تقرير
Energy dissipation and self-similar solutions for an unforced inviscid dyadic model
| العنوان: | Energy dissipation and self-similar solutions for an unforced inviscid dyadic model |
|---|---|
| المؤلفون: | Barbato, D., Flandoli, F., Morandin, F. |
| سنة النشر: | 2008 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 35Q30, 35Q35, 76B03 |
| الوصف: | A shell-type model of an inviscid fluid, previously considered in the literature, is investigated in absence of external force. Energy dissipation of positive solutions is proved and decay of energy like $t^{-2}$ is established. Self-similar decaying positive solutions are introduced and proved to exist and classified. Coalescence and blow-up are obtained as a consequence, in the class of arbitrary sign solutions. Comment: 30 pages, submitted to Trans. Amer. Math. Soc |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/0811.1689 |
| رقم الأكسشن: | edsarx.0811.1689 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |