Equations of motion for continuum systems |
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Authors: | T. Aaberge |
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Affiliation: | (1) Department of Theoretical Physics, University of Geneva, 1211 Geneva 4, Switzerland;(2) Present address: N-5801 Sogndal, Norway |
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Abstract: | We construct equations of motion for anN-component continuum. The basic assumption is that the dynamical vector field is the sum of two terms: a conservative term, being a Hamiltonian vector field associated with the energy function of the system; and a dissipative term, being a gradient vector field associated with a family of functions. The resulting equations satisfy the usual conservation laws for continuum systems, and, moreover, reduce to the standard fluid equations when the continuum is a fluid. |
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