具有非线性趋化敏感函数的趋化模型解的局部存在性与唯一性

The Local Existence and Uniqueness of the Solution for the Chemotaxis Model with Nonlinear Chemotactic Sensitivity Function

研究了一类具有非线性趋化敏感函数的生物趋化模型解的局部存在性和唯一性问题,利用算子半群理论和压缩映像原理证明模型解的局部存在性,再利用能量法证明模型解的唯一性。

The local existence and uniqueness of a class of chemotaxis models with nonlinear chemotactic sensitive functions was studied.The local existence of the solution to the model was proved by the operator semigroup theory and the contraction mapping theory,and the uniqueness of the solution to the model was shown by the energy method.