Results 1 to 10 of about 27,202 (290)

Quintessence arising from exponential potentials [PDF]

, 1999
We demonstrate how exponential potentials that could arise in the early Universe as a result of Kaluza-Klein type compactifications of string theory, can lead to cosmological solutions which correspond to the currently observed accelerating Universe. The
A. Albrecht, A. Masiero, A.G. Riess, A.M. Green, A.R. Liddle, B. Ratra, B. Spokoiny, C. Wetterich, D. Wands, D.J. Holden, E. J. Copeland, E.J. Copeland, E.J. Copeland, F. Perrotta, H. Lu, H.A. Chamblin, I. Zlatev, I.V. Lavrinenko, J.P. Uzan, L. Amendola, L. Wang, M. Bremer, M.C. Bento, N. Bartolo, N. J. Nunes, N.A. Bahcall, P. Binétruy, P. Brax, P. Brax, P.G. Ferreira, P.J. Steinhardt, P.J.E. Peebles, P.J.E. Peebles, R.R. Caldwell, S. Perlmutter, S. Perlmutter, S.W. Hawking, T. Barreiro, T. Barreiro, T. Chiba, T. Matos   +40 more
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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
doaj   +1 more source

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

Dynamics of Assisted Inflation [PDF]

, 1998
We investigate the dynamics of the recently proposed model of assisted inflation. In this model an arbitrary number of scalar fields with exponential potentials evolve towards an inflationary scaling solution, even if each of the individual potentials is
A. B. Burd, A. D. Linde, A. D. Linde, A. H. Guth, A. R. Liddle, A. R. Liddle, C. Wetterich, C. Wetterich, D. La, D. S. Salopek, D. Wands, D. Wands, David Wands, E. J. Copeland, E. J. Copeland, F. Lucchin, H. Kodama, J. García-Bellido, J. García-Bellido, J. J. Halliwell, J. M. Bardeen, Karim A. Malik, M. Sasaki, P. G. Ferreira, P. G. Ferreira, P. T. P. Viana, V. F. Mukhanov   +26 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 \(d \leq 3\)
Eden, A., Rakotoson, J.M.
openaire   +2 more sources

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
doaj   +1 more source

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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Pullback Attractor for a Non-Autonomous Generalized Cahn-Hilliard Equation with Biological Applications

Mathematical Modelling and Analysis, 2016
In this paper, we consider a non-autonomous generalized Cahn-Hilliard equation with biological applications. It is shown that a pullback attractor of the equation exists when the external force has exponential growth.
Ning Duan
doaj   +1 more source

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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Weak topologies for Carath\'eodory differential equations. Continuous dependence, exponential Dichotomy and attractors [PDF]

, 2018
We introduce new weak topologies and spaces of Carath\'eodory functions where the solutions of the ordinary differential equations depend continuously on the initial data and vector fields.
Longo, Iacopo P., Novo, Sylvia, Obaya, Rafael   +2 more
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