Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419181 | Journal of Mathematical Analysis and Applications | 2013 | 11 Pages |
Abstract
The paper studies the longtime dynamics of the damped Boussinesq equation utt+Î2uâÎutâÎg(u)=f(x). First, the existence of global solutions to the initial boundary value problem of the equation is obtained provided that the growth exponent of g(u), say p, is either non-supercritical (subcritical and critical) or supercritical, especially, the stability of solutions is established when p is non-supercritical. Second, the existence of a global attractor and an exponential attractor for the related solution semigroup S(t) are respectively established in the non-supercritical case.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Zhijian Yang,