Extended thermodynamics—a theory of symmetric hyperbolic field equations |
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Authors: | Ingo Müller |
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Institution: | 1. Technische Universit?t Berlin, Stra?e des 17. Juni 135, 10623, Berlin, Germany
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Abstract: | Extended thermodynamics is based on a set of equations of balance which are supplemented by local and instantaneous constitutive
equations so that the field equations are quasi-linear differential equations of first order. If the constitutive functions
are subject to the requirements of the entropy principle, one may write them in symmetric hyperbolic form by a suitable choice
of fields.
The kinetic theory of gases, or the moment theories based on the Boltzmann equation, provide an explicit example for extended
thermodynamics. The theory proves its usefulness and practicality in the successful treatment of light scattering in rarefied
gases.
It would seem that extended thermodynamics is worthy of the attention of mathematicians. It may offer them a non-trivial field
of study concerning hyperbolic equations, if ever they get tired of the Burgers equation.
Dedicated to Jürgen Sprekels on the occasion of his 60th birthday |
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Keywords: | thermodynamics symmetric hyperbolicity kinetic theory light scattering |
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