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Dynamical behavior of nonclassical diffusion equations with memory and lacking instantaneous damping.
- Source :
-
Mathematical Methods in the Applied Sciences . Mar2024, Vol. 47 Issue 4, p2548-2571. 24p. - Publication Year :
- 2024
-
Abstract
- In this paper, the asymptotic behavior of nonclassical diffusion equations with time‐dependent perturbed parameter and lacking instantaneous damping is considered on whole space ℝn$$ {\mathrm{\mathbb{R}}}^n $$. The existence and regularity of time‐dependent global attractors are proved by using a new analytical technique. It is remarkable that there is not any restriction on the upper growth of the nonlinearity f$$ f $$. The result obtained essentially extends and improves earlier ones. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HEAT equation
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 47
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 175388177
- Full Text :
- https://doi.org/10.1002/mma.9764