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The fields and self-force of a constantly accelerating spherical shell. (English) Zbl 1372.78011

The author considers the problem of self-force acting on a moving spherical shell of electrically charged medium with motion taken in one direction and with time-dependent speed. In a suitably chosen comoving frame of reference when the contribution of magnetic effects vanishes, the equation for the electric potential is treated in terms of series expansions, and exactness of the resulting solution is discussed.

MSC:

78A35 Motion of charged particles
83A05 Special relativity
31A35 Connections of harmonic functions with differential equations in two dimensions
35J47 Second-order elliptic systems
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