Studying the Small Movements of a System of Rotating-Relaxing Fluids

Authors

  • Wadia Ali

Abstract

يهدف هذا البحث إلى دراسة مسألة الحركات الصغيرة لمجموعة من السوائل المثالية المسترخية التي تدور في حيّزٍ محدود. ونقدم 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، ونبرهن على وجود حل هذه المعادلة ووحدانيتها.

تعدُّ الطريقة المعتمدة في هذا البحث من الطرائق المهمة والحديثة 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.

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Published

2019-08-19

How to Cite

1.
Ali W. Studying the Small Movements of a System of Rotating-Relaxing Fluids. TUJ-BA [Internet]. 2019Aug.19 [cited 2024Apr.19];37(1). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/1483

Issue

Vol. 37 No. 1 (2015): العلوم الأساسية

Section

Articles

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