Affiliation:
1. School of Mathematics and Statistics, Suzhou University, Suzhou 234000, Anhui, P. R. China
Abstract
In this paper, the long-time behavior and blowup of solutions for two generalized Ginzburg–Landau type equations with several nonlinear source terms are investigated. First, the conditions in which the solutions of the two equations are positive are analyzed by using Green’s function. According to the characteristics of nonlinear terms, four different functionals are constructed for solving the problems. Finally, we obtain the long-time behavior and finite-time blowup of solutions for the initial and boundary value problem by using these functionals.
Funder
the Natural Science Foundation of Anhui Province
Key Projects of Suzhou University Outstanding Youth Talent Support Program
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modeling and Simulation
Cited by
1 articles.
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