Bibliographic Details
| Title: |
Analyticity of thermo-elastic semigroups with free boundary conditions |
| Authors: |
Lasiecka, Irena, Triggiani, Roberto |
| Publisher Information: |
Scuola Normale Superiore, Pisa |
| Subject Terms: |
free coupled boundary conditions, thermo-elastic plate system, Thermal effects in solid mechanics, One-parameter semigroups and linear evolution equations, semi-continuous contraction semigroup, Free boundary problems for PDEs, energy space, Other PDE from mechanics, uniform stability, Long-time behavior of solutions for dynamical problems in solid mechanics, Plates, analyticity, Regularity of solutions of dynamical problems in solid mechanics |
| Description: |
The authors consider a thermo-elastic plate system where the elastic equation does not account for rotational forces. Of all canonical boundary conditions, the authors focus on the most challenging case unsolved in the literature: that of the free coupled boundary conditions. As in other simpler cases, the authors show that the corresponding semi-continuous contraction semigroup (on a natural energy space) is analytic, and, hence, uniformly stable. The proof employs PDE methods and estimates. |
| Document Type: |
Article |
| File Description: |
application/xml |
| Access URL: |
https://zbmath.org/1381073 |
| Accession Number: |
edsair.c2b0b933574d..e927b9ca863ea8ac7d9d3559d29b32d5 |
| Database: |
OpenAIRE |