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On the well-posed two-body problem in electrodynamics and special relativity

โœ Scribed by J.A Murdock

Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
495 KB
Volume
84
Category
Article
ISSN
0003-4916

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โœฆ Synopsis

The problem of two interacting charged particles in three dimensions, including effects of radiation reaction, is formulated abstractly and an existence/uniqueness theorem is proved for a suitable "initial segment problem." The delay-differential equations are treated in the cases of pure retarded and of mixed advanced and retarded potentials.

๐Ÿ“œ SIMILAR VOLUMES

On the well-posed two-body problem in el
On the well-posed two-body problem in electrodynamics and special relativity II
โœ J.A Murdock ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 428 KB

The initial segment problem for two interacting charged particles is studied and errors are corrected in the author's previous paper on this problem. An existenceiuniqueness theorem holds for the forward extension under retarded interaction; a uniqueness theorem holds for the backward extension and

The stationary axisymmetric two-body pro
The stationary axisymmetric two-body problem in general relativity
โœ Gilbert Weinstein ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 794 KB

## Abstract We continue our study, begun in [7], into the stationary axisymmetric solutions of the Einstein vacuum equations containing two (or more) black holes. This problem reduces to an elliptic system of nonlinear partial differential equations with prescribed blowโ€up as boundary conditions. W