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Pure Mathematics 2024
具有Logistic源的三维趋化模型的适定性研究
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Abstract:
本文研究了一类在全空间？3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 established
through the energy estimation method.
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