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

Mathematics

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