In this paper, we study asymptotic behaviors for classical thermoelastic plate equations with
the Fourier law of heat conduction in the whole space ℝ n R^ n, where we introduce a …

The aim of this paper is to study the long-time dynamics of solutions of the evolution system
{utt− Δ u+ u+ η (− Δ) 1 2 u t+ a ϵ (t)(− Δ) 1 2 vt= f (u),(x, t)∈ Ω×(τ,∞), vtt− Δ v+ η (− Δ) 1 2 vt …

We consider a nonautonomous semilinear evolution problem that models some sort of
propagation problem in nonlinear elastic rods and nonlinear ion-acoustic waves. We …

We investigate the Cauchy problem for the thermoelastic plate system associated with
Newton's law of cooling, where optimal growth ($ n\leqslant 4$) or decay ($ n\geqslant 5$) …

This work is dedicated to study a non-autonomous formulation of the Klein-Gordon-Zakharov
system, which is a coupled system consisting of two non-autonomous evolution equations …

We mainly consider semilinear thermoelastic plate systems with general power
nonlinearities in the whole space R n. By applying the Fourier analysis, some sharp (Lq∩ …