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Register a new userStudying the Small Movements of a System of Rotating-Relaxing Fluids
دراسة مسألة الحركات الصغيرة لجملة من السوائل المسترخية الدوّارة
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Tishreen University ورقة بحثية
Publication date
2015
fields
Mathematics
and research's language is
العربية
Authors
وديع علي( باحث )
Created by
Shamra Editor
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يهدف هذا البحث إلى دراسة مسألة الحركات الصغيرة لمجموعة من السوائل المثالية المسترخية التي تدور في حيّزٍ محدود. و نقدم في بداية البحث عرضاً للمسألة المطروحة، ثم نحوّل مسألة القيمة الحدية الابتدائية التي تصف هذه المسألة إلى مسألة كوشي بمعادلة تكاملية تفاضلية من المرتبة الثانية في فضاء هلبرت، و نبرهن على وجود حل هذه المعادلة و وحدانيتها. تعدُّ الطريقة المعتمدة في هذا البحث من الطرائق المهمة و الحديثة في دراسة الحركات الصغيرة للجمل الهيدروديناميكية.
This work suggests a study of small motions of system of anideal-relaxing fluids which rotate ina limited space. First, we present the problem and reducethe initial boundary value problem that describe it to Cauchy problem for an ordinary differential equation of the second order form in Hilbert space. This allows us to prove the unique solvability theorem.
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- adjoint Problems for Ideal Fluid, Birkh¨ auser Verlag, 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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