| Abstract: |
| In this talk, we will consider a Keller-Segel-consumption system involving local sensing and growth term. For all suitably regular initial data, this system possesses global classical solutions in two-dimensional counterpart, whereas in the case of higher spatial dimensions ($n\geq3$), globally-defined classical solutions were also constructed under some restriction conditions. In higher-dimensional settings, it is asserted that certain weak solutions exist globally, which become smooth after some waiting time. |
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