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Navier-Stokes-Fourier Equations - A Rational Asymptotic Modelling Point of View (Hardcover, 2012)
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Navier-Stokes-Fourier Equations - A Rational Asymptotic Modelling Point of View (Hardcover, 2012)
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This research monograph deals with a modeling theory of the system
of Navier-Stokes-Fourier equations for a Newtonian fluid governing
a compressible viscous and heat conducting flows. The main
objective is threefold. First , to 'deconstruct' this
Navier-Stokes-Fourier system in order to unify the puzzle of the
various partial simplified approximate models used in Newtonian
Classical Fluid Dynamics and this, first facet, have obviously a
challenging approach and a very important pedagogic impact on the
university education. The second facet of the main objective is to
outline a rational consistent asymptotic/mathematical theory of the
of fluid flows modeling on the basis of a typical
Navier-Stokes-Fourier initial and boundary value problem. The third
facet is devoted to an illustration of our rational
asymptotic/mathematical modeling theory for various technological
and geophysical stiff problems from: aerodynamics, thermal and
thermocapillary convections and also meteofluid dynamics.
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