Publisher Summary The study of the asymptotic behavior of dynamical systems arising from
mechanics and physics is a capital issue because it is essential for practical applications to …

The existence of a pullback attractor is established for a stochastic reaction–diffusion
equation on all n-dimensional space. The nonlinearity is dissipative for large values of the …

We prove the existence of a compact random attractor for the stochastic Benjamin–Bona–
Mahony equation defined on an unbounded domain. This random attractor is invariant and …

We analyze the linear theory of parabolic equations in uniform spaces. We obtain sharp Lp-
Lq-type estimates in uniform spaces for heat and Schrödinger semigroups and analyze the …

In this paper, we first improve the existing conditions for the existence of a random
exponential attractor for a continuous cocycle on a separable Banach space. Then we …

The existence of a random attractor for the stochastic FitzHugh–Nagumo system defined on
an unbounded domain is established. The pullback asymptotic compactness of the …

In this paper we prove the existence of a compact global attractor for a reaction–diffusion
equation on [TeX:]\[$\mathbb {R}^{N} $. We do not assume that the nonlinear term is …

In this paper, we prove the existence of global attractors for a nonlinear reaction–diffusion
equation with a nonlinearity having a polynomial growth of arbitrary order p-1 (p⩾ 2), and …

In this paper, we study the long-time behaviour of solutions of Cauchy problem for the
parabolic $ p $-Laplacian equation with variable coefficients. Under mild conditions on the …

In this paper, we investigate the asymptotic behavior of the Benjamin–Bona–Mahony
equation in unbounded domains. We prove the existence of a global attractor when the …