Pullback Attractors for Nonclassical Diffusion Equations in Noncylindrical Domains
نویسندگان
چکیده
منابع مشابه
Pullback Attractors for Nonclassical Diffusion Equations in Noncylindrical Domains
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...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2012
ISSN: 0161-1712,1687-0425
DOI: 10.1155/2012/875913