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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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A PRIORI ESTIMATES

A PRIORI ESTIMATES

Chapter:
(p.40) 3 A PRIORI ESTIMATES
Source:
Dynamics of Viscous Compressible Fluids
Author(s):

Eduard Feireisl

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198528388.003.0003

A priori estimates play a decisive role in the analysis of any nonlinear problem. They determine the class of functions, where the solutions are looked for. A priori estimates resulting from the basic physical principles — conservation (or balance) of mass, momentum, and energy — are discussed. The role of the presence of viscosity and heat conductivity is crucial here.

Keywords:   energy inequality, total mass conservation, viscous dissipation, entropy

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