Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616042 | Journal of Mathematical Analysis and Applications | 2014 | 21 Pages |
Abstract
In this paper, we investigate the initial value problem for the nonlinear pseudo-parabolic equation. Global existence and optimal decay estimate of solution are established, provided that the initial value is suitably small. Moreover, when n⩾2 and the nonlinear term f(u) disappears, we prove that the global solutions can be approximated by the linear solution as time tends to infinity. When n=1 and the nonlinear term f(u) disappears, we show that as time tends to infinity, the global solution approaches the nonlinear diffusion wave described by the self-similar solution of the viscous Burgers equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yuzhu Wang, Keyan Wang,