Uniform attractors for non-autonomous Klein-Gordon-Schrödinger lattice systems

Uniform attractors for non-autonomous Klein-Gordon-Schrödinger lattice systems

The existence of a compact uniform attractor for a family of processes corresponding to the dissipative non-autonomous Klein-Gordon-Schrödinger lattice dynamical system is proved. An upper bound of the Kolmogorov entropy of the compact uniform attractor is obtained, and an upper semicontinuity of th...

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Veröffentlicht in:Applied mathematics and mechanics 2009-12, Vol.30 (12), p.1597-1607
Hauptverfasser: Huang, Jin-wu, Han, Xiao-ying, Zhou, Sheng-fan
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Classical Mechanics
Dissipation
Dynamical systems
Dynamics
Entropy
Fluid- and Aerodynamics
Lattices
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Partial Differential Equations
Upper bounds
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Zusammenfassung:The existence of a compact uniform attractor for a family of processes corresponding to the dissipative non-autonomous Klein-Gordon-Schrödinger lattice dynamical system is proved. An upper bound of the Kolmogorov entropy of the compact uniform attractor is obtained, and an upper semicontinuity of the compact uniform attractor is established.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-009-1211-z