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Titan After Cassini-Huygens provides comprehensive coverage of our
knowledge on Titan, including results and insights from the joint
NASA/European Space Agency/Italian Space Agency mission
Cassini-Huygens and conclusions drawn by experts. Our knowledge of
Titan has increased substantially due to observations from the
Cassini-Huygens mission, which ended in 2017. Since then,
observations from Earth, as well as laboratory and theoretical
studies, have continued to add to our knowledge. These conclusions,
combined with the latest ground-based and theoretical research,
provide the most recent understanding of the science of Titan,
covering origin, evolution, its magnetic and plasma environment,
surface, interior structure, geology, atmosphere, and more. In the
first book of the new COSPAR book series, readers will find the
most in-depth, up-to-date coverage of our knowledge of Titan. This
will be an integral reference for scientists, researchers and
academics working on Titan or ocean worlds.
Ordinary thermodynamics provides reliable results when the
thermodynamic fields are smooth, in the sense that there are no
steep gradients and no rapid changes. In fluids and gases this is
the domain of the equations of Navier-Stokes and Fourier. Extended
thermodynamics becomes relevant for rapidly varying and strongly
inhomogeneous processes. Thus the propagation of high frequency
waves, and the shape of shock waves, and the regression of
small-scale fluctuation are governed by extended thermodynamics.
The field equations of ordinary thermodynamics are parabolic while
extended thermodynamics is governed by hyperbolic systems. The main
ingredients of extended thermodynamics are * field equations of
balance type, * constitutive quantities depending on the present
local state and * entropy as a concave function of the state
variables. This set of assumptions leads to first order
quasi-linear symmetric hyperbolic systems of field equations; it
guarantees the well-posedness of initial value problems and finite
speeds of propaga tion. Several tenets of irreversible
thermodynamics had to be changed in subtle ways to make extended
thermodynamics work. Thus, the entropy is allowed to depend on
nonequilibrium vari ables, the entropy flux is a general
constitutive quantity, and the equations for stress and heat flux
contain inertial terms. New insight is therefore provided into the
principle of material frame indifference. With these modifications
an elegant formal structure can be set up in which, just as in
classical thermostatics, all restrictive conditions--derived from
the entropy principle-take the form of integrability conditions.
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