书目名称 | Rational extended thermodynamics |
编辑 | Ingo Müller,Tomasso Ruggeri |
视频video | |
丛书名称 | Springer Tracts in Natural Philosophy |
图书封面 |  |
描述 | 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 dep |
出版日期 | Book 1998Latest edition |
关键词 | Boltzmann equation; acoustics; dynamics; entropy; evolution; experiment; heat; kinetic theory; mathematics; m |
版次 | 2 |
doi | https://doi.org/10.1007/978-1-4612-2210-1 |
isbn_softcover | 978-1-4612-7460-5 |
isbn_ebook | 978-1-4612-2210-1Series ISSN 0081-3877 |
issn_series | 0081-3877 |
copyright | Springer-Verlag New York, Inc. 1998 |