Maximal attractor for the system of one-dimensional polytropic viscous ideal gas

Authors:
Songmu Zheng and Yuming Qin

Journal:
Quart. Appl. Math. **59** (2001), 579-599

MSC:
Primary 35B41; Secondary 35B30, 35B40, 35L65, 37L30, 76D03

DOI:
https://doi.org/10.1090/qam/1848536

MathSciNet review:
MR1848536

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Abstract: In this paper, the dynamics for the system of polytropic viscous ideal gas is investigated. One of the important features of this problem is that the metric spaces and that we work with are two incomplete metric spaces, as can be seen from the constraints and with and begin absolute temperature and specific volume, respectively. For any constants satisfying certain conditions, two sequences of closed subspaces are found, and the existence of two maximal (universal) attractors in and is proved.

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DOI:
https://doi.org/10.1090/qam/1848536

Article copyright:
© Copyright 2001
American Mathematical Society