Uniform attractors for the non-autonomous p-Laplacian equations with dynamic flux boundary conditions
1 Department of Basic, Henan Mechanical and Electrical Engineering College, Xinxiang, 453003, P.R. China
2 School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, P.R. China
Boundary Value Problems 2013, 2013:128 doi:10.1186/1687-2770-2013-128Published: 17 May 2013
This paper studies the long-time asymptotic behavior of solutions for the non-autonomous p-Laplacian equations with dynamic flux boundary conditions in n-dimensional bounded smooth domains. We have proved the existence of the uniform attractor in for the non-autonomous p-Laplacian evolution equations subject to dynamic nonlinear boundary conditions by using the Sobolev compactness embedding theory, and the existence of the uniform attractor in by asymptotic a priori estimate.