تقرير
A class of fractional parabolic reaction-diffusion systems with control of total mass: theory and numerics
العنوان: | A class of fractional parabolic reaction-diffusion systems with control of total mass: theory and numerics |
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المؤلفون: | Daoud, Maha, Laamri, El-Haj, Baalal, Azeddine |
سنة النشر: | 2023 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 35R11, 35J62. 30G50, 47H10, 35B45 |
الوصف: | In this paper, we prove global-in-time existence of strong solutions to a class of fractional parabolic reaction-diffusion systems posed in a bounded domain of $\mathbb{R}^N$. The nonlinear reactive terms are assumed to satisfy natural structure conditions which provide non-negativity of the solutions and uniform control of the total mass. The diffusion operators are of type $u_i\mapsto d_i(-\Delta)^s u_i$ where $0 |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2306.03836 |
رقم الأكسشن: | edsarx.2306.03836 |
قاعدة البيانات: | arXiv |
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