Dynamics of a thermoelastic von Kármán plate in a subsonic gas flow
✍ Scribed by Iryna Ryzhkova
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 206 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0044-2275
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📜 SIMILAR VOLUMES
## Communicated by B. Brosowski A global existence and uniqueness theorem is presented for the problem of oscillations of von Karman plate in linearized potential subsonic #ow of gas. The energy conservation law and solutions uniform boundedness in time are established. We also prove the existence
we prove that the energy of solutions of the modified von K&m&n system of a thermoelastic plate decays with the rate as t + +oo where C and w are positive constants which are independent of the solution. This improves an earlier result in which we claimed the decay rate to be of the order of exp(-wt
In this paper, we study the stability of solutions to a von Kármán system for Kirchhoff plate equations with a memory condition working at the boundary. We show that such dissipation is strong enough to produce exponential decay of the solution provided the relaxation functions also decay exponentia