Uniform Energy Decay Rates for the Fuzzy Viscoelastic Model with a Nonlinear Source
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-27
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper considers the fuzzy viscoelastic model with a nonlinear source utt+Lu+∫0tgt−ζΔuζdζ−uγu−ηΔut=0 in a bounded field Ω.
Under weak assumptions of the function gt, with the aid of Mathematica software, the computational technique is used to construct the auxiliary functionals and precise priori estimates.
As time goes to infinity, we prove that the solution is global and energy decays to zero in two different ways: the exponential form and the polynomial form.
American Psychological Association (APA)
Zhang, Fengyun. 2020. Uniform Energy Decay Rates for the Fuzzy Viscoelastic Model with a Nonlinear Source. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1188207
Modern Language Association (MLA)
Zhang, Fengyun. Uniform Energy Decay Rates for the Fuzzy Viscoelastic Model with a Nonlinear Source. Journal of Mathematics No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1188207
American Medical Association (AMA)
Zhang, Fengyun. Uniform Energy Decay Rates for the Fuzzy Viscoelastic Model with a Nonlinear Source. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1188207
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188207