Exponential stability of a mildly dissipative viscoelastic plate equation with variable density

التفاصيل البيبلوغرافية
العنوان:	Exponential stability of a mildly dissipative viscoelastic plate equation with variable density
المؤلفون:	Yang, Xin-Guang, Araujo, Rawlilson de Oliveira, Teles, Ricardo de Sá
المساهمون:	Universidade Estadual Paulista (UNESP)
سنة النشر:	2019
المجموعة:	Universidade Estadual Paulista São Paulo: Repositório Institucional UNESP
مصطلحات موضوعية:	exponential decay, memory, plate equation, variable density
الوصف:	National Natural Science Foundation of China ; Natural Science Foundation of Henan Province ; National Natural Science Foundation of China: 11726626 ; Natural Science Foundation of Henan Province: 182102410069 ; This paper is concerned with a viscoelastic Kirchhoff plate featuring variable material density. It is modeled by the equation (Formula presented.) defined in a bounded domain of R N , where ϱ = \|u t \| ρ accounts for a velocity-dependent material density. It is known that its analogue second-order wave equation can be exponentially stabilized with the sole dissipation given by the memory term. However, for the plate equation, exponential stability was only shown with an additional strong damping −Δu t . Our objective is to show the exponential stability of the present system by exploring only the memory term.
نوع الوثيقة:	article in journal/newspaper
وصف الملف:	733-741
اللغة:	English
تدمد:	1099-1476 0170-4214
Relation:	Mathematical Methods in the Applied Sciences; http://dx.doi.org/10.1002/mma.5377; Mathematical Methods in the Applied Sciences, v. 42, n. 2, p. 733-741, 2019.; http://hdl.handle.net/11449/188518; 2-s2.0-85058713385; 8323653689815096; orcid:0000-0001-5788-1417
DOI:	10.1002/mma.5377
الاتاحة:	http://hdl.handle.net/11449/188518 https://doi.org/10.1002/mma.5377
Rights:	closedAccess
رقم الانضمام:	edsbas.2DDC08E3
قاعدة البيانات:	BASE

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الوصف
تدمد:	10991476 01704214
DOI:	10.1002/mma.5377