Attractor for a viscous coupled Camassa-Holm equation.
Attractor of a semi-discrete Benjamin-Bona-Mahony equation on ℝ¹
This paper is concerned with the study of the large time behavior and especially the regularity of the global attractor for the semi-discrete in time Crank-Nicolson scheme to discretize the Benjamin-Bona-Mahony equation on ℝ¹. Firstly, we prove that this semi-discrete equation provides a discrete infinite-dimensional dynamical system in H¹(ℝ¹). Then we prove that this system possesses a global attractor in H¹(ℝ¹). In addition, we show that the global attractor is regular, i.e., is actually...
Attractors for a class of doubly nonlinear parabolic systems.
Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homogenization