تقرير
Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies
| العنوان: | Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies |
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| المؤلفون: | Fischer, Julian, Laux, Tim, Simon, Theresa M. |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs |
| الوصف: | We give a short and self-contained proof for rates of convergence of the Allen-Cahn equation towards mean curvature flow, assuming that a classical (smooth) solution to the latter exists and starting from well-prepared initial data. Our approach is based on a relative entropy technique. In particular, it does not require a stability analysis for the linearized Allen-Cahn operator. As our analysis also does not rely on the comparison principle, we expect it to be applicable to more complex equations and systems. Comment: 12 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2002.11994 |
| رقم الأكسشن: | edsarx.2002.11994 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |