Report
Non Conservative Products in Fluid Dynamics
| العنوان: | Non Conservative Products in Fluid Dynamics |
|---|---|
| المؤلفون: | Colombo, R. M., Guerra, G., Holle, Y. |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Mathematical Physics, 35L65, 76N10 |
| الوصف: | Fluid flow in pipes with discontinuous cross section or with kinks is described through balance laws with a non conservative product in the source. At jump discontinuities in the pipes' geometry, the physics of the problem suggests how to single out a solution. On this basis, we present a definition of solution for a general BV geometry and prove an existence result, consistent with a limiting procedure from piecewise constant geometries. In the case of a smoothly curved pipe we thus justify the appearance of the curvature in the source term of the linear momentum equation. These results are obtained as consequences of a general existence result devoted to abstract balance laws with non conservative source terms. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2104.05548 |
| رقم الانضمام: | edsarx.2104.05548 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |