Data di Pubblicazione:
2006
Citazione:
On the existence of scattering solutions for the Abraham-Lorentz-Dirac equation / A. Carati. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.. - ISSN 1531-3492. - 6:3(2006), pp. 471-480. [10.3934/dcdsb.2006.6.471]
Abstract:
It is well known
that, in the presence of an attractive force having a Coulomb
singularity, scattering solutions of the nonrelativistic
\ALD 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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Scattering solutions, Abraham-Lorentz-Dirac equation
Elenco autori:
A. Carati
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