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Dynamics of Viscous Compressible Fluids$
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Eduard Feireisl

Print publication date: 2003

Print ISBN-13: 9780198528388

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198528388.001.0001

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VARIATIONAL SOLUTIONS

VARIATIONAL SOLUTIONS

Chapter:
(p.54) 4 VARIATIONAL SOLUTIONS
Source:
Dynamics of Viscous Compressible Fluids
Author(s):

Eduard Feireisl

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198528388.003.0004

The concept of a variational solution to the full Navier-Stokes-Fourier system is introduced in this chapter. Each equation of the complete system, that means, the equation of continuity, the momentum equation, and the energy equation, is treated separately. The basic facts of the theory of renormalized solutions of the continuity equation are reviewed. Moreover, the renormalized solutions of the thermal energy are introduced as a suitable tool to deal with possible concentrations of temperature.

Keywords:   Navier-Stokes-Fourier system, defect measure, weak solution, renormalized solution

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