In this paper we consider the initial-value problem for the nonlinear Timoshenko system with a memory term. Due to the regularity-loss property and weak dissipation, we have to assume stronger nonlinearity than usual. By virtue of the semi-group arguments, we obtain the global existence and optimal decay of solutions to the nonlinear problem under smallness and enough regularity assumptions on the initial data, where we employ a time-weighted L2 energy method combined with the optimal L2 decay of lower-order derivatives of solutions.
|Number of pages||17|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 2013|
All Science Journal Classification (ASJC) codes
- Applied Mathematics