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Register a new userOperators approaches in studying the problem on normal oscillations of system of m capillary viscous fluid
طرائق المؤثرات في دراسة الاهتزازات النظامية لمنظومة m سائل لزج شعري
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Tishreen University ورقة بحثية
Publication date
2015
fields
Mathematics
and research's language is
العربية
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Shamra Editor
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يهدف هذا البحث إلى دراسة مسألة الاهتزازات النظامية لمجموعة من السوائل اللزجة الشعرية في أنبوب. أثبتنا نتائج تصف طبيعة طيف المسألة المدروسة في حالة أنبوب دوّار و أنّ جملة العناصر الجذرية ( العناصر الخاصة و العناصر المرتبطة ) تشكل قاعدة آبل – ليدسكي. استخدمنا بعض النتائج من نظرية المؤثرات مترافقة ذاتياً في دراسة طبيعة طيف المسألة المدروسة في حالة أنبوب ثابت.
Our aim of this paper is studying the problem on normal oscillations of system of capillary viscous fluids in vessel. We prove results about the spectrum of the problem for rotating vessel and prove that the systems of root elements ( eigenelements and associated elements ) form an Abel-Lidsky basis. Also , we use some results from the theory of J-self adjoint operators in studying the spectrum of the problem for non-rotating vessel.
References used
KOPACHEVSKY, N.D; KREIN, S.G; NGO ZUY CAN. Operators Methods in Linear Hydrodynamics:Evolution and Spectral Problems. Nauka, Moscow, 1989,159-181
KOPACHEVSKY,N.D; KREIN,S.G .Operator Approach in Linear Problems of Hydrodynamics Vol. 1: Self-ad joint Problems for Ideal Fluid, Birkh¨auserVerlag, Basel—Boston—Berlin, 2001,383
KOPACHEVSKY,N.D; KREIN,S.G. Operator Approach in Linear Problems of Hydrodynamics. Vol. 2: Nonself - adjoint Problems for Viscous Fluids, Birkh¨auser Verlag , Basel—Boston—Berlin, 2003, 444
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