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121.
Zhang Ke-Feng Fang Wei Lu Hui-Qing 《International Journal of Theoretical Physics》2006,45(7):1296-1307
In this paper, we propose the non-linear Born–Infeld scalar field and canonical scalar field dark energy models with the potential , which admits late time de Sitter attractor solution. The attractor solution corresponds to an equation of state ω_φ → − 1 and a cosmic density parameter Ω_φ → 1, which are important features for a dark energy model that can meet the current observations. dark energy; canonical scalar field, non-linear Born–Infeld type scalar field, attractor solution.
PACS number(s):98.80.-k; 98.80.Cq; 98.80.Es. 相似文献
122.
Exponential Attractor for a Nonlinear Boussinesq Equation 总被引:1,自引:0,他引:1
Ahmed Y. Abdallah 《应用数学学报(英文版)》2006,22(3):443-450
This paper is devoted to prove the existence of an exponential attractor for the semiflow generated by a nonlinear Boussinesq equation. We formulate the Boussinesq equation as an abstract equation in the Hilbert space H0^2(0, 1) × L^2(0, 1). The main step in this research is to show that there exists an absorbing set for the solution semiflow in the Hilbert space H0^3(0, 1) × H0^1(0, 1). 相似文献
123.
This paper deals with the Cahn–Hilliard equation
subject to the boundary conditions
and the initial condition ψ(0,x) = ψ0(x) where J = (0,∞), and Ω ⊂ ℝ
n
is a bounded domain with smooth boundary Γ = ∂ G, n≤ 3, and Γ
s
,σ
s
,g
s
> 0, h are constants.
This problem has already been considered in the recent paper of R. Racke and S. Zheng (The Cahn–Hilliard equation with dynamic
boundary conditions. Adv. Diff. Eq. 8, 83–110, 2003), where global existence and uniqueness were obtained. In this paper we first obtain results on the maximal
L
p
-regularity of the solution. We then study the asymptotic behavior of the solution of this problem and prove the existence
of a global attractor.
Mathematics Subject Classification (2000) 82C26, 35B40, 35B65, 35Q99 相似文献
124.
This paper investigates the pullback asymptotic behaviors for the non-autonomous micropolar fluid flows in 2D bounded domains. We use the energy method, combining with some important properties of the generated processes, to prove the existence of pullback exponential attractors and global pullback attractors and show that they both with finite fractal dimension. Further, we give the relationship between global pullback attractors and pullback exponential attractors. 相似文献
125.
Global dynamics of nonautonomous diffusive Hindmarsh–Rose equations on a three-dimensional bounded domain in neurodynamics is investigated. The existence of a pullback attractor is proved through uniform estimates showing the pullback dissipative property and the pullback asymptotical compactness. Then the existence of pullback exponential attractor is also established by proving the smoothing Lipschitz continuity in a long run of the solution process. 相似文献
126.
127.
The existence of exponential attractor for the diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain in the study of neurodynamics is proved through uniform estimates and a new theorem on the squeezing property of the abstract reaction-diffusion equation established in this paper. This result on the exponential attractor infers that the global attractor whose existence has been proved in [22] for the diffusive Hindmarsh-Rose semiflow has a finite fractal dimension. 相似文献
128.
Global dynamics for a new mathematical model in neurodynamics of the diffusive Hindmarsh-Rose equations on a bounded domain is investigated in this paper. The existence of a global attractor and its regularity are proved through uniform estimates showing the dissipative properties and the asymptotically compact and smoothing characteristics. 相似文献
129.
Grzegorz Guzik 《Journal of Difference Equations and Applications》2018,24(5):656-666
We discuss Conley-type approach to attractive sets for lower semicontinuous multifunctions. Since every iterated function system induces a Barnsley–Hutchinson multifunction which is l.s.c. in such a case it is much more natural to consider a multifunctions of that type then closed relations on compact spaces earlier considered by some authors. We use topological (Kuratowski’s) limit instead of commonly used Hausdorff metric. 相似文献
130.
The paper studies the longtime behavior of the Kirchhoff type equation with a strong dissipation utt−M(‖∇u‖2)Δu−Δut+h(ut)+g(u)=f(x). It proves that the related continuous semigroup S(t) possesses in the phase space with low regularity a global attractor which is connected. And an example is shown. 相似文献