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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Rational Extended Thermodynamics beyond the Monatomic Gas (Paperback, Softcover reprint of the original 1st ed. 2015)
Loot Price: R3,295
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Rational Extended Thermodynamics beyond the Monatomic Gas (Paperback, Softcover reprint of the original 1st ed. 2015)
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This book is dedicated to the recent developments in RET with the
aim to explore polyatomic gas, dense gas and mixture of gases in
non-equilibrium. In particular we present the theory of dense gases
with 14 fields, which reduces to the Navier-Stokes Fourier
classical theory in the parabolic limit. Molecular RET with an
arbitrary number of field-variables for polyatomic gases is also
discussed and the theory is proved to be perfectly compatible with
the kinetic theory in which the distribution function depends on an
extra variable that takes into account a molecule's internal
degrees of freedom. Recent results on mixtures of gases with
multi-temperature are presented together with a natural definition
of the average temperature. The qualitative analysis and in
particular, the existence of the global smooth solution and the
convergence to equilibrium are also studied by taking into account
the fact that the differential systems are symmetric hyperbolic.
Applications to shock and sound waves are analyzed together with
light scattering and heat conduction and the results are compared
with experimental data. Rational extended thermodynamics (RET) is a
thermodynamic theory that is applicable to non-equilibrium
phenomena. It is described by differential hyperbolic systems of
balance laws with local constitutive equations. As RET has been
strictly related to the kinetic theory through the closure method
of moment hierarchy associated to the Boltzmann equation, the
applicability range of the theory has been restricted within
rarefied monatomic gases. The book represents a valuable resource
for applied mathematicians, physicists and engineers, offering
powerful models for potential applications like satellites
reentering the atmosphere, semiconductors and nano-scale phenomena.
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