Study of Solutions to a Fourth Order Parabolic Equation

This paper studies a fourth-order parabolic equation with the boundary conditions and the initial condition . The existence of solutions is obtained from the semidiscretization method. When the initial function is close to a constant steady state solution, the uniqueness of the bounded solutions is...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 21; no. 1; pp. 1 - 15
Main Authors Liang, Bo, Peng, Xiting, Shen, Huiying
Format Journal Article
LanguageEnglish
Published Taylor & Francis 02.01.2016
Vilnius Gediminas Technical University
Subjects
Constants
Convergence (Mathematics)
existence
Existence theorems
fourth-order parabolic
Infinity
Initial conditions
large-time behavior
Mathematical analysis
Mathematical models
Mathematical research
Parabolas
semidiscretization
Steady state
Uniqueness
existence
semidiscretization
uniqueness
fourth-order parabolic
large-time behavior
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Summary:This paper studies a fourth-order parabolic equation with the boundary conditions and the initial condition . The existence of solutions is obtained from the semidiscretization method. When the initial function is close to a constant steady state solution, the uniqueness of the bounded solutions is obtained. Finally, by the iteration technique from its semi-discrete problem, the solution exponentially converges to a constant steady state solution as the time tends to infinity.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1392-6292
1648-3510
DOI:10.3846/13926292.2016.1127860