| Автор | Basil Nicolaenko |
| Автор | Weijie Qian |
| Дата выпуска | 1998-07-01 |
| dc.description | In this paper, we investigate the dynamical behaviour of the following one-dimensional dispersive viscoelasticity equation: The nonlinear function is smooth, non-convex, unbounded and satisfies some general conditions of growth. By introducing equivalent norms, based on the Hamiltonian structure of the limit dispersive problem with , we can prove the existence of global absorbing balls, and a global attractor. Depending on the parameters , we make different transformations depending on whether is positive or negative; the latter case is the most interesting one as the dissipation is not strong enough to dominate dispersion. The semigroup S(t) generated by satisfies a spectral barrier property, and the existence of inertial manifolds is proved in both cases. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Inertial manifolds for nonlinear viscoelasticity equations |
| Тип | paper |
| DOI | 10.1088/0951-7715/11/4/018 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 11 |
| Первая страница | 1075 |
| Последняя страница | 1093 |
| Аффилиация | Basil Nicolaenko; Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804, USA |
| Аффилиация | Weijie Qian; Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804, USA |
| Выпуск | 4 |
