带有 Yukawa 位势的 Keller-Segel 系统L1–解的全局存在性
Global Existence of L1–Solutionsfor the Keller{Segel Systemwith Yukawa Potential
DOI: 10.12677/PM.2024.142075, PDF, 下载: 30  浏览: 76 
作者: 李雅玲：福建师范大学，数学与统计学院，福建 福州
关键词: Keller-Segel系统；Cauchy问题；Yukawa位势；全局存在性；Keller{Segel System； Cauchy Problems； Yukawa Potential； Global Existence
摘要: 本文研究了ℝ2中带有 Yukawa 位势的抛物–椭圆型 Keller–Segel 系统 L1– 解的全局存在性。 文章将Wei的单调性方法推广至 γ > 0 的系统，对总质量 M ≤ 8π 情况下解的全局存在性给出一个 证明。
Abstract: In this paper, we study the global existence of L1–solutions for the parabolic{elliptic Keller{Segel system with Yukawa potential in ℝ2. We give a proof of the global existence of solutions with total mass M ≤ 8π. The proof is based on extending the monotonicity method of Wei to γ > 0 system.
文章引用：李雅玲. 带有 Yukawa 位势的 Keller-Segel 系统L1–解的全局存在性[J]. 理论数学, 2024, 14(2): 770-782. https://doi.org/10.12677/PM.2024.142075

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