Dissertation > Excellent graduate degree dissertation topics show

Existence and asymptotic behavior of nonlinear viscoelastic wave Equations

Author: WangQiuXia
Tutor: LiFuShan
School: Qufu Normal University
Course: Basic mathematics
Keywords: Nonlinear wave equation Faedo - Galerkin method Existence Uniqueness Contraction Mapping Principle Attenuation
CLC: O175.2
Type: Master's thesis
Year: 2011
Downloads: 21
Quote: 0
Read: Download Dissertation

Abstract


In this paper, consider the following nonlinear integro - differential equations initial boundary value problem exist only with exponential decay , this article is divided into four sections: the first section describes the significance of nonlinear viscoelastic wave equation at home and abroad . the status quo, given the assumptions need II listed Sobolev embedding theorem and several important inequality prior knowledge of the third quarter , to prove ( 1.1 ) - (1.3) solution existence and uniqueness of , including Faedo - Galerkin approximation, a priori estimate , limiting process and uniqueness of solution of four parts prove Theorem 3.1, Theorem 3.2 . fourth quarter contraction mapping principle , through the introduction of the following energy functional proof understand the exponential decay , and prove that there exists a positive т1 gt ; kappa ≥ 0 ( ? ) t ≥ ( ? ) , the energy functional E ( t ) satisfies

Related Dissertations

  1. Research on Anti-periodic Solutions of Delayed Cellular Neural Networks without Assuming Global Lipschitz Conditions,TP183
  2. Experimental Study on Heavy Metals Adsorption or Release from Sediments of East Dongting Lake,X524
  3. Living conditions of migrant workers and its influencing factors,D412.6
  4. Existence of Vocational School Class Teachers,G715.1
  5. A Basal and Clinical Reseach Ofω-3 Polyunsaturated Fatty Acids to Seal Non-alcoholic Fatty Liver Disease,R575.5
  6. Research on China’s Death Penalty System,D924.1
  7. Problems and Countermeasures of Medium-city TV,G229.24
  8. Zhang Henshui the female image analysis,I207.42
  9. The Existence of Global Solution for Stochastic Functional Differential Equation,O211.63
  10. The Existence of Positive Solutions of a Class of Even Order Nonlinear Differential Equations,O175
  11. The Global Existence of Solutions for Predation Models with Tropism Item,O175
  12. Blue-green laser communication channel of seawater,TN929.1
  13. General anisotropic degenerate parabolic - hyperbolic equations homogeneous Dirichlet problem,O175.2
  14. Dendrimer stabilized bismuth sulfide nanoparticles synthesis , characterization and application of CT imaging,O614.532
  15. Direction of the high degree of flatness and high broadband directional coupler design research,TN622
  16. \,H146
  17. Bachmann in the early short stories on the theme of contemporary survival performance,I521
  18. The Response Analyse of Site Earthquake Motion on Ni’er Earthquake,P315
  19. Optimal Control for Stable Solution of Repairable Human-Machine Systems,O232
  20. The Uniqueness of Meormorphic Functions Sharing Three Values and Sharing One Value with Their Derivatives,O174.52
  21. Uniqueness Theorems of Meromorphic Functions Whose Nonlinear Differential Polynomials Share a Non-zero Polynomial and Public Values,O174.52

CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Partial Differential Equations
© 2012 www.DissertationTopic.Net  Mobile