Studying the Small Movements of a System of Rotating-Relaxing Fluids
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.
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
The authors retain the copyright and grant the right to publish in the magazine for the first time with the transfer of the commercial right to the Tishreen University Journal -Basic Sciences Series
Under a CC BY- NC-SA 04 license that allows others to share the work with of the work's authorship and initial publication in this journal. Authors can use a copy of their articles in their scientific activity, and on their scientific websites, provided that the place of publication is indicted in Tishreen University Journal -Basic Sciences Series . The Readers have the right to send, print and subscribe to the initial version of the article, and the title of Tishreen University Journal -Basic Sciences Series Publisher
journal uses a CC BY-NC-SA license which mean
You are free to:
- Share — copy and redistribute the material in any medium or format
- Adapt — remix, transform, and build upon the material
- The licensor cannot revoke these freedoms as long as you follow the license terms.
- Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- NonCommercial — You may not use the material for commercial purposes.
- ShareAlike — If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.