Watson, S.J. and Lewicka, M. (2003) Temporal asymptotics for the p’th power Newtonian fluid in one space dimension. Zeitschrift für Angewandte Mathematik und Physik, 54(4), pp. 633-651. (doi: 10.1007/s00033-003-1149-1)
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Abstract
The balance laws of mass, momentum and energy are considered for a prsquoth power Newtonian fluid undergoing one dimensional longitudinal motions. For initial-boundary value problems involving fixed endpoints held at a prescribed temperature or insulated, we prove exponential convergence of solutions to equilibria for generic initial data. The estimates for different boundary conditions are presented in a unified manner by utilising the thermodynamic concept of availability.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Watson, Dr Stephen |
| Authors: | Watson, S.J., and Lewicka, M. |
| Subjects: | Q Science > QC Physics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Zeitschrift für Angewandte Mathematik und Physik |
| Journal Abbr.: | ZAMP |
| ISSN: | 0044-2275 |
| ISSN (Online): | 1420-9039 |
| Published Online: | 19 February 2004 |
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