Dissertation > Excellent graduate degree dissertation topics show

Asymptotic Behavior of Solutions for the Non-autonomous Suspension Bridge

Author: YangYun
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

Abstract


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)).

Related Dissertations

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

CLC: > Mathematical sciences and chemical > Mathematics > Dynamical systems theory
© 2012 www.DissertationTopic.Net  Mobile