Global Well-Posedness for Aggregation Equation with Time-Space Nonlocal Operator and Shear Flow
Binbin Shi , Weike Wang
Communications on Applied Mathematics and Computation ›› 2022, Vol. 5 ›› Issue (3) : 1274 -1288.
Global Well-Posedness for Aggregation Equation with Time-Space Nonlocal Operator and Shear Flow
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.
Science and Technology Innovation Plan Of Shanghai Science and Technology Commission(21JC1403600)
National Natural Science Foundation of China(11831011)
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