288 research outputs found
Spinning Q-balls in Abelian Gauge Theories with positive potentials: existence and non existence
We study the existence of cylindrically symmetric electro-magneto-static
solitary waves for a system of a nonlinear Klein-Gordon equation coupled with
Maxwell's equations in presence of a positive mass and of a nonnegative
nonlinear potential. Nonexistence results are provided as well.Comment: arXiv admin note: text overlap with arXiv:0903.3322 by other author
Dynamics of the Free Surface of a Conducting Liquid in a Near-Critical Electric Field
Near-critical behavior of the free surface of an ideally conducting liquid in
an external electric field is considered. Based on an analysis of three-wave
processes using the method of integral estimations, sufficient criteria for
hard instability of a planar surface are formulated. It is shown that the
higher-order nonlinearities do not saturate the instability, for which reason
the growth of disturbances has an explosive character.Comment: 19 page
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