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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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