Existence for a Nonlocal Multi-Species Advection Diffusion Equation

التفاصيل البيبلوغرافية
العنوان: Existence for a Nonlocal Multi-Species Advection Diffusion Equation
المؤلفون: Cozzi, Elaine, Radke, Zachary
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs
الوصف: We establish short-time existence of bounded, smooth non-negative solutions to a multi-species advection diffusion equation for a wide class of singular interaction kernels. We also give conditions on the interaction matrix, whose coefficients determine species attraction or repulsion, which ensure global existence of solutions.
Comment: 22 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2403.07159
رقم الأكسشن: edsarx.2403.07159
قاعدة البيانات: arXiv