STUDY OF INTERACTION BETWEEN VISCOELASTIC AND FRICTIONAL DAMPINGS IN WAVE EQUATIONS

(2009) STUDY OF INTERACTION BETWEEN VISCOELASTIC AND FRICTIONAL DAMPINGS IN WAVE EQUATIONS. Masters thesis, King Fahd University of Petroleum and Minerals.

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Arabic Abstract

ندرس فى هذه الرساله التفاعل بين التخميد المرن اللزج والاحتكاكي فى معادلة الموجه. لهذا الغرض نقوم بدراسة عدد من المسائل ونتوصل الى الصيغه الرياضيه التى تعطى معدل اضمحلال أسى اوكثيري حدود فى كل حاله. وهذه النتائج التي تم التوصل اليها لدوال استرخاء تضمحل اسيا اوكثيري حدود. ان هذه النتائج التي حصلنا عليها امتداد لمجموعه من النتائج السابقه المتعلقه بمسائل المرونه اللزجه.

English Abstract

In this thesis we study the interaction between viscoelastic damping and frictional damping in wave equations. In this regard, we study several problems and establish exponential and polynomial decay rate results. Our results are obtained for relaxation functions which decay exponentially or polynomially. These results extend several earlier results in the literature.

Item Type: Thesis (Masters)
Subjects: Math
Divisions: College Of Sciences > Mathematical Science Dept
Committee Advisor: Messaoudi, Salim
Committee Members: Furati, Khaled and Tatar, Nasser-eddine
Depositing User: SAEED MOHAMMED (g200403420)
Date Deposited: 17 Jun 2009 09:00
Last Modified: 01 Nov 2019 17:10
URI: http://eprints.kfupm.edu.sa/id/eprint/136078