DocumentCode
2785615
Title
Blow-Up of solution for G-L type equation in population problem
Author
Ning Chen ; Tian, Bao-dan ; Chen, Ning
Author_Institution
Sch. of Sci., Southwest Univ. of Sci. & Technol., Mianyang, China
fYear
2009
fDate
23-25 Oct. 2009
Firstpage
84
Lastpage
87
Abstract
In this paper, on foundation of [D.S. Cohen and J.D. Murray, 1981; G.W. Chen et al., 1996; Chen Ning, 2005; Qi Lin Liu et al., 2003], to study population problem with extension Ginzbur-Landau type for (1) (3) and more general higher order nonlinear parabolic equation with initial bounded value problem which expresses it in existence, unique for classical solution, and by some method, to study this generalized solution and Blow-up phenomena. We obtain some new results, by means of method in to prove the local degenerative problem with homogeneous Dirichlet´s boundary value that on suite condition the solution is symmetry function for radius, then the rate of blow-up are same when the solution is blow-up in finite time, and consider blow-up set.
Keywords
initial value problems; nonlinear equations; parabolic equations; set theory; Ginzbur-Landau type equation; blow-up set; finite time; homogeneous Dirichlet boundary value; initial bounded value problem; local degenerative problem; nonlinear parabolic equation; population problem; symmetry function; Boundary value problems; Extremities; Nonlinear equations; Sufficient conditions; Blow-up rate; Blow-up set; Nonlinear high order parabolic Ginzbur-Landau models;
fLanguage
English
Publisher
ieee
Conference_Titel
Apperceiving Computing and Intelligence Analysis, 2009. ICACIA 2009. International Conference on
Conference_Location
Chengdu
Print_ISBN
978-1-4244-5204-0
Electronic_ISBN
978-1-4244-5206-4
Type
conf
DOI
10.1109/ICACIA.2009.5361145
Filename
5361145
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