Tutor: MaQiaoZhen

School: Northwest Normal University

Course: Applied Mathematics

Keywords: non-autonomous suspension bridge equation uniform compact at-tractors asymptotic regularity exponential attractors

CLC: O19

Type: Master's thesis

Year: 2013

Downloads: 2

Quote: 0

Read: Download Dissertation

In this paper, we study the long-time behavior of the solutions for the non-autonomous suspension bridge equations. Recently, many mathematical authors are interested in them and have obtained some excellent results such as [1-6].Our main results:we consider the following non-autonomous suspension bridge equations where Ω is a bounded domain in R5with smooth boundary. First, when g E Lb2(R,H2(Ω)), we obtain the existence of uniform compact attractors in H0. Fur-thermore, the asymptotic regularity of solution is proved, and based on this regu-larity, we investigate the existence of the exponential attractors in H0for the case g∈Lb2(R,L2(Ω)). |

- Exponential Attractor for Coupled Ginzburg-Landau Equations,O175.29
- Asymptotic Regularity and Uniform Attractor of A Class of Non-autonomous Wave Equations,O175.8
- Exponential Attrators for Klein-Gordon-Schrodinger lattice System and Running Periodic Solution of Equation of Pendulum’ Type with Segment Linear Periodic Function,O175
- Existence of the Attractors for Two Kinds of Partial Diffrential Equations,O175.2
- Long-time Dynamical Behavior of Global Solutions for the Equation with Fading Memory,O19
- Semigroups in Banach spaces existence of exponential attractors and Its Application,O152.7
- Dynamics for a Strongly Damped Wave Equation,O175
- Long Time Behavior of Solution for Generalized B-BBM Equation in Rn,O241.8
- Exponential Attractor for Zakharov Lattice System and Uniform Exponential Attractor for Nonautonomous Partly Dissipative Lattice System,O19
- Uniform Exponential Attractors for Three Kinds of Non-autonomous Infinite Lattice Systems,O175
- The Research on Synergetic Dynamical System of Evolution of Rock Mass Damage,O19
- Housdorff Dimensions of Sets of Sequences,O19
- Dynamical system fractal branching structure of the complex,O19
- With memories of discrete and continuous time dynamical systems on bifurcation behavior,O19
- On the Study of Asymptotically Stable for Fractional-order Neutral Retarded Dynamic Systems,O19
- Dynamical Systems and Attractors,O19
- Thue-Morse Word and Repetitions,O19
- Some Studies on Christoffel Words,O19
- Stability Analysis of Switched Positive Systems with Time Delay,O19
- Global Attractors and Fractal Dimensions for Non-Classical Reaction-Diffusion Equation with Memory,O19
- Stability of Dynamic Systems on Time Scales,O19

CLC: > Mathematical sciences and chemical > Mathematics > Dynamical systems theory

© 2012 www.DissertationTopic.Net Mobile