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- W1965924434 abstract "An existence theorem is proven for the solution of the differential equations of motion of a finite number of particles moving in a bounded piecewise regular region and mutually interacting via C1 forces. it is shown that the elastic reflection laws uniquely determine a Lebesque measure solution of the differential equations of motion (with elastic boundary conditions). The Lebesgue measure is invariant so that an extension of the Liouville theorem to non-Hamiltonian flows is obtained. A natural representation of the time evolution is given as a flow upward from a base under a ’’ceiling’’ function." @default.
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- W1965924434 date "1976-05-01" @default.
- W1965924434 modified "2023-09-30" @default.
- W1965924434 title "On the dynamics of particles in a bounded region: A measure theoretical approach" @default.
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- W1965924434 doi "https://doi.org/10.1063/1.522957" @default.
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