Pullback Attractors for Nonclassical Diffusion Equations in Noncylindrical Domains
Joint Authors
Toan, Nguyen Duong
The Anh, Cung
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-30, 30 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-15
Country of Publication
Egypt
No. of Pages
30
Main Subjects
Abstract EN
The existence and uniqueness of a variational solution are proved for the following nonautonomous nonclassical diffusion equation ut-εΔut-Δu+f(u)=g(x,t), ε∈(0,1], in a noncylindrical domain with homogeneous Dirichlet boundary conditions, under the assumption that the spatial domains are bounded and increase with time.
Moreover, the nonautonomous dynamical system generated by this class of solutions is shown to have a pullback attractor ?̂ε, which is upper semicontinuous at ε=0.
American Psychological Association (APA)
The Anh, Cung& Toan, Nguyen Duong. 2012. Pullback Attractors for Nonclassical Diffusion Equations in Noncylindrical Domains. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-30.
https://search.emarefa.net/detail/BIM-505432
Modern Language Association (MLA)
The Anh, Cung& Toan, Nguyen Duong. Pullback Attractors for Nonclassical Diffusion Equations in Noncylindrical Domains. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-30.
https://search.emarefa.net/detail/BIM-505432
American Medical Association (AMA)
The Anh, Cung& Toan, Nguyen Duong. Pullback Attractors for Nonclassical Diffusion Equations in Noncylindrical Domains. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-30.
https://search.emarefa.net/detail/BIM-505432
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505432