Results 31 to 40 of about 27,544 (311)

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.
openaire   +2 more sources

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 \(d \leq 3\)
Eden, A., Rakotoson, J.M.
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Scaling solution, radion stabilization, and initial condition for brane-world cosmology [PDF]

, 2003
We propose a new, self-consistent and dynamical scenario which gives rise to well-defined initial conditions for five-dimensional brane-world cosmologies with radion stabilization.
A. Aurilia, A. Chamblin, A. Kehagias, A. Lukas, A. Lukas, A.A. Coley, A.A. Coley, A.A. Coley, A.P. Billyard, A.P. Billyard, A.R. Liddle, Alan Coley, C. Csaki, C. Csaki, C. Csaki, D. Ida, E.E. Flanagan, H. Kudoh, H. Kudoh, H. Kudoh, H.S. Reall, J. Garriga, J. Garriga, J.M. Cline, K. Koyama, K. Maeda, L. Antoniadis, L. Randall, L. Randall, M. Sasaki, M. Visser, M.S. Bremer, N. Arkani-Hamed, N. Arkani-Hamed, P. Binétruy, P. Bowcock, P. Kanti, P. Kanti, P. Kraus, R. Emparan, R. Emparan, R. Emparan, R. Maartens, R.J. van den Hoogen, S. Mukohyama, S. Mukohyama, S. Mukohyama, S. Mukohyama, S. Mukohyama, S. Mukohyama, S. Mukohyama, S. Mukohyama, S.B. Giddings, Shinji Mukohyama, T. Shiromizu, T. Shiromizu, T. Tanaka, T. Tanaka, V.A. Rubakov, W.D. Goldberger   +59 more
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Exponential Attractor for the Boussinesq Equation with Strong Damping and Clamped Boundary Condition

Discrete Dynamics in Nature and Society, 2016
The paper studies the existence of exponential attractor for the Boussinesq equation with strong damping and clamped boundary condition utt-Δu+Δ2u-Δut-Δg(u)=f(x). The main result is concerned with nonlinearities g(u) with supercritical growth.
Fan Geng, Ruizhai Li, Xiaojun Zhang, Xiangyu Ge   +3 more
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Chaotic systems with variable indexs for image encryption application

Scientific Reports, 2022
A new chaotic system is obtained by changing the number of unknown parameters. The dynamical behavior of the chaotic system is investigated by the exponential change of the single unknown parameter and the state variable in the nonlinear term of the ...
Minxiu Yan, Jingfeng Jie, Ping Zhang
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Exponential attractor for Kirchhoff model with time delay and thermal effect

Results in Applied Mathematics, 2023
The Kirchhoff model is derived from the vibration problem of stretchable strings. In this paper, we focus on the long-time dynamics of the Kirchhoff model with time delay and thermal effect.
Penghui Lv, Guoguang Lin
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Trajectory and smooth attractors for Cahn-Hilliard equations with inertial term [PDF]

, 2009
The paper is devoted to a modification of the classical Cahn-Hilliard equation proposed by some physicists. This modification is obtained by adding the second time derivative of the order parameter multiplied by an inertial coefficient which is usually ...
Ambrosetti A, Babin A, Babin A, Babin A V, Bonfoh A Grasselli M Miranville A, Chepyzhov V V, Debussche A, Galenko P, Gatti S, Giulio Schimperna, Grasselli M, Maurizio Grasselli, Miranville A, Novick-Cohen A, Sergey Zelik   +14 more
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Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction

, 2017
In this paper we study the long-time behavior of a nonlocal Cahn-Hilliard system with singular potential, degenerate mobility, and a reaction term. In particular, we prove the existence of a global attractor with finite fractal dimension, the existence ...
Iuorio, Annalisa, Melchionna, Stefano
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Exponential attractors for nonclassical diffusion equations with arbitrary polynomial growth nonlinearity

AIMS Mathematics, 2021
In this paper, the dynamical behavior of the nonclassical diffusion equation is investigated. First, using the asymptotic regularity of the solution, we prove that the semigroup $ \{S(t)\}_{t\geq 0} $ corresponding to this equation satisfies the global ...
Jianbo Yuan, Shixuan Zhang, Yongqin Xie, Jiangwei Zhang   +3 more
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Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors

, 2013
We consider two dimensional maps preserving a foliation which is uniformly contracting and a one dimensional associated quotient map having exponential convergence to equilibrium (iterates of Lebesgue measure converge exponentially fast to physical ...
A Gorodnik, C Bonatti, C Pugh, C Pugh, CA Morales, CA Morales, CT Ionescu-Tulcea, D Ruelle, D Sullivan, DH Kim, DV Anosov, DY Kleinbock, EN Lorenz, G Keller, I Kontoyiannis, J Guckenheimer, J Palis, J Palis, JS Athreya, M Brin, M Pollicott, M Shub, Maria José Pacifico, N Gourmelon, PC Shields, R Hill, R Metzger, S Galatolo, S Galatolo, S Galatolo, S Galatolo, S Galatolo, S Galatolo, Stefano Galatolo, T Steinberger, V Araujo, V Araújo, Vitor Araújo, VS Afraimovich, VS Afraimovich, Y Pesin   +40 more
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