A GENERAL DECAY AND OPTIMAL DECAY RESULT IN A HEAT SYSTEM WITH A VISCOELASTIC TERM

doi:10.1007/s10473-019-0223-5

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (2): 618-626.doi: 10.1007/s10473-019-0223-5

• 论文 • 上一篇

A GENERAL DECAY AND OPTIMAL DECAY RESULT IN A HEAT SYSTEM WITH A VISCOELASTIC TERM

Abderrahmane YOUKANA¹, Salim A. MESSAOUDI², Aissa GUESMIA³

1. Department of Mathematics, University of Batna 2, Batna 05078, Algeria;
2. Department of Mathematics and Statistics, KFUPM, Dhahran 31261, Saudi Arabia;
3. Elie Cartan Institute of Lorraine, Université de Lorraine, 3 Rue Augustin Fresnel, BP 45112, 57073 Metz Cedex 03, France;Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

收稿日期:2017-01-25 修回日期:2018-11-08 出版日期:2019-04-25 发布日期:2019-05-06
通讯作者: Aissa GUESMIA E-mail:aissa.guesmia@univ-lorraine.fr
作者简介:Abderrahmane YOUKANA,abder.youkana@yahoo.fr;Salim A. MESSAOUDI,messaoud@kfupm.edu.sa
基金资助:
This work has been partially funded by KFUPM under Project # IN161006.

A GENERAL DECAY AND OPTIMAL DECAY RESULT IN A HEAT SYSTEM WITH A VISCOELASTIC TERM

Abderrahmane YOUKANA¹, Salim A. MESSAOUDI², Aissa GUESMIA³

1. Department of Mathematics, University of Batna 2, Batna 05078, Algeria;
2. Department of Mathematics and Statistics, KFUPM, Dhahran 31261, Saudi Arabia;
3. Elie Cartan Institute of Lorraine, Université de Lorraine, 3 Rue Augustin Fresnel, BP 45112, 57073 Metz Cedex 03, France;Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Received:2017-01-25 Revised:2018-11-08 Online:2019-04-25 Published:2019-05-06
Contact: Aissa GUESMIA E-mail:aissa.guesmia@univ-lorraine.fr
Supported by:
This work has been partially funded by KFUPM under Project # IN161006.

摘要/Abstract

摘要： We consider a quasilinear heat system in the presence of an integral term and establish a general and optimal decay result from which improves and generalizes several stability results in the literature.

关键词: heat equation, viscoelastic, general decay, optimal

Abstract: We consider a quasilinear heat system in the presence of an integral term and establish a general and optimal decay result from which improves and generalizes several stability results in the literature.

Key words: heat equation, viscoelastic, general decay, optimal

Abderrahmane YOUKANA, Salim A. MESSAOUDI, Aissa GUESMIA. A GENERAL DECAY AND OPTIMAL DECAY RESULT IN A HEAT SYSTEM WITH A VISCOELASTIC TERM[J]. 数学物理学报(英文版), 2019, 39(2): 618-626.

Abderrahmane YOUKANA, Salim A. MESSAOUDI, Aissa GUESMIA. A GENERAL DECAY AND OPTIMAL DECAY RESULT IN A HEAT SYSTEM WITH A VISCOELASTIC TERM[J]. Acta mathematica scientia,Series B, 2019, 39(2): 618-626.

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A GENERAL DECAY AND OPTIMAL DECAY RESULT IN A HEAT SYSTEM WITH A VISCOELASTIC TERM

A GENERAL DECAY AND OPTIMAL DECAY RESULT IN A HEAT SYSTEM WITH A VISCOELASTIC TERM

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