抄録
The global existence of smooth solutions to the equations of nonlinear hyperbolic system of 2nd order with third order viscosity is shown for small and smooth initial data in a bounded domain of n-dimensional Euclidean space with smooth boundary. Dirichlet boundary condition is studied and the asymptotic behaviour of exponential decay type of solutions as t tending to ∞ is described. Time periodic solutions are also studied. As an application of our main theorem, nonlinear viscoelasticity, strongly damped nonlinear wave equation and acoustic wave equation in viscous conducting fluid are treated.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 189-208 |
| ページ数 | 20 |
| ジャーナル | Communications in Mathematical Physics |
| 巻 | 148 |
| 号 | 1 |
| DOI | |
| 出版ステータス | Published - 1992 8月 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 統計物理学および非線形物理学
- 数理物理学