Results 11 to 20 of about 2,047 (259)
The Exponential Attractors for the g-Navier-Stokes Equations [PDF]
Journal of Function Spaces and Applications, 2012 We consider the exponential attractors for the two-dimensional g-Navier-Stokes equations in bounded domain Ω. We establish the existence of the exponential attractor in L2(Ω).
Delin Wu, Jicheng Tao
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Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions [PDF]
Journal of Applied Mathematics, 2013 We study exponential attractors for semilinear parabolic equations with dynamic boundary conditions in bounded domains. First, we give the existence of the exponential attractor in by proving that the corresponding semigroup satisfies the enhanced ...
Zhao-hui Fan
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Pullback exponential attractors
Discrete and Continuous Dynamical Systems, 2010 In this work, we show how to construct a pullback exponential attractor associated with an infinite dimensional dynamical system, i.e., a family of time dependent compact sets, with finite fractal dimension, which are positively invariant and exponentially attract in the pullback sense every bounded set of the phase space.
JOSÉ A Langa +2 more
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Exponential Stability and Global Attractors for a Thermoelastic Bresse System
Advances in Difference Equations, 2010 We consider the stability properties for thermoelastic Bresse system which describes the motion of a linear planar shearable thermoelastic beam. The system consists of three wave equations and two heat equations coupled in certain pattern.
Ma Zhiyong
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Exponential attractors for a nonclassical diffusion equation
Electronic Journal of Differential Equations, 2009 In this article, we prove the existence of exponential attractors for a nonclassical diffusion equation in ${H^{2}(Omega)}cap{H}^{1}_{0}(Omega)$ when the space dimension is less than 4.
Qiaozhen Ma, Yong-Feng Liu
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Number of Attractors in the Critical Kauffman Model Is Exponential
Physical Review Letters, 2023 The Kauffman model is the archetypal model of genetic computation. It highlights the importance of criticality, at which many biological systems seem poised. In a series of advances, researchers have honed in on how the number of attractors in the critical regime grows with network size. But a definitive answer has proved elusive.
T. M. A. Fink, F. C. Sheldon
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Existence of exponential attractors for the coupled system of suspension bridge equations
Boundary Value Problems, 2023 In this paper, we investigate the asymptotic behavior of the coupled system of suspension bridge equations. Under suitable assumptions, we obtain the existence of exponential attractors by using the decomposing technique of operator semigroup.
Jun-dong Jin
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Continuous Dependence on a Parameter of Exponential Attractors for Nonclassical Diffusion Equations
Discrete Dynamics in Nature and Society, 2020 In this paper, a new abstract result is given to verify the continuity of exponential attractors with respect to a parameter for the underlying semigroup.
Gang Wang, Chaozhu Hu
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EXPONENTIAL ATTRACTOR FOR HINDMARSH-ROSE EQUATIONS IN NEURODYNAMICS
Journal of Applied Analysis & Computation, 2020 The existence of an exponential attractor for the diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain originated in the study of neurodynamics is proved through uniform estimates together with a new theorem on the squeezing property of an abstract reaction-diffusion equation also proved in this paper.
Phan, Chi, You, Yuncheng
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Exponential Potentials and Attractor Solution of Dilatonic Cosmology [PDF]
International Journal of Theoretical Physics, 2007 We present the scalar-tensor gravitational theory with an exponential potential in which pauli metric is regarded as the physical space-time metric. We show that it is essentially equivalent to coupled quintessence(CQ) model. However for baryotropic fluid being radiation there are in fact no coupling between dilatonic scalar field and radiation.
Fang, Wei, Lu, H. Q., Huang, Z. G.
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