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Global existence of small amplitude solution to nonlinear system of wave and Klein-Gordon equations in four space-time dimensions
Global existence nonlinear system wave and Klein-Gordon equations four space-time dimensions
2011/9/14
Abstract: In this article one will develop a so-called hyperboloidal foliation method, which is an energy method based on a foliation of space-time into hyperboloidal hypersurfaces. This method permit...
Instability of the planetary orbits for space-time dimensions higher than four
Instability planetary orbits space-time dimensions
2010/12/20
It is shown that in a Minkowski space of total space-time dimension D = d + 1, the orbits of the planetary motion are stable only if the total dimension of space-time is D 4. The proof is performed ...