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- Title
Existence and general decay for the full von Kármán beam with a thermo-viscoelastic damping, frictional dampings and a delay term.
- Authors
WENJUN LIU; KEWANG CHEN; JUN YU
- Abstract
In this paper, we study the global existence and general decay rate for a one-dimensional full von Kármán beam with a thermo-viscoelastic damping, frictional dampings and a delay term in the internal feedback. First, we use the Faedo-Galerkin approximations together with energy estimates to obtain the existence and uniqueness of the global solutions. Then, by introducing suitable energy and Lyapunov functionals, under a hypothesis between the weight of the delay term and the weight of the friction damping term in the internal feedback, we establish a general decay rate result for the energy, which allows a wider class of relaxation functions, and thus generalize some previous results existing in the literature.
- Subjects
VISCOELASTIC materials; DAMPING (Mechanics); THERMOMECHANICAL properties of metals; GIRDERS; EXISTENCE theorems
- Publication
IMA Journal of Mathematical Control & Information, 2017, Vol 34, Issue 2, p521
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnv056