Pullback attractors for a singularly nonautonomous plate equation

Details Pullback attractors for a singularly nonautonomous plate equation Pullback attractors for a singularly nonautonomous plate equation

2010-12-21

arxiv.org/abs/1012.4749v1

Electronic Journal of Differential Equations n{\deg} 77, (2011), pp 1-13

Mathematics

Analysis of PDEs

Scientific paper

We consider the family of singularly nonautonomous plate equation with structural damping \[ u_{tt} + a(t,x)u_{t} + (- \Delta) u_{t} + (-\Delta)^{2} u + \lambda u = f(u), \] in a bounded domain $\Omega \subset \R^n$, with Navier boundary conditions. When the nonlinearity $f$ is dissipative we show that this problem is globally well posed in $H^2_0(\Omega) \times L^2(\Omega)$ and has a family of pullback attractors which is upper-semicontinuous under small perturbations of the damping $a$.

Affiliated with

Also associated with

No associations

Rating

Pullback attractors for a singularly nonautonomous plate equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pullback attractors for a singularly nonautonomous plate equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pullback attractors for a singularly nonautonomous plate equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-96608