تقرير
Existence for a singular nonlocal phase field system with inertial term
| العنوان: | Existence for a singular nonlocal phase field system with inertial term |
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| المؤلفون: | Kurima, Shunsuke |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs |
| الوصف: | In this paper we deal with a singular nonlocal phase field system with inertial term. The system has the logarithm of the absolute temperature $\theta$ under time derivative. Although the system has a difficult mathematical point caused by the combination of $(\ln \theta)_{t}$, the inertial term and the nonlocal diffusion term for the order parameter $\varphi$ (see Section 1.1), we can establish existence of solutions by a key estimate (see Remark 1.1). |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2105.07461 |
| رقم الأكسشن: | edsarx.2105.07461 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |