摘要
本文研究了一类在全空间ℝ3上具有奇性和Logistic源的趋化模型的整体适定性。 通过Cole-Hopf型变换,将带奇性的趋化系统转化为非奇性的趋化系统,然后通过能量估计的方法建立该系统解的全局适定性。
In this thesis, we study the global well-posedness of a singular chemotaxis system with logistic source in three dimensional whole spaces. Through the Cole-Hopf type transformation, the singular chemotaxis is converted into a non-singular hyperbolic system,and then the global well-posedness of the transformed model solution is establishedthrough the energy estimation method.
出处
《理论数学》
2024年第5期394-408,共15页
Pure Mathematics