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Bodies of zero resistance and bodies invisible in one direction

Published 31 Aug 2008 in math.DS | (0809.0108v3)

Abstract: We consider a body in a parallel flow of non-interacting particles. The interaction of particles with the body is perfectly elastic. We introduce the notions of a body of zero resistance, a body that leaves no trace, and an invisible body, and prove that all such bodies do exist.

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