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STUDY OF INTERACTION BETWEEN VISCOELASTIC AND FRICTIONAL DAMPINGS IN WAVE EQUATIONS

Ali, Saeed (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)
Date:14 June 2009
Date Type:Completion
Subjects:Math
Divisions:College Of Sciences > Mathematical Science Dept
Creators:Ali, Saeed
Email:saeedmohammed199@hotmail.com
Committee Advisor:Messaoudi, Salim
Committee Members:Furati, Khaled and Tatar, Nasser-eddine
ID Code:136078
Deposited By:SAEED MOHAMMED (g200403420)
Deposited On:17 Jun 2009 09:00
Last Modified:30 Apr 2011 16:58

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