Attractors for Partly Dissipative Reaction Diffusion Systems in Rn

Attractors for Partly Dissipative Reaction Diffusion SYstems in R^n

In this paper, we study the asymptotic behavior of solutions for the partly dissipative reaction diffusion equations in ‫ޒ‬ n. We prove the asymptotic compact-ness of the solutions and then establish the existence of the global attractor in 2 Ž n .

Pullback D-attractors for non-autonomous partly dissipative reaction-diffusion equations in unbounded domains

At present paper, we establish the existence of pullback $mathcal{D}$-attractor for the process associated with non-autonomous partly dissipative reaction-diffusion equation in $L^2(mathbb{R}^n)times L^2(mathbb{R}^n)$. In order to do this, by energy equation method we show that the process, which possesses a pullback $mathcal{D}$-absorbing set, is pullback $widehat{D}_0$-asymptotically compact.

pullback d-attractors for non-autonomous partly dissipative reaction-diffusion equations in unbounded domains

at present paper, we establish the existence of pullback $mathcal{d}$-attractor for the process associated with non-autonomous partly dissipative reaction-diffusion equation in $l^2(mathbb{r}^n)times l^2(mathbb{r}^n)$. in order to do this, by energy equation method we show that the process, which possesses a pullback $mathcal{d}$-absorbing set, is pullback $widehat{d}_0$-asymptotically compact.

Upper Semicontinuity of the Attractor for Lattice Dynamical Systems of Partly Dissipative Reaction-diffusion Systems

Lattice dynamical systems arise in various application fields, for instance, in chemical reaction theory, material science, biology, laser systems, image processing and pattern recognition, and electrical engineering (cf. [6, 7, 13]). In each field, they have their own forms, but in some other cases, they appear as spatial discretizations of partial differential equations (PDEs). Recently, many...

Partly Dissipative Reaction-diffusion Systems and a Model of Phosphorus Diffusion in Silicon