تقرير
Anomalous Regularization in Kraichnan's Passive Scalar Model
| العنوان: | Anomalous Regularization in Kraichnan's Passive Scalar Model |
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| المؤلفون: | Galeati, Lucio, Grotto, Francesco, Maurelli, Mario |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Probability, Mathematics - Analysis of PDEs, 76F55, 76M35, 76F25, 35R36 |
| الوصف: | We consider the advection of a passive scalar by a divergence free random Gaussian field, white in time and H\"older regular in space (rough Kraichnan's model), a well established synthetic model of passive scalar turbulence. By studying the evolution of negative Sobolev norms, we show an anomalous regularization effect induced by the dynamics: distributional initial conditions immediately become functions of positive Sobolev regularity. Comment: 24 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.16668 |
| رقم الأكسشن: | edsarx.2407.16668 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |