Phase-space Lagrangian dynamics of incompressible thermofluids

Marco Tessarotto, Claudio Cremaschini and Massimo Tessarotto

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 18, 3737-3744

Abstract: Phase-space Lagrangian dynamics in ideal fluids (i.e., continua) is usually related to the so-called ideal tracer particles. The latter, which can in principle be permitted to have arbitrary initial velocities, are understood as particles of infinitesimal size which do not produce significant perturbations of the fluid and do not interact among themselves. An unsolved theoretical problem is the correct definition of their dynamics in ideal fluids. The issue is relevant in order to exhibit the connection between fluid dynamics and the classical dynamical system, underlying a prescribed fluid system, which uniquely generates its time-evolution.

Keywords: Incompressible Navier–Stokes–Fourier equations; Kinetic theory; Lagrangian dynamics (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:18:p:3737-3744

DOI: 10.1016/j.physa.2009.06.008

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