Abstract
In this paper, we consider the two-dimensional aggregation equation with the shear flow and time-space nonlocal attractive operator. Without the advection, the solution of the aggregation equation may blow up in finite time. We show that the shear flow can suppress the blow-up.
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Acknowledgements
The work of the first author was partially supported by Shanghai Science and Technology Innovation Action Plan (Grant No.21JC1403600). The work of the second author was partially supported by the National Natural Science Foundation of China (Grant No.11831011) and Shanghai Science and Technology Innovation Action Plan (Grant No.21JC1403600).
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Shi, B., Wang, W. Global Well-Posedness for Aggregation Equation with Time-Space Nonlocal Operator and Shear Flow. Commun. Appl. Math. Comput. 5, 1274–1288 (2023). https://doi.org/10.1007/s42967-022-00214-0
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DOI: https://doi.org/10.1007/s42967-022-00214-0