Results 241 to 250 of about 53,894 (288)

Global attractor for the regularized Bénard problem

Applicable Analysis, 2014
In this paper, we study the asymptotic behaviour of weak solutions for the regularized Benard problem. We establish the global existence and uniqueness of weak solutions of this problem and give a proof for the existence of global attractor in the three-dimensional case for this system.
ÇELEBİ, AHMET OKAY, KAYA, MERYEM
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Consequences Regarding the Global Attractor

1989
Let X be the global attractor of the dissipative system under consideration. Recall that X is the largest set in H with the properties (i) S(t)X = X for t ≥ 0, (ii) X is bounded in H, (iii) dist(S(t)uo,X) → 0 as t → ∞ for all uo ∈ H.
P. Constantin, C. Foias, B. Nicolaenko, R. Teman   +3 more
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Global Attractor of One Nonlinear Parabolic Equation

Ukrainian Mathematical Journal, 2003
Let \(\Omega \) be a domain in \(\mathbb R^n\) with smooth boundary \(\partial \Omega \), \(\Omega_T:=[0,T]\times \Omega \). The authors consider the Cauchy-Dirichlet problem \[ \begin{gathered} u_t=a\Delta u-f(u)+\lambda u+\langle {\mathbf b}({\mathbf x}),\nabla u \rangle -g({\mathbf x});\tag{1} \\ u\big|_{\partial \Omega}=0,\quad u\big|_{t=0}=u_0 ...
Kapustyan, O. V., Shkundin, D. V.
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Global attractors and bifurcations

1996
We present some recent developments in the study of attractors of smooth dynamical systems, specially attractors whose basin has a global character. A key point in our approach is to explore the relations between this study and that of main bifurcation mechanisms.
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Global Attractors in Impulsive Infinite-Dimensional Systems

Ukrainian Mathematical Journal, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kapustyan, O. V., Perestyuk, M. O.
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Global attractors and approximate inertial

Applicable Analysis, 1993
An abstract nonautonomous differential equation, u' + Au + F(u) = f ( t ) , is considered using assumptions appropriate for systems of reaction-diffusion equations on multi-dimensional spatial domains. A priori estimates establish the existence of absorbing balls in relevant function spaces, and nonsequently the existence of a global attractor is ...
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Global Attractors for a Nonclassical Diffusion Equation

Acta Mathematica Sinica, English Series, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Chun You, Wang, Su Yun, Zhong, Cheng Kui   +2 more
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Global attractors for piezoelectric solids

ANNALI DELL UNIVERSITA DI FERRARA, 2004
The Galerkin method is applied to study an hyperbolic-elliptic initial-boundary value problem in the theory of piezoelectric solids. We prove that the semigroup generated by the corresponding dynamical system has a global attractor.
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Global attractor of atmospheric equations

Asymptotic Analysis, 2016
We consider the three-dimensional primitive equations of the atmosphere with humidity and saturation associated with suitable boundary conditions. These equations have been shown to lead to well-posed problem producing a continuous semigroup despite the discontinuities due to the change of phase between vapor water and liquid water.
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Global attractors for autonomous evolution equations

2012
Chapter 2 is concerned with large time behaviour of solutions of evolution equations in terms of the global attractor, its existence and properties. Note that, good estimates on the dimension of attractors in terms of biological (medical, physical etc.) parameters are crucial for the finite-dimensional reduction and at present there exists a highly ...
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