On the operator (u sub tt-epsilon u sub xx) sub t-(u sub tt-u sub xx) sub xx related to thermomechanics of fluids
Abstract
A fourth-order operator, related to thermomechanics of fluids, is analyzed by studying its characteristic polynomial. This analysis is then used to solve a mixed operator-related problem. The solution is shown to have a dissipative behavior in accordance with the physical meaning of the problem.
- Publication:
-
Meccanica
- Pub Date:
- March 1988
- Bibcode:
- 1988Mecc...23...29I
- Keywords:
-
- Computational Fluid Dynamics;
- Energy Dissipation;
- Operators (Mathematics);
- Thermodynamics;
- Constitutive Equations;
- Hyperbolic Differential Equations;
- Ideal Fluids;
- Parabolic Differential Equations;
- Fluid Mechanics and Heat Transfer