'une surface
Groupes d’automorphismes de et équations différentielles
Groups of diffeomorphisms and Lie theory.