Dissertation > Excellent graduate degree dissertation topics show

Properties of the Global Attractors for the Variable Parameter Diffusion Equation with Fading Memory

Author: ZhaoJuanXia
Tutor: WangZuo
School: Northwest Normal University
Course: Basic mathematics
Keywords: Nonclassical diffusion equations Global attractors Upper semi-continuity Critical exponent Fractal dimension Fading memory
CLC: O19
Type: Master's thesis
Year: 2013
Downloads: 21
Quote: 0
Read: Download Dissertation


In this article, we mainly studied the non-classical diffusion equation with fading memory. The specific study of two questions:i) We study the initial value problems of the non-classical diffusion equation with variable parameters and fading memory: where a≥0. By using semi-group theory, we obtain the continuity of solutions in the weak topological space, when the nonlinearity is critical and the forcing term only belongs to H-1(Q). Therefore, upper semi-continuity of the global attractors for the variable parameter diffusion equation with fading memory is obtained. The results are the improvements and extensions of the results of paper.ii) We study the following a periodic boundary value problem for a non-classical diffusion equation with memory: where uo(x, t)is a known periodic function in x∈R3for t≤0, and we assume L=(L1,L2,L3). By using semi-group theory and fractal dimension theory, we obtain the fractal dimension of the global attractor is finite when the nonlinearity is critical and the forcing term only belongs to C2(R,R). The results are the improvements and extensions of the results of paper.

Related Dissertations

  1. Study of Water-Inrush Danger Forecast of Coal Seam Floor Based on Multi Factor’s Fuzzy Clustering Approach,TD745
  2. The Experiment of Normal Bond Properties between FRP and Concrete,TU528.572
  3. High-speed detection and bayonet vehicle license identification information,TP391.41
  4. Based on synchrotron radiation CT imaging of breast cancer quantitative study of microvascular,R318
  5. The Application of Rockmass Mechanics in Coal Deformation,P618.11
  6. Study on Several Classes of Generalized Vector Quasi-Equilibrium Problems,O177
  7. Application of Fractal Theroy on Study of Cracks’ Developmental Orderliness on the Surface of Reinforced Concrete Component,TU375
  8. EEG-EMG Synergistic Analysis and Correlation Study Based on External-Source Load Inspiration,R87
  9. Hydrophobic Evaluation of Polymer Insulator Based on Surface Discharge,TM216
  10. Seven kinds of indoor potted foliage plants Comparative Study of ecological functions,S682.36
  11. The Study on Waterside Line and Tidal Channel Remote Sensing Information Extraction in the Yangtze River Estuary,P237;P748
  12. Preparation of Starch-Acrylamide Copolymer Using Inverse Emulsion Polymerization,TQ316.334
  13. Research on Chinese Character Recognition of Low Quality License Plate,TP391.41
  14. The Research on CBIR and System Realization,TP391.41
  15. Well-posedness for Parametric Strong Vector Equilibrium Problems and Symmetric Vector Quasi-equilibrium Problems,O177
  16. Research on Flocculation Kinetics Based on the Coagulationand Precipitation Integrated Process,TU991.2
  17. Analysis and Control Technology on Floc Morphological Characteristics in Micro-Flocculation Stage,TU991.2
  18. Study on the Characteristics and Modeling of Surface Roughness in the Loess Sloping Field,S157.1
  19. Algorithm and Simulation of Coastline Echo’s Generation in Radar/ARPA Simulator,TN955
  20. Short-term Stock Market Predictability and Forecasting Analysis Based on Chaos Theory,F832.51
  21. The Study of Fractal Growth in Random Medium,O415.5

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