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arxiv: 0809.0108 · v3 · pith:3NJJIMYVnew · submitted 2008-08-31 · 🧮 math.DS

Bodies of zero resistance and bodies invisible in one direction

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keywords bodybodiesinvisibleparticlesresistancezeroconsiderdirection
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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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