This issuePrevious ArticleConvergence to equilibrium of a multiscale model for suspensionsNext ArticleMeyers type estimates for approximate solutions of nonlinear
elliptic equations and their applications
On the existence of scattering solutions for the
It is well known that, in the presence of an attractive force having
a Coulomb singularity, scattering solutions of the nonrelativistic
Abraham--Lorentz--Dirac equation having nonrunaway character do not
exist, for the case of motions on the line. By numerical
computations on the full three dimensional case, we give indications
that indeed there exists a full tube of initial data for which
nonrunay solutions of scatterig type do not exist. We also give a
heuristic argument which allows to estimate the size of such a tube
of initial data. The numerical computations also show that in a thin
region beyond such a tube one has the nonuniqueness phenomenon, i.e.
the "mechanical'' data of position and velocity do not uniquely
determine the nonrunaway trajectory.