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NONLOCAL MODEL OF SUPERFLUID TURBULENCE

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In this paper, we build up a nonlocal model of superfluid turbulence. The theory chooses as fundamental fields the density, the velocity, the energy density, the heat flux, and the averaged vortex line length per unit volume. The constitutive quantities are assumed to depend on the fundamental fields and on their first derivative, allowing to describe mechanical and thermal dissipations and vortex diffusion. The restrictions on the constitutive relations are deduced from the entropy principle, using the Liu method of Lagrange multipliers.

Author(s):

Lidia Saluto    
Università degli Studi di Palermo
Italy

David Jou    
Universitat Autònoma de Barcelona
Spain

Maria Stella Mongiovì    
Università degli Studi di Palermo
Italy