Attractors for the nonlinear elliptic boundary value problems and their parabolic singular limit

Details Attractors for the nonlinear elliptic boundary value problems and their parabolic singular limit Attractors for the nonlinear elliptic boundary value problems and their parabolic singular limit

2011-10-09

arxiv.org/abs/1110.1834v1

Mathematics

Analysis of PDEs

Scientific paper

We apply the dynamical approach to the study of the second order semi-linear elliptic boundary value problem in a cylindrical domain with a small parameter at the second derivative with respect to the "time" variable corresponding to the axis of the cylinder. We prove that, under natural assumptions on the nonlinear interaction function and the external forces, this problem possesses the uniform attractors and that these attractors tend to the attractor of the limit parabolic equation. Moreover, in case where the limit attractor is regular, we give the detailed description of the structure of these uniform attractors when the perturbation parameter is small enough, and estimate the symmetric distance between the perturbed and non-perturbed attractors.

Affiliated with

Also associated with

No associations

Rating

Attractors for the nonlinear elliptic boundary value problems and their parabolic singular limit 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 Attractors for the nonlinear elliptic boundary value problems and their parabolic singular limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Attractors for the nonlinear elliptic boundary value problems and their parabolic singular limit will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-88244