Results 251 to 260 of about 9,762 (294)

Trajectory attractor and global attractor for a two-dimensional incompressible non-Newtonian fluid [PDF]

Journal of Mathematical Analysis and Applications, 2007
The authors construct the trajectory attractor and global attractor for an autonomous two-dimensional non-Newtonian ...
Caidi Zhao
exaly   +2 more sources

Global attractor for the generalized double dispersion equation [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2015
The paper studies the existence of global attractor for the generalized double dispersion equation arising in elastic waveguide model 'U IND.TT' −Δu−Δ'U IND.TT' +'Δ POT.2'u−Δ'U IND.T' − Δg(u) = f (x). The main result is concerned with nonlinearities g(u)
T F, Zhijian Yang
exaly   +2 more sources

The Global Attractor Under Discretisation [PDF]

, 1990
The effect of temporal discretisation on dissipative differential equations is analysed. We discuss the effect of discretisation on the global attractor and survey some recent results in the area. The advantage of concentrating on ω and α limit sets (which are contained in the global attractor) is described.
Andrew Stuart, Stuart, Andrew
openaire   +3 more sources

The global attractor of the damped forced Ostrovsky equation [PDF]

Journal of Mathematical Analysis and Applications, 2007
The existence of the global attractor of the damped forced Ostrovsky equation in L˜2(R) is proved for the forces in L˜2(R). Moreover, the global attractor of the equation in L˜2(R) is actually a compact set in H˜3(R)
Zhaohui Huo
exaly   +2 more sources

Global attractor of the Cahn–Hilliard equation in Hk spaces [PDF]

Journal of Mathematical Analysis and Applications, 2009
In this paper, by using an iteration procedure, regularity estimates for the linear semigroups and a classical existence theorem of global attractor we prove that the Cahn–Hilliard equation ut=−Δ2u+Δg(u) possesses a global attractor in Sobolev space Hk ...
Zhang, Yindi, Song, Lingyu, Ma, Tian
exaly   +2 more sources

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Global attractors for a tropical climate model

Applications of Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, Pigong, Lei, Keke, Liu, Chenggang, Wang, Xuewen   +3 more
openaire   +1 more source

Nonstandard analysis of global attractors

Mathematical Logic Quarterly, 2015
Key concepts of the theory of abstract dynamical systems are formulated in the language of nonstandard analysis (NSA). We are then able to provide simple and intuitive proofs of the basic facts. In particular, we use the NSA to give an alternative proof of the characterization of global attractors due to Ball. We also address the issue of connectedness.
Dalibor Prazák, Jakub Slavík
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Global attractors in electrohydrodynamics

International Journal of Engineering Science, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Global attractors for a vegetation model

Asymptotic Analysis, 2011
In this article, a rigorous mathematical treatment of the dryland vegetation model introduced by Gilad et al. [Phys. Rev. Lett. 98(9) (2004), 098105-1–098105-4, J. Theoret. Biol. 244 (2007), 680–691] is presented. We prove the existence and uniqueness of solutions in (L 1 (Ω))
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Cycles and Global Attractors of Reaction Systems

2014
Reaction systems are a recent formal model inspired by the chemical reactions that happen inside cells and possess many different dynamical behaviours. In this work we continue a recent investigation of the complexity of detecting some interesting dynamical behaviours in reaction system. We prove that detecting global behaviours such as the presence of
Enrico Formenti, Luca Manzoni, Antonio E. Porreca   +2 more
openaire   +3 more sources