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Turbulence and the Navier-Stokes equations

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 نشر من قبل R. M. Kiehn
 تاريخ النشر 2007
  مجال البحث فيزياء
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 تأليف R. M. Kiehn




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The concept of continuous topological evolution, based upon Cartans methods of exterior differential systems, is used to develop a topological theory of non-equilibrium thermodynamics, within which there exist processes that exhibit continuous topological change and thermodynamic irreversibility. The technique furnishes a universal, topological foundation for the partial differential equations of hydrodynamics and electrodynamics; the technique does not depend upon a metric, connection or a variational principle. Certain topological classes of solutions to the Navier-Stokes equations are shown to be equivalent to thermodynamically irreversible processes.

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