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Qualitative Research on Nonlinear Pseudoparabolic Equations

Author: SunMingLi
Tutor: YangHaiOu
School: Harbin Engineering University
Course: Applied Mathematics
Keywords: Nonlinear quasi parabolic equation Initial Boundary Value Cauchy problem The Global Solutions Asymptotic behavior
CLC: O175.26
Type: Master's thesis
Year: 2008
Downloads: 28
Quote: 0
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Abstract


Increasingly widespread in recent years with the contemplated application of the parabolic equation , the theoretical study its definite solution of the problem is also increasingly important for nonlinear quasi parabolic equation to describe a variety of physical phenomena , attention is the mathematical model is reasonable in order to reflect the physical phenomena , the most important prerequisite for the uniqueness of the model exists reasonable solution paper studied the initial boundary value problem and the Cauchy problem for nonlinear quasi parabolic equation , the following major elements : using classical Galerkin method to prove the global strong solution of the initial boundary value problem of a class of quasi parabolic equations existence and uniqueness of .2 . use of the contraction mapping principle and the Fourier transform method proved two types pseudoparabolic equations in local solution under certain conditions, and overall solution existence and uniqueness , and asymptotic properties of the overall solution .3 . using an improved integral estimate method , first discussed a class of generalized cubic color dispersion equation is equivalent transform the asymptotic properties of the generalized solution of the problem as a whole , and then study the asymptotic properties of the the overall generalized solution of the original problem . Finally, the this paper Theorem conclusions applications to the actual model , the asymptotic nature of the solution .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Partial Differential Equations > Parabolic equation
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