| Abstract: |
| In this paper, the two-dimensional incompressible chemotaxis-Euler system with logical source is studied as following:
\begin{align} \nonumber\,\, \left\{
\begin{aligned}
&n_{t}+u\cdot\nabla n=\Delta n-\nabla\cdot(n\nabla c)+n-n^3,\
&c_{t}+u\cdot\nabla c=\Delta c-nc,\
&u_{t}+u\cdot\nabla u+\nabla P=-n\nabla\phi,\
&\nabla\cdot u=0.
\end{aligned}
\right. \end{align}
By taking advantage of a coupling structure of the equations and using a scale decomposition technique, the global existence and uniqueness of weak solutions to the above system for large initial data is obtained. |
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