Results 31 to 40 of about 1,311,893 (303)
Exponential approach to the hydrodynamic attractor in Yang-Mills kinetic theory [PDF]
Physical Review D, 2022 We use principal component analysis to study the hydrodynamic attractor in Yang-Mills kinetic theory undergoing the Bjorken expansion with Color Glass Condensate initial conditions.
Xiaojian Du +3 more
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Exponential attractors of the nonlinear wave equations [PDF]
Chinese Science Bulletin, 1998 This paper is devoted to the exponential attractors of nonlinear wave equations of the form: \[ \begin{cases} u_{tt}+ \alpha u_t-\Delta u+g(u)= f(x), (x,t) \in\Omega \times\mathbb{R}_+,\\ u|_{\partial \Omega}=0,\;u(x,0)=u_0(x),\;u_t(x,0)= u_1(x).\end{cases} \] The authors prove \(H^1_0(\Omega)\times L^2 (\Omega)\)-type exponential attractors using both
Zhengde Dai, Dacai Ma
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AIMS Mathematics, 2023 Our aim in this paper is to study generalizations of the Caginalp phase-field system based on a thermomechanical theory involving two temperatures and a nonlinear coupling. In particular, we prove well-posedness results. More precisely, the existence and
Grace Noveli Belvy Louvila +3 more
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Discrete & Continuous Dynamical Systems - B, 2020 We mainly consider the existence of a random exponential attractor (positive invariant compact measurable set with finite fractal dimension and attracting orbits exponentially) for stochastic discrete long wave-short wave resonance equation driven by ...
Xingni Tan, Fuqi Yin, Guihong Fan
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Exponential attractors for non-autonomous dissipative system [PDF]
Journal of the Mathematical Society of Japan, 2011 In this paper we will introduce a version of exponential attractor for non-autonomous equations as a time dependent set with uniformly bounded finite fractal dimension which is positively invariant and attracts every bounded set at an exponential rate. This is a natural generalization of the existent notion for autonomous equations.
Messoud, Efendiev +2 more
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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.
H. Q. Lu, W. Fang, Zengguang Huang
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Pullback exponential attractors
Discrete & Continuous Dynamical Systems - A, 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 Real +2 more
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Pullback exponential attractors for differential equations with delay
Discrete & Continuous Dynamical Systems - S, 2021 We show the existence of an exponential attractor for non-autono-mous dynamical system with bounded delay. We considered the case of strong dissipativity then prove that the result remains for the weak dissipativity. We conclude then the existence of the global attractor and ensure the boundedness of its fractal dimension.
Tarfia s +4 more
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Exponential Attractors for a Doubly Nonlinear Equation
Journal of Mathematical Analysis and Applications, 1994 The authors investigate the following scalar PDE: \[ \partial_ t \beta (u) = \Delta u - g(x,u) \quad \text{on} \quad \mathbb{R}_ + \times \Omega \tag{1} \] with \(u=0\) on \(\mathbb{R}_ + \times \partial \Omega\) and \(\beta (u(0,x)= \beta (u_ 0(x))\) for \(x \in \Omega\) for some given \(u_ 0\). Here \(\Omega \subseteq \mathbb{R}^ d\) with \(d \leq 3\)
Alp Eden, J.M. Rakotoson
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AIMS Mathematics, 2023 We mainly study the existence of random uniform exponential attractors for non-autonomous stochastic Schrödinger lattice system with multiplicative white noise and quasi-periodic forces in weighted spaces.
Rou Lin, Min Zhao, Jinlu Zhang
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