Dissertation > Excellent graduate degree dissertation topics show

Blow-up Analysis for Parabolic Systems with Nonlinearities of Mixed Types

Author: YuanShuJie
Tutor: ZhengSiNing
School: Dalian University of Technology
Course: Computational Mathematics
Keywords: Nonlinear parabolic equation ( group ) Global Solutions Finite time Mixed nonlinear Nonlinear power function Exponential nonlinearity
CLC: O175.26
Type: Master's thesis
Year: 2006
Downloads: 31
Quote: 0
Read: Download Dissertation

Abstract


In this thesis, having a mixed type of multiple nonlinear term parabolic initial boundary value problem , equations of nonlinear term is a power function and exponential type, these nonlinear terms of a series of different combinations of equations groups. This paper considers sixteen different combinations of the eight . By coupling different positions divided into three categories , which are the source - source coupled flow - flow coupling and source - flow coupling. By comparison principle we get equation ( group ) of upper and lower solutions , and understand the finite time to establish the necessary and sufficient conditions . Introduction This paper introduces the research background and development problems of the actual situation . The second chapter describes the basic knowledge related to this article . The third chapter introduces the problems to be studied , and the solution of these problems occur given finite time necessary and sufficient conditions . In the fourth chapter demonstrate that a third chapter gives blasting conditions . The last chapter the results for a complete analysis and discussion .

Related Dissertations

  1. Attitude Determination and Finite Time Control Algorithms for a Satellite,V448.222
  2. Non-fragile Guaranteed Cost Control for Uncertain Descriptor Systems,TP13
  3. Chaos Synchronization, Parameter Identification and Application in Secure Communication,TN918.6
  4. With critical SOBOLEV and HARDY index of the existence of certain degenerate parabolic equations and asymptotic behavior,O175.26
  5. Global Solutions for Initial Value Problems of Ordinary Differential Equations in Banach Spaces,O177.9
  6. The Finite Time Stabilization Problem of Nonlinear Systems with Uncertainty,O231.2
  7. The Initial Boundary Problem of the Semilinear Heat Equation with Two Temperatures,O175.8
  8. Existance and Uniqueness of the Entire Solution to Canchy Problem of Evolution Equation,O175.26
  9. Study of Trajectory Tracking Control Methods on Nonholonomic Mobile Robot,TP242
  10. A class of fourth-order asymptotic behavior of solutions of parabolic equations,O175.26
  11. Research on Finite-Time Stability Analysis and Control Design,TP13
  12. Thermodynamics Simulation of Compound Condensing Technology,TU111
  13. Video scene analysis of target groups,TP391.41
  14. The Existence of Global Solutions for the Initial-Boundary Value Problem of the Parabolic Equation,O175.8
  15. Study on Two New Control Method of Underactuated Robot,TP242
  16. A tumor model inverse problem,O242.1
  17. Finite-Time Control Design of Nonlinear Systems with Adjustable-Settling-Time,TP13
  18. Blow up of a Class of Semilinear Parabolic Equation,O175.26
  19. Qualitative Research on Nonlinear Pseudoparabolic Equations,O175.26
  20. A class of nonlinear wave equations and Cauchy initial boundary value problem,O175.8

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