| Abstract: |
| In this talk, we consider the Keller-Segel(-Navier)-Stokes model with indirect signal production in a bounded domain with smooth boundary. Under appropriate regularity assumptions on initial data, the global solvability and asymptotic stabilization to the associated initial-boundary value problem are obtained. In comparison with the existing results for the case of direct signal production, our results reveal the regularizing effect of the indirect signal production mechanism on the Keller-Segel(-Navier)-Stokes system. |
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