Name
Title | ||
|---|---|---|
On dynamic behavior of a hyperbolic system derived from a thermoelastic equation with memory type |
Abstract | ||
|---|---|---|
In this paper, we study the Riesz basis property of the generalized eigenfunctions of a one-dimensional hyperbolic system in the energy state space. This characterizes the dynamic behavior of the system, particularly the stability, in terms of its eigenfrequencies. This system is derived from a thermoelastic equation with memory type. The asymptotic expansions for eigenvalues and eigenfunctions are developed. It is shown that there is a sequence of generalized eigenfunctions, which forms a Riesz basis for the Hilbert state space. This deduces the spectrum-determined growth condition for the C0-semigroup associated with the system, and as a consequence, the exponential stability of the system is concluded. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.jfranklin.2005.10.003 | Journal of the Franklin Institute |
Keywords | Field | DocType |
35J10,93C20,93C25,47E05 | Hilbert space,Eigenfunction,Mathematical analysis,Asymptotic expansion,Exponential stability,Partial differential equation,Thermoelastic damping,Eigenvalues and eigenvectors,Mathematics,Hyperbolic partial differential equation | Journal |
Volume | Issue | ISSN |
344 | 2 | 0016-0032 |
Citations | PageRank | References |
2 | 0.53 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jun-Min Wang | 1 | 219 | 29.95 |
| Bao-Zhu Guo | 2 | 1178 | 117.67 |