GLOBAL ATTRACTORS FOR A NONCLASSICAL DIFFUSION EQUATION LACKING INSTANTANEOUS DAMPING WITH MEMORY

Authors

  • dangthiphuongthanh

Keywords:

Nonclassical diffusion; lacking instantaneous damping; memory; global attractor; semigroup

Abstract

In this paper, we consider a periodic boundary value problem for a nonclassical diffusion equation lacking instantaneous damping with hereditary memory ut −∆ut −Z∞ 0 κ(s)∆u(t−s)ds + k0|u|p−1u = g. The main characteristics of the model is that the equation does not contain a term of the form −∆u, which contributes to an instantaneous damping. We use the ω-limit compactness of the solution semigroup {S(t)}t≥0 to get the existence of a global attractor.

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References

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Published

2023-06-27

How to Cite

Đặng, T. (2023). GLOBAL ATTRACTORS FOR A NONCLASSICAL DIFFUSION EQUATION LACKING INSTANTANEOUS DAMPING WITH MEMORY. SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY, 9(3). Retrieved from https://tckh.daihoctantrao.edu.vn/index.php/sjttu/article/view/970

Issue

Section

Natural Science and Technology