Existence, uniqueness, and asymptotic stability for a thermoelastic plate
In this note we are concerned with the linear theory of a thermoelastic plate when a rate-type equation is assumed for the heat flux. We consider an initial boundary-value problem for this plate and show the existence, uniqueness, and asymptotic stability of the solution. Thermodynamic restriction...
Saved in:
| Date: | 2003 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2003
|
| Series: | Нелінійні коливання |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/176929 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Existence, uniqueness, and asymptotic stability for a thermoelastic plate / G. Amendola // Нелінійні коливання. — 2002. — Т. 5, № 4. — С. 147-165. — Бібліогр.: 14 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | In this note we are concerned with the linear theory of a thermoelastic plate when a rate-type equation
is assumed for the heat flux. We consider an initial boundary-value problem for this plate and show the
existence, uniqueness, and asymptotic stability of the solution. Thermodynamic restrictions on the assumed
constitutive equations are also derived. Finally, we give the expression of a pseudo free energy. |
|---|