Exponential stability of a Von Karman model with thermal effects
A one-dimensional Von Karman model with thermal effects is studied. We derive the equations that constitute the mathematical model, and prove existence and uniqueness of a global solution. Then using Lyapunov functions, we show that solutions decay exponentially.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
1998-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1998/07/abstr.html |
| _version_ | 1811314472828010496 |
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| author | Assia Benabdallah Djamel Teniou |
| author_facet | Assia Benabdallah Djamel Teniou |
| author_sort | Assia Benabdallah |
| collection | DOAJ |
| description | A one-dimensional Von Karman model with thermal effects is studied. We derive the equations that constitute the mathematical model, and prove existence and uniqueness of a global solution. Then using Lyapunov functions, we show that solutions decay exponentially. |
| first_indexed | 2024-04-13T11:12:18Z |
| format | Article |
| id | doaj.art-77f897d75b7e4bd1abda93676b31f651 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T11:12:18Z |
| publishDate | 1998-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-77f897d75b7e4bd1abda93676b31f6512022-12-22T02:49:04ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911998-02-01199807113Exponential stability of a Von Karman model with thermal effectsAssia BenabdallahDjamel TeniouA one-dimensional Von Karman model with thermal effects is studied. We derive the equations that constitute the mathematical model, and prove existence and uniqueness of a global solution. Then using Lyapunov functions, we show that solutions decay exponentially.http://ejde.math.txstate.edu/Volumes/1998/07/abstr.htmlThermoelastic systemsVon Karmanasymptotic behaviourexponential stabilitysemigroupLyapunov function. |
| spellingShingle | Assia Benabdallah Djamel Teniou Exponential stability of a Von Karman model with thermal effects Electronic Journal of Differential Equations Thermoelastic systems Von Karman asymptotic behaviour exponential stability semigroup Lyapunov function. |
| title | Exponential stability of a Von Karman model with thermal effects |
| title_full | Exponential stability of a Von Karman model with thermal effects |
| title_fullStr | Exponential stability of a Von Karman model with thermal effects |
| title_full_unstemmed | Exponential stability of a Von Karman model with thermal effects |
| title_short | Exponential stability of a Von Karman model with thermal effects |
| title_sort | exponential stability of a von karman model with thermal effects |
| topic | Thermoelastic systems Von Karman asymptotic behaviour exponential stability semigroup Lyapunov function. |
| url | http://ejde.math.txstate.edu/Volumes/1998/07/abstr.html |
| work_keys_str_mv | AT assiabenabdallah exponentialstabilityofavonkarmanmodelwiththermaleffects AT djamelteniou exponentialstabilityofavonkarmanmodelwiththermaleffects |