V. L. Golo, D. O. Sinitsyn
Published 2005-12-10Version 1
We consider the motion of a particle on a surface which is a small perturbation of the standard sphere. One may qualitatively describe the motion by means of a precessing great circle of the sphere. The observation is employed to derive a subsidiary Hamiltonian system that has the form of equations for the top with a 4-th order Hamiltonian, and provides the detailed asymptotic description of the particle's motion in terms of graphs on the standard sphere.
Asymptotic formula for the solution of the Stokes problem with a small perturbation of the domain in two and three dimensions
Small perturbation of a disordered harmonic chain by a noise and an anharmonic potential
Asymptotic of eigenvalues and eigenfunctions of Stokes operator due to a small perturbation of the boundary
